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If A = [2-13-451] and B = [234-215], then ______. - Mathematics

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Question

If A = `[(2, -1, 3),(-4, 5, 1)]` and B = `[(2, 3),(4, -2),(1, 5)]`, then ______.

Options

  • Only AB is defined

  • Only BA is defined

  • AB and BA both are defined

  • AB and BA both are not defined.

MCQ
Fill in the Blanks

Solution

If A = `[(2, -1, 3),(-4, 5, 1)]` and B = `[(2, 3),(4, -2),(1, 5)]`, then AB and BA both are defined.

Explanation:

Let A = [aij]2×3 B = [bij]3×2 .

Both AB and BA are defined.

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Chapter 3: Matrices - Solved Examples [Page 51]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 3 Matrices
Solved Examples | Q 10 | Page 51

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