1. (25 pts. 5 points each) Judge if the following description are true or false, respectively. (a) If two or more eigenv

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1 25 Pts 5 Points Each Judge If The Following Description Are True Or False Respectively A If Two Or More Eigenv 1 (96.25 KiB) Viewed 28 times

1. (25 pts. 5 points each) Judge if the following description are true or false, respectively. (a) If two or more eigenvalues of matrix A are the same, then A is nonsingular. (b) If all the column vectors of an nxm matrix are linearly independent, then they span the space of R". = + 2 (c) If A and B be any vectors in R”, then || A + B ||* + ||A - B||2 2014|| + ||B1). (d) If A and B are both nxn orthogonal matrices, then BA is also an orthogonal matrix. (e) If an nxn matrix A makes AX = B have solutions, then the reduced matrix of A is an identity matrix. =