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GATE2015-34
Milicevic3306
asked
in
Linear Algebra
Mar 26, 2018
recategorized
Mar 18, 2021
by
Lakshman Patel RJIT
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$$\begin{array}{cc} 2x_1+ x_2 = 35 \\ 5x_1 + bx_2 = 7.5 \end{array}$$ The system of linear equations in two variables shown above will have infinite solutions, if and only if, $b$ is equal to _________
gate2015
numerical-answers
linear-algebra
system-of-equations
Milicevic3306
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Linear Algebra
Mar 26, 2018
recategorized
Mar 18, 2021
by
Lakshman Patel RJIT
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Milicevic3306
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Mar 26, 2018
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The value of $c$ for which the following system of linear equations has an infinite number of solutions is ________ $\begin{bmatrix}1 & 2 \\ 1 & 2 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} c \\ 4 \end{bmatrix}$
Milicevic3306
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Linear Algebra
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7.9k
points
gate2017
numerical-answers
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Milicevic3306
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Linear Algebra
Mar 26, 2018
GATE2015-39
What are the eigenvalues of the following matrix? $\begin{bmatrix} 1 & 1 \\ -2 & 4 \end{bmatrix}$ $2$ and $3$ $-2$ and $3$ $2$ and $-3$ $-2$ and $-3$
Milicevic3306
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in
Linear Algebra
Mar 26, 2018
by
Milicevic3306
7.9k
points
gate2015
linear-algebra
matrices
eigen-values
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Milicevic3306
asked
in
Linear Algebra
Mar 26, 2018
GATE2015-52
If $A = \begin{bmatrix} 4 & 2 \\ 1 & 3 \end{bmatrix}$, then $A^2+3A$ will be $\begin{bmatrix} 30 & 20 \\ 10 & 20 \end{bmatrix} \\$ $\begin{bmatrix} 28 & 10 \\ 4 & 18 \end{bmatrix} \\$ $\begin{bmatrix} 31 & 13 \\ 7 & 21 \end{bmatrix} \\$ $\begin{bmatrix} 20 & 10 \\ 5 & 15 \end{bmatrix}$
Milicevic3306
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Linear Algebra
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7.9k
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gate2015
linear-algebra
matrices
matrix-algebra
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5
Milicevic3306
asked
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Linear Algebra
Mar 26, 2018
GATE2014-3
The solution for the following set of equations is, $5x+4y+102=13$ $x+3y+z=7$ $4x2y+z=0$ $x=2,y=1,z=1$ $x=1,y=2,z=0$ $x=1,y=0,z=2$ $x=0,y=1,z=2$
Milicevic3306
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Linear Algebra
Mar 26, 2018
by
Milicevic3306
7.9k
points
gate2014
linear-algebra
system-of-equations
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