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Recent questions tagged linear-algebra
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1
Gate2006-EE
...
asked
Sep 29
in
Linear Algebra
by
Kushagra गुप्ता
(
120
points)
gate2006-ee
linear-algebra
+1
vote
0
answers
2
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)
gate2013-ee
linear-algebra
state-equations
system-of-linear-equations
0
votes
0
answers
3
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)
gate2013-ee
linear-algebra
state-equations
system-of-linear-equations
0
votes
0
answers
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)
gate2013-ee
linear-algebra
matrix
eigen-values
eigen-vectors
0
votes
0
answers
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)
gate2013-ee
linear-algebra
matrix
system-of-linear-equations
0
votes
0
answers
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)
gate2014-ee-1
linear-algebra
eigen-values
eigen-matrix
numerical-answers
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