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Question
If A = `[(2, x),(0, 1)]` and B = `[(4, 36),(0, 1)]`; find the value of x, given that A2 = B.
Solution
A2 = `[(2, x),(0, 1)][(2,x),(0, 1)]`
= `[(2 xx 2 + x xx 0, 2 xx x + x xx 1),(0 xx 2 + 1 xx 0, 0 xx x + 1 xx 1)]`
= `[(4 + 0, 2x + x),(0 + 0, 0 + 1)]`
= `[(4, 3x),(0, 1)]`
Given A2 = B
`[(4, 3x),(0, 1)] = [(4, 36),(0, 1)]`
Comparing the two matrices, we get
3x = 36
`=>` x = `36/3` = 12
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