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Algebra of Matrices — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Matrices2 Marks
Question
Find the value of y, if $\begin{bmatrix}\text{x}-\text{y}&2\\\text{x}&5 \end{bmatrix}=\begin{bmatrix}2&2\\3&5 \end{bmatrix}$
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Answer

Given,
$\begin{bmatrix}\text{x}-\text{y}&2\\\text{x}&5 \end{bmatrix}=\begin{bmatrix}2&2\\3&5 \end{bmatrix}$
Since, corresponding entries of equal matrices are equal, so
x = 3
and x - y = 2
⇒ 3 - y = 2
⇒ -y = 2 - 3
⇒ -y = -1
⇒ y = 1

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