Question: a) Let A anq2B be two nn matrices. A Linear Algebra Professor 2 as d hether rank of B and AB are the same if

a) Let A anq2B be two nn matrices. A Linear Algebra

a) Let A anq2B be two nn matrices. A Linear Algebra Professor 2 as d hether rank of B and AB are the same if A has full rank. What should be the answer? Justify. (b) If A2=A,B2=B and IAB is invertible then help the students to prove A and B are of same rank. [5 Marks]

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