GO Mechanical
Login
Register
Dark Mode
Brightness
Profile
Edit Profile
Messages
My favorites
My Updates
Logout
Recent activity in Linear Algebra
1
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 1
Consider an $n \times n$ matrix $\text{A}$ and a non-zero $n \times 1$ vector $p.$ Their product $Ap=\alpha ^{2}p$, where $\alpha \in \Re$ and $\alpha \notin \left \{ -1,0,1 \right \}$. Based on the given information, the eigen value of $A^{2}$ is: $\alpha$ $\alpha ^{2}$ $\surd{\alpha }$ $\alpha ^{4}$
Consider an $n \times n$ matrix $\text{A}$ and a non-zero $n \times 1$ vector $p.$ Their product $Ap=\alpha ^{2}p$, where $\alpha \in \Re$ and $\alpha \notin \left \{ -1...
ShouvikSVK
280
points
ShouvikSVK
answered
Jan 21, 2022
Linear Algebra
gateme-2021-set2
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 27
Let the superscript $\text{T}$ represent the transpose operation. Consider the function $f(x)=\frac{1}{2}x^TQx-r^Tx$, where $x$ and $r$ are $n \times 1$ vectors and $\text{Q}$ is a symmetric $n \times n$ matrix. The stationary point of $f(x)$ is $Q^{T}r$ $Q^{-1}r$ $\frac{r}{r^{T}r}$ $r$
Let the superscript $\text{T}$ represent the transpose operation. Consider the function $f(x)=\frac{1}{2}x^TQx-r^Tx$, where $x$ and $r$ are $n \times 1$ vectors and $\tex...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Apr 11, 2021
Linear Algebra
gateme-2021-set2
linear-algebra
matrix-algebra
+
–
0
answers
0
votes
GATE Mechanical 2021 Set 1 | Question: 26
Consider a vector $\text{p}$ in $2$-dimensional space. Let its direction (counter-clockwise angle with the positive $\text{x}$-axis) be $\theta$. Let $\text{p}$ be an eigenvector of a $2\times2$ matrix $\text{A}$ ... ${p}'=\theta ,\left \| {p}' \right \|= \left \| p \right \|/\lambda$
Consider a vector $\text{p}$ in $2$-dimensional space. Let its direction (counter-clockwise angle with the positive $\text{x}$-axis) be $\theta$. Let $\text{p}$ be an ei...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Apr 11, 2021
Linear Algebra
gateme-2021-set1
linear-algebra
eigen-values
eigen-vectors
+
–
0
answers
0
votes
GATE2020-ME-2: 19
Let $\textbf{I}$ be a $100$ dimensional identity matrix and $\textbf{E}$ be the set of its distinct (no value appears more than once in $\textbf{E})$ real eigen values. The number of elements in $\textbf{E}$ is _________
Let $\textbf{I}$ be a $100$ dimensional identity matrix and $\textbf{E}$ be the set of its distinct (no value appears more than once in $\textbf{E})$ real eigen values. T...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
retagged
Mar 6, 2021
Linear Algebra
gateme-2020-set2
numerical-answers
linear-algebra
eigen-values
+
–
1
answers
0
votes
GATE2020-ME-2: 2
A matrix $P$ is decomposed into its symmetric part $S$ and skew symmetric part $V$ ... $\begin{pmatrix} -2 & 9/2 & -1 \\ -1 & 81/4 & 11 \\ -2 & 45/2 & 73/4 \end{pmatrix}$
A matrix $P$ is decomposed into its symmetric part $S$ and skew symmetric part $V$. If $$S= \begin{pmatrix} -4 & 4 & 2 \\ 4 & 3 & 7/2 \\ 2 & 7/2 & 2 \end{pmatrix}, \: \: ...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
retagged
Mar 6, 2021
Linear Algebra
gateme-2020-set2
linear-algebra
matrices
+
–
0
answers
0
votes
GATE2020-ME-1: 1
Multiplication of real valued square matrices of same dimension is associative commutative always positive definite not always possible to compute
Multiplication of real valued square matrices of same dimension isassociativecommutativealways positive definitenot always possible to compute
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 6, 2021
Linear Algebra
gateme-2020-set1
linear-algebra
matrices
+
–
1
answers
0
votes
GATE2019 ME-2: 1
In matrix equation $[A] \{X\}=\{R\}$, $[A] = \begin{bmatrix} 4 & 8 & 4 \\ 8 & 16 & -4 \\ 4 & -4 & 15 \end{bmatrix} \{X\} = \begin{Bmatrix} 2 \\ 1 \\ 4 \end{Bmatrix} \text{ and} \{ R \} = \begin{Bmatrix} 32 \\ 16 \\ 64 \end{Bmatrix}$ One of the eigen values of matrix $[A]$ is $4$ $8$ $15$ $16$
