Recent questions tagged eigen-values - GO Electronics

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GATE2016-1-6
Which one of the following is an eigen function of the class of all continuous-time, linear, time-invariant systems ($u(t)$ denotes the unit-step function)? $e^{j\omega_0t}u(t)$ $\cos(\omega_0t)$ $e^{j\omega_0t}$ $\sin(\omega_0t)$

asked Mar 28, 2018 in Others by Milicevic3306 (15.7k points)

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GATE2015-2-2
The value of $x$ for which all the eigen-values of the matrix given below are real is $\begin{bmatrix} 10&5+j &4 \\ x&20 &2 \\4 &2 &-10 \end{bmatrix}$ $5+j$ $5-j$ $1-5j$ $1+5j$

asked Mar 28, 2018 in Others by Milicevic3306 (15.7k points)

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GATE2014-1-4
A real $(4 \times 4)$ matrix $A$ satisfies the equation $A^{2} = I$, where $I$ is the $(4 \times 4)$ identity matrix. The positive eigen value of $A$ is ______.

asked Mar 26, 2018 in Linear Algebra by Milicevic3306 (15.7k points)

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4

GATE2013-19
The minimum eigenvalue of the following matrix is $\begin{bmatrix} 3& 5& 2\\5 &12 &7 \\2 &7 & 5\end{bmatrix}$ $0$ $1$ $2$ $3$

asked Mar 26, 2018 in Linear Algebra by Milicevic3306 (15.7k points)

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GATE2017 EC-1: 1
Consider the 5 $\times$ 5 matrix $\begin{bmatrix} 1&2&3&4&5\\ 5&1 &2& 3 &4\\ 4&5&1&2&3\\ 3&4&5&1&2\\ 2&3&4&5&1 \end{bmatrix}$ It is given that A has only one real eigenvalue. Then the real eigenvalue of A is $-2.5$ $0$ $15$ $25$

asked Nov 17, 2017 in Linear Algebra by admin (2.8k points)

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