1.

If \(​​\begin{bmatrix}7y & 5 \\[0.3em]2x\,-\,3y& -3 \\[0.3em]\end{bmatrix}\)=\(​​\begin{bmatrix}-21 & 5 \\[0.3em]11& -3 \\[0.3em]\end{bmatrix}\),then find the value of x.

Answer»

Using equality of two matrices,

7y = – 21

⇒ y = – 3

2x – 3y = 11

⇒ 2x + 9 = 11

⇒ x = 1

∴ x = 1, y = – 3



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