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If A, B are square matrices of order 3, A is non-singular and AB = O, then B is a - Mathematics

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Question

If AB are square matrices of order 3, A is non-singular and AB = O, then B is a 

Options

  • null matrix

  • singular matrix

  • unit-matrix 

  • non-singular matrix

MCQ

Solution

null matrix

Since A is non-singular matrix and the determinant of a non-singular matrix is non-zero, B should be a null matrix.

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Chapter 5: Algebra of Matrices - Exercise 5.7 [Page 66]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.7 | Q 9 | Page 66

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