Question

What is the value of a, b, c and 'd' from the following equation?

`[(2a + b, a - 2b),(5c - d, 4c + 3d)] = [(4, -3),(11, 24)]`

Options

• 1, 2, 3, 4

• 2, 3, 4, 1

• 4, 2, 1, 3

• 1, 3, 4, 2

Answer 1

1, 2, 3, 4

Explanation:

We obtain the equality of two matrices by equating the corresponding elements.

`{:(2a + b = 4, 5c - d = 11),(a - 2b = - 3, 4c + 3d = 24):}`

Solving there equation, we get,

a = 1, b = 2, c = 3, d = 4.