Question

How do you multiply `((2, 1), (3, 4))` and `((3, 5, -2), (4, 6, -3))`?

Answer 1

Elements of the product matrix are the sum of row entries from the first matrix times corresponding column entries from the second matrix.

Explanation:

`((2,1),(3,4))xx((3,5,-2),(4,6,-3))`

`color(white)("XXX")=((2xx3+1xx4,color(white)("XX"),2xx5+1xx6,color(white)("XX"),2xx(-2)+1xx(-3)),(3xx3+4xx4,color(white)("XX"),3xx5+4xx6,color(white)("XX"),3xx(-2)+4xx(-3)))`

`color(white)("XXX")=((10,16,-7),(25,39,-18))`