Question

If A = `[(0,0,0,0),(0,0,0,0),(1,0,0,0),(0,1,0,0)],` then ____________.

पर्याय

• A² = O

• none of these

• A² = I

• A³ = O

Answer 1

If A = `[(0,0,0,0),(0,0,0,0),(1,0,0,0),(0,1,0,0)],` then A² = O.

Explanation:

A square matrix's product with itself is always a zero matrix if any row or column is 0.