Find the value of x- if 2 begin bmatrix 183110 - xy - 0 1182 e n d b m a t r i x - bmatrix 5 - 6 1188bmatrix A- 1B- 2C- 3D- 4

The correct option is C 3[ 2 amp; 6; 0 amp; 2x ]+[ y amp; 0; 1 amp; 2 ]=[ 5 amp; 6; 1 amp; 8 ] [ 2+y amp; 6+0; 0+ ...

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Byju's Answer

Standard X

Mathematics

Equality of Matrices

Find the valu...

Question

Find the value of x, if $2 [\begin{matrix} 1 & 3 0 & x \end{matrix}] + [\begin{matrix} y & 0 1 & 2 \end{matrix}] = [\begin{matrix} 5 & 6 1 & 8 \end{matrix}]$

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Solution

The correct option is C 3
$[\begin{matrix} 2 & 6 0 & 2 x \end{matrix}] + [\begin{matrix} y & 0 1 & 2 \end{matrix}] = [\begin{matrix} 5 & 6 1 & 8 \end{matrix}] [\begin{matrix} 2 + y & 6 + 0 0 + 1 & 2 x + 2 \end{matrix}] = [\begin{matrix} 5 & 6 1 & 8 \end{matrix}] ⟹ [\begin{matrix} 2 + y & 6 1 & 2 x + 2 \end{matrix}] = [\begin{matrix} 5 & 6 1 & 8 \end{matrix}]$
As the given matrices are equal, therefore their corresponding elements must be equal.
$2 x + 2 = 8 \Rightarrow 2 x = 6 \Rightarrow x = 3$

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