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If A = [4x01], B = [21201] and A = B2, the value of x is ______. -

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Question

If A = `[(4, x),(0, 1)]`, B = `[(2, 12),(0, 1)]` and A = B2, the value of x is ______.

Options

  • 38

  • – 6

  • – 36

  • 36

MCQ
Fill in the Blanks

Solution

If A = `[(4, x),(0, 1)]`, B = `[(2, 12),(0, 1)]` and A = B2, the value of x is 36.

Explanation:

Given A = B2

`\implies [(4, x),(0, 1)] = [(2, 12),(0, 1)][(2, 12),(0, 1)]`

= `[(4 + 0, 24 + 12),(0 + 0, 0 + 1)]`

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

∴ x = 36

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