Answer:
option d
Step-by-step explanation:
AB = C
Step 1: Multiply row 1 of matrix B by column 1, 2 and 3 of matrix A to get first column of C
(2x-2)+(3x5)+(-5x-1) (2x-4)+(3x1)+(-5x-3) (2x2)+(3x5)+(-5x-4)
= (-4+15-5 -8+3+15 4+15+20)
= (16 10 39)
Step 2: Multiply row 2 of matrix B by column 1, 2 and 3 of matrix A to get second column of C
(5x-2)+(-4x5)+(2x-1) (5x-4)+(-4x1)+(2x-3) (5x2)+(-4x5)+(2x-4)
= (-10-20-2 -20-4-6 10-20-8)
= (-32 -30 -18)
Step 3: Multiply row 3 of matrix B by column 1, 2 and 3 of matrix A to get third column of C
(-1x-2)+(-1x5)+(3x-1) (-1x-4)+(-1x1)+(3x-3) (-1x2)+(-1x5)+(3x-4)
= (2-5-3 4-1-9 -2-5-12)
= (-6 -6 -19)
Step 4: Form the whole matrix
(16 10 39)
(-32 -30 -18 )
(-6 -6 -19 )
Therefore, option d is correct.
