Question

If A = `[(-i, 0),(0, i)]`, then A^TA is equal to

पर्याय

• `l`

• `- iA`

• `- l`

• `iA`

Answer 1

`- l`

Explanation:

A = `[(-i, 0),(0, i)]`, A^T = `[(-i, 0),(0, i)]`

A^TA = `[(-i, 0),(0, i)][(-i, 0),(0, i)] = [(i^2, 0),(0, i^2)] = [(-1, 0),(0, -1)] = - l`