Maharashtra State BoardHSC Commerce 12th Board Exam
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Choose the correct alternative. If A is a 2x2 matrix such that A(adj.A) = [5005], then |A| = _______ - Mathematics and Statistics

MCQ

Choose the correct alternative.

If A is a 2x2 matrix such that A(adj.A) = `[(5, 0),(0, 5)]`, then |A| = _______

Options

  • 0

  • 5

  • 10

  • 25

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Solution

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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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 2 Matrices
Miscellaneous Exercise 2 | Q 1.12 | Page 82
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