Question

(i)Let U₁ = (p(x) = P₁: p(x)is even) and U₂ {p(x) E P3: p(x)is odd). Can we claim that U₁ U₂ = P3? (ii)Let A be an n x n matrix and A can be factored

as ABC, where Bis an n x p matrix and Cis a px n matrix with np. Can the matrix A be invertible? Justify your answer.

Answer 1

The answer to your question is provided below