Question

True False a) For nxn A, A and AT can have different eigenvalues. b) The vector v 0 cannot be an eigenvector of A. c) If λ's an eigenvalue of A, then λ2 is an eigenvalue of A2. True False d) If A is invertible, then A is diagonalizable. e) If nxn A is singular, then Null(A) is an eigenspace of A. f) For nxn A, the product of the eigenvalues is the trace of A. True False g) If A is diagonalizable, then the representation A PDP-1 is unique. True h) If A is diagonalizable, so is AT. i) Let u, v) be a basis for W, a subspace of Rn. Then for y in R" the orthogonal True False True False True False False True False projection of y onto W is (yu/uulu (yv/vv)v. j) Every nxn matrix with all real eigenvalues is diagonalizable. True False True False

Answer 1

eton veder som 3 C True False , ate etgan Palse Mot False Cau 。True Falye e cua