Register
Dark Mode

GATE2016-2-1

in Linear Algebra recategorized by
0 votes
0 votes

The condition for which the eigenvalues of the matrix

$A=\begin{bmatrix} 2 & 1\\ 1 & k \end{bmatrix}$

are positive, is

  1. $k > 1/2$
  2. $k > −2$
  3. $k > 0$
  4. $k < −1/2$

 

 

in Linear Algebra recategorized by
by ♦
27.4k points

Please log in or register to answer this question.

Answer:

Related questions

1 answer
0 votes
0 votes
go_editor asked in Linear Algebra Mar 1, 2021
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: $\alpha$ $\alpha ^{2}$ $\surd{\alpha }$ $\alpha ^{4}$
go_editor asked in Linear Algebra Mar 1, 2021
by go_editor
5.0k points
1 answer
0 votes
0 votes
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 asked in Linear Algebra Feb 9, 2019
by Arjun
27.4k points
1 answer
0 votes
0 votes
Arjun asked in Linear Algebra Feb 27, 2017
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 _________.
Arjun asked in Linear Algebra Feb 27, 2017
by Arjun
27.4k points
Welcome to GO Mechanical, where you can ask questions and receive answers from other members of the community.
Top Users Feb 2023
    Developed by Chun
    Link Copied!