In matrix equation $[A] \{X\}=\{R\}$,$[A] = \begin{bmatrix} 4 & 8 & 4 \\ 8 & 16 & -4 \\ 4 & -4 & 15 \end{bmatrix} \{X\} = \begin{Bmatrix} 2 \\ 1 \\ 4 \end{Bmatrix} \text{...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
retagged
Mar 6, 2021
Linear Algebra
gateme-2019-set2
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE2019 ME-2: 18
The transformation matrix for mirroring a point in $x – y$ plane about the line $y=x$ is given by $\begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix} \\$ $\begin{bmatrix} -1 & 0 \\ 0 & 1 \end{bmatrix} \\$ $\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} \\$ $\begin{bmatrix} 0 & -1 \\ -1 & 0 \end{bmatrix}$
The transformation matrix for mirroring a point in $x – y$ plane about the line $y=x$ is given by$\begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix} \\$$\begin{bmatrix} -1 &...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 5, 2021
Linear Algebra
gateme-2019-set2
linear-algebra
matrix-algebra
+
–
0
answers
0
votes
GATE2019 ME-1: 26
The set of equations $\begin{array}{l} x+y+z=1 \\ ax-ay+3z=5 \\ 5x-3y+az=6 \end{array}$ has infinite solutions, if $a=$ $-3$ $3$ $4$ $-4$
The set of equations $$\begin{array}{l} x+y+z=1 \\ ax-ay+3z=5 \\ 5x-3y+az=6 \end{array}$$has infinite solutions, if $a=$$-3$$3$$4$$-4$
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 5, 2021
Linear Algebra
gateme-2019-set1
linear-algebra
system-of-equations
+
–
1
answers
1
votes
GATE2019 ME-1: 1
Consider the matrix $P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$ The number of distinct eigenvalues $0$ $1$ $2$ $3$
Consider the matrix$$P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$$The number of distinct eigenvalues$0$$1$$2$$3$
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
retagged
Mar 5, 2021
Linear Algebra
gateme-2019-set1
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE2018-1-2
The rank of the matrix $\begin{bmatrix} -4 & 1 & -1 \\ -1 & -1 & -1 \\ 7 & -3 & 1 \end{bmatrix}$ is $1$ $2$ $3$ $4$
The rank of the matrix $\begin{bmatrix} -4 & 1 & -1 \\ -1 & -1 & -1 \\ 7 & -3 & 1 \end{bmatrix}$ is$1$$2$$3$$4$
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 5, 2021
Linear Algebra
gateme-2018-set1
linear-algebra
matrices
rank-of-matrix
+
–
1
answers
0
votes
GATE2018-2-19
If $A=\begin{bmatrix}1 & 2 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 1 \end{bmatrix}$ then $\text{det}(A^{-1})$ is _______ (correct to two decimal palces).
If $A=\begin{bmatrix}1 & 2 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 1 \end{bmatrix}$ then $\text{det}(A^{-1})$ is _______ (correct to two decimal palces).
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
retagged
Mar 5, 2021
Linear Algebra
gateme-2018-set2
numerical-answers
linear-algebra
matrices
rank-of-matrix
+
–
1
answers
0
votes
GATE2017 ME-2: 28
Consider the matrix $A=\begin{bmatrix} 50 &70 \\ 70 & 80 \end{bmatrix}$ whose eigenvectors corresponding to eigenvalues $\lambda _{1}$ and $\lambda _{2}$ are $x_{1}=\begin{bmatrix} 70 \\ \lambda_{1}-50 \end{bmatrix}$ and $x_{2}=\begin{bmatrix} \lambda _{2}-80\\ 70 \end{bmatrix}$, respectively. The value of $x^{T}_{1} x_{2}$ is _________.
Consider the matrix $A=\begin{bmatrix}50 &70 \\70 & 80\end{bmatrix}$ whose eigenvectors corresponding to eigenvalues $\lambda _{1}$ and $\lambda _{2}$ are $x_{1}=\begin{b...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
retagged
Mar 5, 2021
Linear Algebra
gateme-2017-set2
numerical-answers
linear-algebra
eigen-values
eigen-vectors
+
–
1
answers
0
votes
GATE2017 ME-2: 3
The determinant of a $2 \times 2$ matrix is $50$. If one eigenvalue of the matrix is $10$, the other eigenvalue is _________.
