## Question

# Problem 3.5 (4 points). We will prove, in steps, that rank (L) = rank(LT) for any LE Rnxm (a) Prove that rank (L) =

## Problem 3.5 (4 points). We will prove, in steps, that rank (L) = rank(LT) for any LE Rnxm (a) Prove that rank (L) = rank (LTL). (Hint: use Problem 3.4.) (b) Use part (a) to deduce that that rank(L) = rank(LT).

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