Question

Given four matrices a=[7,-4,5] b=[3,2,-1] p=[6,-1,8,3] q=[4,-9-2,5] find a) product of a and b a) product of p and q.

Answer 1

Answer:

(a) 8 (b) 64

Step-by-step explanation:

a = [ 7, -4 , 5 ]

b = [ 3 , 2 , -1 ]

a x b = (7 x 3) + (-4 x 2) + (5 x -1) = 21 - 8 - 5 = 8

p = [ 6 , -1 , 8 , 3 ]

q = [4 , -9, -2 , 5 ]

p x q = (6 x 4) + (-1 x -9) + (8 x 2) + (3 x 5) = 24 + 9 + 16 + 15 = 64

Answer: (a) 8 (b) 64

Answer 2

Given:

a = [ 7, -4 , 5 ]

b = [ 3 , 2 , -1 ]

p = [ 6 , -1 , 8 , 3 ]

q = [4 , -9, -2 , 5 ]

To find:

• a * b
• p * q

Solution:

By matrix operations,

a * b = ( 7 * 3 ) + ( -4 * 2 ) + ( 5 * -1 )

21 - 8 - 5

a * b = 8

p * q = ( 6 * 4 ) + ( -1 * -9 ) + ( 8 * 2 ) + ( 3 * 5 )

24 + 9 + 16 + 15

p * q = 64