Maharashtra State BoardHSC Commerce 12th Board Exam
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Choose the correct alternative. If A is a 2 x 2 matrix such that A(adj. A) = [5005], then |A| = _______ - Mathematics and Statistics

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MCQ

Choose the correct alternative.

If A is a 2 x 2 matrix such that A(adj. A) = `[(5, 0),(0, 5)]`, then |A| = _______

Options

  • 0

  • 5

  • 10

  • 25

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Solution

5

Explanation:

A(adj A) = |A| I

A(adj A) = `[(5, 0),(0, 5)] = 5[(1, 0),(0, 1)]`

∴  |A| = 5.

Concept: Inverse of Matrix
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