1. [14 points] true-false type questions [2 points each] a. detat (-1)deta. b. a finite set of vectors that contains 0 will be linearly dependent. c. det a 0 if and only if nullity (a) = 0._ d. suppose w is a subspace of a vector product space v and w its orthogonal complement, then wn w = {}. e. if anxm matrix then, ata is an invertible matrix f. if a is an orthogonal matrix of order n then, det (a) t1. g. a square matrix a of order n is diagonalizable if and only if it has n linearly independent eigenvectors