Find X- if Y- begin bmatrix 38211184end bmatrix and 2 X - Y - begin bmatrix 180 1-3 - 2 1lendbmatrix

Given, 2X+Y =[ 1 amp; 0; 3 amp; 2; ] and Y =[ 3 amp; 2; 1 amp; 4; ] ⇒ 2X=[ 1 amp; 0; 3 amp; 2 ] Y=[ 1 amp; 0; ...

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Inverse of a Matrix

Find X, if Y=...

Question

Find X, if $Y = [\begin{matrix} 3 & 2 1 & 4 \end{matrix}] a n d 2 X + Y = [\begin{matrix} 1 & 0 - 3 & 2 \end{matrix}]$

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x, y

[\begin{matrix} - 2 & 0 3 & 1 \end{matrix}] [\begin{matrix} - 1 2 x \end{matrix}] + 3 [\begin{matrix} - 2 1 \end{matrix}] = 2 [\begin{matrix} y 3 \end{matrix}]

X

Y = [\begin{matrix} 3 & 2 1 & 4 \end{matrix}]

2 X + Y = [\begin{matrix} 1 & 0 - 3 & 2 \end{matrix}]

A = [\begin{matrix} x + y & y 2 x & x - y \end{matrix}], B = [\begin{matrix} 2 - 1 \end{matrix}]

C = [\begin{matrix} 32 \end{matrix}] .

A B = C

x

y

[\begin{matrix} x + y & y 2 x & x - y \end{matrix}] [\begin{matrix} 2 - 2 \end{matrix}] = [\begin{matrix} 32 \end{matrix}]

x - y

[\begin{matrix} 3 & - 1 2 & 5 \end{matrix}] [\begin{matrix} x y \end{matrix}] = [\begin{matrix} 4 - 3 \end{matrix}],

x

y

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