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18 January, 20:23

Let A have a row all of whose entries are zero. Explain why the product AB also has a zero row.

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  1. 18 January, 20:36
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    Reason is Matrix Multiplication Technique

    Step-by-step explanation:

    Matrix Multiplication: In matrix multiplication each element of a row is multiplied with each element of a column. So, row with all its zero entries is multiplied with all of the columns and making corresponding entries as zeros as well.

    Therefore, A with a row having all zero entries also produces a row with all zero entries during multiplication with any matrix B.
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