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Question
If A = `[(1, 1),(x, x)]`,find the value of x, so that A2 – 0
Solution
Given
A = `[(1, 1),(x, x)]`
A2 = `[(1, 1),(x, x)][(1, 1),(x, x)]`
= `[(1 + x, 1 + x),(x + x^2, x + x^2)]`
∵ A2 = 0
∴ = `[(1 + x, 1 + x),(x + x^2, x + x^2)]` = 0
= `[(0, 0),(0, 0)]`
Comparing
1 + x = 0
⇒ x = –1.
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