Unformatted text preview: needed. All matrices in this problem have size n × n . a. If A has linearly independent columns then the columns of A span R n . b. If EF = FE for matrices E and F , then F and E are invertible. c. If B x = has a non-trivial solution, then B is invertible. d. If C and D are row equivalent, then they are invertible. e. If G T is invertible then G has n pivot positions. 4. Let T : R n → R n be a linear transformation which is not onto. Is T one to one? Is T invertible? Page 3...
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- Fall '06