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GATE2020-ME-1: 1
go_editor
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Linear Algebra
Feb 19, 2020
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Mar 6, 2021
by
Lakshman Patel RJIT
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Multiplication of real valued square matrices of same dimension is
associative
commutative
always positive definite
not always possible to compute
gateme-2020-set1
linear-algebra
matrices
go_editor
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Linear Algebra
Feb 19, 2020
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Mar 6, 2021
by
Lakshman Patel RJIT
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go_editor
asked
in
Linear Algebra
Sep 18, 2020
GATE2020-ME-2: 2
A matrix $P$ is decomposed into its symmetric part $S$ and skew symmetric part $V$ ... $\begin{pmatrix} -2 & 9/2 & -1 \\ -1 & 81/4 & 11 \\ -2 & 45/2 & 73/4 \end{pmatrix}$
go_editor
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Linear Algebra
Sep 18, 2020
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gateme-2020-set2
linear-algebra
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1
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Arjun
asked
in
Linear Algebra
Feb 9, 2019
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 $4$ $8$ $15$ $16$
Arjun
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Linear Algebra
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
linear-algebra
matrices
eigen-values
1
answer
1
vote
1
vote
Arjun
asked
in
Linear Algebra
Feb 9, 2019
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 $0$ $1$ $2$ $3$
Arjun
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Linear Algebra
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set1
linear-algebra
matrices
eigen-values
0
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0
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0
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Arjun
asked
in
Linear Algebra
Feb 27, 2017
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.
Arjun
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Linear Algebra
Feb 27, 2017
by
Arjun
27.4k
points
gateme-2017-set1
linear-algebra
matrices
eigen-values
0
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0
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0
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Arjun
asked
in
Linear Algebra
Feb 27, 2017
GATE2017 ME-1: 1
The product of eigenvalues of the matrix $P$ is $P=\begin{bmatrix} 2 & 0 & 1\\ 4& -3 &3 \\ 0 & 2 & -1 \end{bmatrix}$ $-6$ $2$ $6$ $-2$
Arjun
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Linear Algebra
Feb 27, 2017
by
Arjun
27.4k
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gateme-2017-set1
linear-algebra
matrices
eigen-values
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