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If `A = [(2, X),(0, 1)] and B = [(4, 36),(0, 1)]`. Find the Vlaue of X Given that A^2 = B - ICSE Class 10 - Mathematics

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Question

If `A = [(2, x),(0, 1)] and B = [(4, 36),(0, 1)]`. Find the vlaue of x given that `A^2 = B`

Solution

`A^2 = [(2, x),(0, 1)][(2,x),(0, 1)] = [(4 + 0, 2x + x),(0 + 0, 0 + 1)] = [(4, 3x),(0, 1)]`

Given `A^2 = B`

`[(4, 3x),(0, 1)] = [(4, 36),(0, 1)]`

Comparing the two matrices we get

`3x = 36 => x = 12`

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Solution If `A = [(2, X),(0, 1)] and B = [(4, 36),(0, 1)]`. Find the Vlaue of X Given that A^2 = B Concept: Addition and Subtraction of Matrices.
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