Recent questions tagged linear-algebra - GO Electrical

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Gate2006-EE
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asked Sep 29 in Linear Algebra by Kushagra गुप्ता (120 points)

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GATE2013-50
The state variable formulation of a system is given as ... The system is controllable but not observable not controllable but observable both controllable and observable both not controllable and not observable

asked Feb 12, 2017 in Linear Algebra by piyag476 (1.5k points)

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GATE2013-51
The state variable formulation of a system is given as $\begin{bmatrix} x^\cdot_1 \\ x^\cdot_2 \end{bmatrix}=\begin{bmatrix} -2 & 0\\ 0 & -1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}+\begin{bmatrix} 1\\ 1 \end{bmatrix}u$ , $x_1(0)=0$ , $x_2(0)=0$ ... $1-\frac{1}{2}e^{-2t}-\frac{1}{2}e^{-t}$ $e^{-2t}-e^{-t}$ $1-e^{-t}$

asked Feb 12, 2017 in Linear Algebra by piyag476 (1.5k points)

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4

GATE2013-35
A matrix has eigenvalues $-1$ and $-2$. The corresponding eigenvectors are $\begin{bmatrix} 1\\-1 \end{bmatrix}$ and $\begin{bmatrix} 1\\-2 \end{bmatrix}$ respectibely. The matrix is $\begin{bmatrix} 1 & 1\\ -1 & -2 \end{bmatrix}$ ... $\begin{bmatrix} -1 & 0\\ 0 & -2 \end{bmatrix}$ $\begin{bmatrix} 0& 1\\ -2 & 3 \end{bmatrix}$

asked Feb 12, 2017 in Others by piyag476 (1.5k points)

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5

GATE2013-25
The equation$\begin{bmatrix} 2&-2 \\ 1& -1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}=\begin{bmatrix} 0\\0 \end{bmatrix}$ has no solution only one solution $\begin{bmatrix} x1\\x2 \end{bmatrix}=\begin{bmatrix} 0\\0 \end{bmatrix}$ non-zero unique solution multiple solutions

asked Feb 12, 2017 in Linear Algebra by piyag476 (1.5k points)

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6

GATE2014-1-46
A system matrix is given as follows. $A=\begin{bmatrix} 0 & 1 & -1\\ -6 & -11 &6 \\ -6& -11& 5 \end{bmatrix}$ The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______

asked Feb 12, 2017 in Linear Algebra by makhdoom ghaya (9.2k points)

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