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Recent questions tagged linearalgebra
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1
GATE201414
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
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15.7k
points)
gate2014ec1
linearalgebra
matrix
eigenvalues
numericalanswers
0
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0
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2
GATE201355
The state diagram of a system is shown below. A system is described by the statevariable 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)
gate2013ec
linearalgebra
matrix
0
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0
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3
GATE201327
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
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Linear Algebra
by
Milicevic3306
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15.7k
points)
gate2013ec
linearalgebra
matrix
determinant
0
votes
1
answer
4
GATE201319
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)
gate2013ec
linearalgebra
eigenvalues
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