Question

Let A = `((cos^2x, sin^2x),(sin^2x, cos^2x))` and B = `((sin^2x, cos^2x),(cos^2x, sin^2x))`. Then the determinant of the matrix A + B is

Options

• 1

• 10

• 0

• 2

Answer 1

0

Explanation:

A + B = `[(cos^2x + sin^2x, sin^2x + cos^2x),(sin^2x + cos^2x, cos^2x + sin^2x)] = [(1, 1),(1, 1)] |A + B| = |(1, 1),(1, 1)|` = 0