Register

GATE2017 ME-2: 3

• retagged by
452 views

1 Answer

0 0 votes
The multiplication of all the  Eigen  values is determinant of the matrix. The number of Eigen values of a matrix is equal to number of diagonal elements.

In this case, there are two Eigen values and one of them is $10$. So, the other Eigen values is $50 \div 10 = 5$.

Related questions

0 0 votes
1 1 answer
949
949 views
Arjun asked Feb 26, 2017
949 views
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{b...
0 0 votes
0 0 answers
453
453 views
Arjun asked Feb 26, 2017
453 views
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 ...
0 0 votes
0 0 answers
339
339 views
Arjun asked Feb 26, 2017
339 views
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$
0 0 votes
1 1 answer
713
713 views
Arjun asked Feb 9, 2019
713 views
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{...
Voting & Accepting an answer helps improve the community

Related questions

0 0 votes
1 1 answer
949
949 views
Arjun asked Feb 26, 2017
949 views
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{b...
0 0 votes
0 0 answers
453
453 views
Arjun asked Feb 26, 2017
453 views
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 ...
0 0 votes
0 0 answers
339
339 views
Arjun asked Feb 26, 2017
339 views
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$
0 0 votes
1 1 answer
713
713 views
Arjun asked Feb 9, 2019
713 views
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{...
← Previous · GATE2017 ME-2: 2Next → · GATE2017 ME-2: 4
← Previous in category · GATE2017 ME-1: 26Next in category → · GATE2017 ME-2: 28
Position:
Show:
Answer:

Add Synced Question

×