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If A, B are non-singular square matrices of the same order, then (AB–1)–1 = ______.

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Question

If A, B are non-singular square matrices of the same order, then (AB–1)–1 = ______.

Options

  • A–1B

  • A–1B–1

  • BA–1

  • AB

MCQ
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Solution

If A, B are non-singular square matrices of the same order, then (AB–1)–1 = `underline(bb(BA^-1))`.

Explanation:

(AB–1)–1 = (B–1)–1A–1 = BA–1

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