The determinant of a $2 \times 2$ matrix is $50$. If one eigenvalue of the matrix is $10$, the other eigenvalue is _________.
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
retagged
Mar 5, 2021
Linear Algebra
gateme-2017-set2
numerical-answers
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE2017 ME-1: 26
Consider the matrix $P=\begin{bmatrix} \dfrac{1}{\sqrt{2}} & 0 &\dfrac{1}{\sqrt{2}} \\ 0 & 1 & 0\\ -\dfrac{1}{\sqrt{2}} &0 & \dfrac{1}{\sqrt{2}} \end{bmatrix}$ Which one of the following statements about $P$ is INCORRECT ? Determinant of P is equal to $1$. $P$ is orthogonal. Inverse of $P$ is equal to its transpose. All eigenvalues of $P$ are real numbers.
Consider the matrix $P=\begin{bmatrix} \dfrac{1}{\sqrt{2}} & 0 &\dfrac{1}{\sqrt{2}} \\ 0 & 1 & 0\\ -\dfrac{1}{\sqrt{2}} &0 & \dfrac{1}{\sqrt{2}}\end{bmatrix}$ Which one ...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
retagged
Mar 5, 2021
Linear Algebra
gateme-2017-set1
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE2017 ME-1: 1
The product of eigenvalues of the matrix $P$ is $P=\begin{bmatrix} 2 & 0 & 1\\ 4& -3 &3 \\ 0 & 2 & -1 \end{bmatrix}$ $-6$ $2$ $6$ $-2$
The product of eigenvalues of the matrix $P$ is$P=\begin{bmatrix}2 & 0 & 1\\ 4& -3 &3 \\ 0 & 2 & -1\end{bmatrix}$$-6$$2$$6$$-2$
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
retagged
Mar 5, 2021
Linear Algebra
gateme-2017-set1
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE2016-3-26
The number of linearly independent eigenvectors of matrix $A=\begin{bmatrix} 2 & 1 & 0\\ 0 &2 &0 \\ 0 & 0 & 3 \end{bmatrix}$ is _________
The number of linearly independent eigenvectors of matrix $A=\begin{bmatrix} 2 & 1 & 0\\ 0 &2 &0 \\ 0 & 0 & 3 \end{bmatrix}$ is _________
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 5, 2021
Linear Algebra
gateme-2016-set3
numerical-answers
linear-algebra
eigen-values
eigen-vectors
+
–
0
answers
0
votes
GATE2016-3-1
A real square matrix $\textbf{A}$ is called skew-symmetric if $A^T=A$ $A^T=A^{-1}$ $A^T=-A$ $A^T=A+A^{-1}$
A real square matrix $\textbf{A}$ is called skew-symmetric if$A^T=A$$A^T=A^{-1}$$A^T=-A$$A^T=A+A^{-1}$
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 5, 2021
Linear Algebra
gateme-2016-set3
linear-algebra
matrices
+
–
0
answers
0
votes
GATE2016-2-1
The condition for which the eigenvalues of the matrix $A=\begin{bmatrix} 2 & 1\\ 1 & k \end{bmatrix}$ are positive, is $k > 1/2$ $k > −2$ $k > 0$ $k < −1/2$
The condition for which the eigenvalues of the matrix$A=\begin{bmatrix} 2 & 1\\ 1 & k \end{bmatrix}$are positive, is$k 1/2$$k −2$$k 0$$k < −1/2$
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 5, 2021
Linear Algebra
gateme-2016-set2
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 1
Consider a $3×3$ real symmetric matrix S such that two of its eigenvalues are $a\neq 0$, $b\neq 0$ with respective eigenvectors $\begin{bmatrix} x_1\\ x_2\\ x_3 \end{bmatrix}$, $\begin{bmatrix} y_1\\ y_2\\ y_3 \end{bmatrix}$ If $a\neq b$ then $x_1y_1+x_2y_2+x_3y_3$ equals $a$ $b$ $ab$ $0$
Consider a $3×3$ real symmetric matrix S such that two of its eigenvalues are $a\neq 0$, $b\neq 0$ with respective eigenvectors $\begin{bmatrix} x_1\\ x_2\\ x_3 \end{bma...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
edited
Mar 5, 2021
Linear Algebra
gateme-2014-set3
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
answers
0
votes
GATE2016-1-1
