Recent questions tagged linear-algebra - GO Electronics

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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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GATE2013-55
The state diagram of a system is shown below. A system is described by the state-variable equations $\dot{X}= AX+Bu;\:\: y = CX+Du$ The state transition matrix $e^{At}$ of the system shown in the figure above is $\begin{bmatrix} e^{-t}& 0\\te^{-t} &e^{-t} \end{bmatrix}$ ... $\begin{bmatrix} e^{-t}&-te^{-t} \\ 0 &e^{-t} \end{bmatrix}$

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

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GATE2013-27
Let $A$ be an $m \times n$ matrix and $B$ an $n \times m$ matrix. It is given that determinant $(I_{m} + AB) =$ determinant $(I_{n} + BA),$ where $I_{k}$ is the $k \times k$ ... $2$ $5$ $8$ $16$

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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