Is it true for matrices (as it is for real numbers) that AB equals a zero matrix

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Is it true for matrices (as it is for real numbers) that AB equals a zero matrix if and only if either A or B equals a zero matrix? (Refer to Problems 23-32.)
4 3 -5 -3 -2 -7 11 -3 зо C= 1 -1 3 0 -8 F= 0 -1 -1 -4 -3 -3 01 4) 4) 4. 4) 4) 2.
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