Answer:
[ 53 29]
Explanation:
To find the product matrix CD we need to find the dot product of each row of C with each column of D.
Where the dot product of two vectors is equal to:
[tex]\lbrack a\text{ b c\rbrack }\cdot\lbrack d\text{ e f\rbrack = ad + be+ cf}[/tex]
Therefore, the dot product of each row of C by each column of D is equal to:
[5 9 7] [ 2 4 1 ] = 5(2) + 9(4) + 7(1)
[5 9 7] [ 2 4 1 ] = 10 + 36 + 7
[5 9 7] [ 2 4 1 ] = 53
[5 9 7] [ -4 0 7 ] = 5(-4) + 9(0) + 7(7)
[5 9 7] [ -4 0 7 ] = -20 + 0 + 49
[5 9 7] [ -4 0 7 ] = 29
Therefore, the correct product matrix is:
[ 53 29]
