Part II (20%) True or False. For each statement, select T if the statement is true (in all cases), or select T if false (for at least one example). No justication needed. 6- (a) T F If a set of m vectors in R\" is linearly independent, then m S n. (b) T F A 5 X 8 matrix cannot have a 2dimensional null space. (c) T F If a 5 X 5 matrix has only 3 distinct eigenvalues, then A cannot be diagonalizable. (d) T F A linear transformation from R5 to R3 cannot be onetoone. (e) T F If :rTAzL' > 0 for some :L'j then the quadratic form {ET/451; is positive denite. (f) T F If a linear system Ax = b is consistent, then rank [A b] 2 rank A. (g) T F If two square matrices are similar= then they have the same eigenvalues. (h) T F If W is a subspace of R3 and v is a vector in R3, then v is in W' or v is in Wi. (i) T F If U is an orthogonal matrix, then the rows of U form an orthonormal basis of R\". (j) T F If A is a 3 X 3 symmetric matrix and if u and v are vectors in R3 such that All : 3u and Av : 5v, then u - v : O