tutorial8 - A is invertible. Then find A-1 . (d) Solve the...

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Tutorial #8 - MAT 1332A - Fall 2009 November 9, 2009 Section 5.1: questions 17 and 21 Let A = 3 0 - 1 2 1 1 , B = ± 4 - 1 0 2 ² , C = ± 1 4 2 3 1 5 ² . Compute the following (where possible): (a) 2 A T + C (b) AB (c) CB (d) tr ( CC T ) (e) det A (f) det B Consider the following system: x 1 + 2 x 2 + 3 x 3 = 1 2 x 1 + 5 x 2 + 3 x 3 = - 1 x 1 + 8 x 3 = 2 (a) Express the system as a single matrix equation AX = b . (b) Find det A . (c) Using (b), conclude that
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Unformatted text preview: A is invertible. Then find A-1 . (d) Solve the system using A-1 . Then verify that your solution is the right one by plugging the values into the system of equations. Answer : (c) A-1 = -40 16 9 13-5-3 5-2-1 • Why is the matrix 1 6 4 2 4-1-1 2 5 not invertible? 1...
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This note was uploaded on 02/23/2010 for the course MAT MAT1332 taught by Professor Arianemasuda during the Fall '09 term at University of Ottawa.

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