The solution to the system of equations $\begin{bmatrix} 2 & 5\\-4 &3 \end{bmatrix}\begin{bmatrix} x\\y \end{bmatrix}=\begin{bmatrix} 2\\ -30 \end{bmatrix}$ is $6,2$ $-6,2$ $-6,-2$ $6,-2$
The solution to the system of equations$\begin{bmatrix} 2 & 5\\-4 &3 \end{bmatrix}\begin{bmatrix} x\\y \end{bmatrix}=\begin{bmatrix} 2\\ -30 \end{bmatrix}$ is$6,2$$-6,2$$...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 5, 2021
Linear Algebra
gateme-2016-set1
linear-algebra
matrices
system-of-equations
+
–
0
answers
0
votes
GATE2015-3-42
For a given matrix $P=\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix}$, where $i=\sqrt{-1}$, the inverse of matrix $P$ is $P=\displaystyle{\frac{1}{24}}\begin{bmatrix} 4-3i & i\\ -i & 4+3i \end{bmatrix} \\$ ... $P=\displaystyle{\frac{1}{25}}\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix} \\$
For a given matrix $P=\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix}$, where $i=\sqrt{-1}$, the inverse of matrix $P$ is$P=\displaystyle{\frac{1}{24}}\begin{bmatrix} ...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Linear Algebra
gateme-2015-set3
linear-algebra
matrices
+
–
0
answers
0
votes
GATE2015-3-15
The lowest eigenvalue of the $2\times 2$ matrix $\begin{bmatrix} 4 & 2\\ 1 & 3 \end{bmatrix}$ is ________
The lowest eigenvalue of the $2\times 2$ matrix $\begin{bmatrix} 4 & 2\\ 1 & 3 \end{bmatrix}$ is ________
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Linear Algebra
gateme-2015-set3
numerical-answers
linear-algebra
matrices
eigenvalues
+
–
0
answers
0
votes
GATE2015-2-1
At least one eigenvalue of a singular matrix is positive zero negative imaginary
At least one eigenvalue of a singular matrix ispositivezeronegativeimaginary
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Linear Algebra
gateme-2015-set2
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE2015-1-1
If any two columns of a determinant $P=\begin{bmatrix} 4 & 7 & 8\\ 3 & 1 & 5\\ 9 & 6 & 2 \end{bmatrix}$ are interchanged, which one of the following statements regarding the value of the determinant is CORRECT? ... . Both absolute value and sign will change. Absolute value will change but sign will not change. Both absolute value and sign will remain unchanged.
If any two columns of a determinant $P=\begin{bmatrix} 4 & 7 & 8\\ 3 & 1 & 5\\ 9 & 6 & 2 \end{bmatrix}$ are interchanged, which one of the following statements regarding ...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
retagged
Mar 4, 2021
Linear Algebra
gateme-2015-set1
linear-algebra
matrices
+
–
1
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 1
Which one of the following equations is a correct identity for arbitrary $3 \times 3$ real matrices $P$, $Q$ and $R$? $P(Q+R)=PQ+RP$ $(P-Q)^2 = P^2 -2PQ -Q^2$ $\text{det } (P+Q)= \text{det } P+ \text{det } Q$ $(P+Q)^2=P^2+PQ+QP+Q^2$
Which one of the following equations is a correct identity for arbitrary $3 \times 3$ real matrices $P$, $Q$ and $R$?$P(Q+R)=PQ+RP$$(P-Q)^2 = P^2 -2PQ -Q^2$$\text{det } ...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Linear Algebra
gateme-2014-set4
linear-algebra
matrices
matrix-algebra
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 4
The matrix form of the linear syatem $\dfrac{dx}{dt}=3x-5y$ and $\dfrac{dy}{dt}=4x+8y$ is $\dfrac{d}{dt}\begin{Bmatrix} x\\y \end{Bmatrix}=\begin{bmatrix} 3 & -5\\ 4& 8 \end{bmatrix}\begin{Bmatrix} x\\y \end{Bmatrix} \\$ ...
