Which of the following statements are True or False
If matrix AB = O, then A = O or B = O or both A and B are null matrices.

Question

Which of the following statements are True or False If matrix AB = O, then A = O or B = O or both A and B are null matrices.

Philoid · Accepted Answer

False

∵ Its not necessary that for multiplication of matrix A and B to be 0 one of them has to be a null matrix.

Eg

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Which of the following statements are True or FalseIf matrix AB = O, then A = O or B = O or both A and B are null matrices.