Question

Please help me answer this

Answer 1

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.