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Question
If A = `[(3, x),(0, 1)] and "B" = [(9, 16),(0, -y)]`find x and y when A2 = B
Solution
Given
A = `[(3, x),(0, 1)] and "B" = [(9, 16),(0, -y)]`find x and y when A2 = B
Now, A2 = A x A
= `[(3, x),(0, 1)] xx [(3, x),(0, 1)]`
= `[(9, 3x + x),(0, 1)]`
= `[(9, 4x),(0, 1)]`
We have A2 = B
Two matrices are equal if each and every corresponding element is equal.
Thus `[(9, 4x),(0, 1)] = [(9, 16),(0, -y)]`
⇒ 4x = 16 and 1 = –y
⇒ x = 4 and y = –1.
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