Question

If `[(a,c,0),(b,d,0),(0,0,5)]` is a scalar matrix, then the value of a + 2b + 3c + 4d is ______.

Options

• 0

• 5

• 10

• 25

Answer 1

If `[(a,c,0),(b,d,0),(0,0,5)]` is a scalar matrix, then the value of a + 2b + 3c + 4d is 25.

Explanation:

In scalar matrix all diagonal elements are equal so,

a = d = 5

c = b = 0

value of a + 2b + 3c + 4d

= 5 + 20

= 25