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Read each question carefully! Give accurate and complete answers to the following questions. 1. A is a 11 x 13 matrix. a. Give the smallest possible value for the nullity of A. Explain. b. Give the largest possible value for the rank of A. Explain. c. Is Col AT all of R13? Explain. d. dim Nul A - dim Nul AT = 2. Suppose A and B are 5 x 5 matrices, det AB = 3, and det B = 2. a. det A-1 = b. det A TA = c. det ABA = d. The EROS 2R1 + R2 - R2, aR2 - R2 and R1