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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
Given
A2 = `[(2, x),(0, 1)][(2, x),(0, 1)]`
A2 = `[(2, x),(0, 1)][(2, x),(0, 1)]`
= `[(4 + 0, 2x + x),(0 + 0, 0 + 1)]`
= `[(4, 3x),(0, 1)]`
∵ A2 = B
∴ `[(4, 3x),(0, 1)] = [(4, 36),(0, 1)]`
Corresponding the corresponding elements
3x = 36
⇒ x = 12
Hence x = 12.
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