How do I multiply the matrix $((6, 4, 24),(1, -9, 8))$ by the matrix $((1, 5, 0), (3, -6, 2))$ ?

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Answer 1 · 2018-07-09T20:59:32

You can't.

Given: $[(6, 4, 24), (1, -9, 8)] xx [(1, 5, 0),(3, -6, 2)]$

To multiply matrices the second matrix must have the same number of rows and the number of columns of the first matrix.

1st matrix: $2 xx 3 => 2 " rows by " 3 " columns"$

2nd matrix: $2 xx 3 => 2 " rows by " 3 " columns"$

To multiply, the 2nd matrix must be $3 xx 1 " or "3 xx 2 " or " 3 xx 3$ , etc.

If we have a $n xx m$ times a $m xx p$ , the product would be a $n xx p$

How do I multiply the matrix ((6, 4, 24),(1, -9, 8))((6, 4, 24),(1, -9, 8)) by the matrix ((1, 5, 0), (3, -6, 2))((1, 5, 0), (3, -6, 2))?