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Recent questions tagged system-of-equations

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GATE Mechanical 2024 | Question: 4
​​​​​Consider the system of linear equations\[\begin{array}{c}x+2 y+z=5 \\2 x+a y+4 z=12 \\2 x+4 y+6 z=b\end{array}\]The values of $a$ and $b$ such that there exists a no...
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GATE2019 ME-1: 26
The set of equations $$\begin{array}{l} x+y+z=1 \\ ax-ay+3z=5 \\ 5x-3y+az=6 \end{array}$$has infinite solutions, if $a=$$-3$$3$$4$$-4$
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GATE ME 2012 | Question: 47
$x+2y+z=4$$2x+y+2z=5$$x-y+z=1$The system of algebraic equations given above hasa unique solution of $x=1$, $y=1$ and $z=1$only the two solutions of $(x=1, y=1, z=1)$ and ...
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GATE2016-1-1
The solution to the system of equations$\begin{bmatrix} 2 & 5\\-4 &3 \end{bmatrix}\begin{bmatrix} x\\y \end{bmatrix}=\begin{bmatrix} 2\\ -30 \end{bmatrix}$ is$6,2$$-6,2$$...
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