Question

If A = `[(7, 0, x), (0, 7, 0), (0, 0, y)]` is a scalar matrix, then y^x is equal to ______.

विकल्प

• 0

• 1

• 7

• ± 7

Answer 1

If A = `[(7, 0, x), (0, 7, 0), (0, 0, y)]` is a scalar matrix, then y^x is equal to 1.

Explanation:

A = `[(7, 0, x), (0, 7, 0), (0, 0, y)]`

Since A is a scalar matrix.

∴ x = 0 and y =7 

Now y^x = 7⁰ = 1