Matrices are real and of size n by n, unless otherwise stated. 1. (20pt) True or false; give proof /explanation or count

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Matrices Are Real And Of Size N By N Unless Otherwise Stated 1 20pt True Or False Give Proof Explanation Or Count 1 (29.02 KiB) Viewed 92 times

Matrices are real and of size n by n, unless otherwise stated. 1. (20pt) True or false; give proof /explanation or counterexample. (a) Given A = [1 y 2 – y] e RnX3. If r and y are orthogonal, then dim(R(A)) = 3. (b) The nullspace of B is a subspace of the nullspace of AB. (c) If R(AT) = R(A), then A is symmetric. (d) Given A € R3X5. If rank(A) = 3, then det(AA+) = 1. a =