Q:

What is the product??? A scalar and matrix problem.

Accepted Solution

A:
Answer:[tex]\left[\begin{array}{ccc}15&14\\-1&9\end{array}\right][/tex]Step-by-step explanation:To perform this product, you need to orderly multiply the elements of a row of the first matrix times the elements of a column in the second matrix, and add the individual products.The rows and columns that need to be multiplied to populate the for elements of the resulting matrix are highlighted in different colors in the attached image.Here I give you the product and addition results for each element:For the element in red: 1*2 + 3*3 +1*4 =2+9+4=15For the element in green: Β 1*(-2)+3*5+1*1=-2+15+1 = 14For the element in blue: (-2)*2+1*3+0*4=-4+3+0 = -1For the element in brown: (-2)*(-2)+1*5+0*1= 4+5+0= 9