The matrix form of the linear syatem $\dfrac{dx}{dt}=3x-5y$ and $\dfrac{dy}{dt}=4x+8y$ is$\dfrac{d}{dt}\begin{Bmatrix} x\\y \end{Bmatrix}=\begin{bmatrix} 3 & -5\\ 4& 8 \e...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Linear Algebra
gateme-2014-set1
linear-algebra
matrices
matrix-algebra
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 1
Given that the determinant of the matrix $\begin{bmatrix} 1 & 3 & 0\\ 2 & 6 & 4\\ -1 & 0 & 2 \end{bmatrix}$ is $-12$, the determinant of the matrix $\begin{bmatrix} 2 & 6 & 0\\ 4 & 12 & 18\\ -2 & 0 & 4 \end{bmatrix}$ is $-96$ $-24$ $24$ $96$
Given that the determinant of the matrix $\begin{bmatrix} 1 & 3 & 0\\ 2 & 6 & 4\\ -1 & 0 & 2 \end{bmatrix}$ is $-12$, the determinant of the matrix $\begin{bmatrix} 2 & 6...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Linear Algebra
gateme-2014-set1
linear-algebra
matrices
determinant
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 18
If there are $m$ sources and $n$ destinations in a transportation matrix, the total number of basic variables in a basic feasible solution is $m + n$ $m + n + 1$ $m + n − 1$ $m$
If there are $m$ sources and $n$ destinations in a transportation matrix, the total number of basic variables in a basic feasible solution is$m + n$$m + n + 1$$m + n − ...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Linear Algebra
gateme-2014-set2
linear-algebra
matrix-algebra
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 1
One of the eigen vectors of the matrix $\begin{bmatrix} -5 & 2\\ -9 & 6 \end{bmatrix}$ is $\begin{Bmatrix} -1\\ 1 \end{Bmatrix} \\$ $\begin{Bmatrix} -2\\ 9 \end{Bmatrix} \\$ $\begin{Bmatrix} 2\\ -1 \end{Bmatrix} \\$ $\begin{Bmatrix} 1\\ 1 \end{Bmatrix} \\$
One of the eigen vectors of the matrix $\begin{bmatrix} -5 & 2\\ -9 & 6 \end{bmatrix}$ is$\begin{Bmatrix} -1\\ 1 \end{Bmatrix} \\$$\begin{Bmatrix} -2\\ 9 \end{Bmatrix} \\...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Linear Algebra
gateme-2014-set2
linear-algebra
eigen-values
eigen-vectors
+
–
0
answers
0
votes
GATE ME 2013 | Question: 2
The eigen values of a symmetric matrix are all complex with non-zero positive imaginary part. complex with non-zero negative imaginary part. real. pure imaginary.
The eigen values of a symmetric matrix are allcomplex with non-zero positive imaginary part.complex with non-zero negative imaginary part.real.pure imaginary.
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
retagged
Mar 3, 2021
Linear Algebra
gateme-2013
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE ME 2012 | Question: 47
$x+2y+z=4$ $2x+y+2z=5$ $x-y+z=1$ The system of algebraic equations given above has a unique solution of $x=1$, $y=1$ and $z=1$ only the two solutions of $(x=1, y=1, z=1)$ and $(x=2, y=1, z=0)$ infinite number of solutions no feasible solution
$x+2y+z=4$$2x+y+2z=5$$x-y+z=1$The system of algebraic equations given above hasa unique solution of $x=1$, $y=1$ and $z=1$only the two solutions of $(x=1, y=1, z=1)$ and ...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 3, 2021
Linear Algebra
gateme-2012
linear-algebra
system-of-equations
+
–
0
answers
0
votes
GATE ME 2012 | Question: 36
For the matrix $A = \begin{bmatrix} 5 & 3 \\ 1 & 3 \end{bmatrix}$, ONE of the normalized eigen vectors is given as $\begin{pmatrix} \dfrac{1}{2} \\ \dfrac{\sqrt{3}}{2} \end{pmatrix} \\$ ... $\begin{pmatrix} \dfrac{1}{\sqrt{5}} \\ \dfrac{2}{\sqrt{5}} \end{pmatrix}$
For the matrix $A = \begin{bmatrix} 5 & 3 \\ 1 & 3 \end{bmatrix}$, ONE of the normalized eigen vectors is given as$\begin{pmatrix} \dfrac{1}{2} \\ \dfrac{\sqrt{3}}{2} \en...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 3, 2021
Linear Algebra
gateme-2012
linear-algebra
eigen-values
eigen-vectors
+
–
To see more, click for all the
questions in this category
.
GO Mechanical
Email or Username
Show
Hide
Password
I forgot my password
Remember
Log in
Register