h9 - + x 3 + x 4 = 0 x 1 + 2 x 3 = 0 The following problems...

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Homework Set 9 for MAS 4105 Due Friday, March 23 1. Compute the inverse of A = 0 1 2 - 1 3 2 0 1 1 M 3 × 3 ( R ). 2. Let n < m , let A M m × n ( F ), and let B M n × m ( F ). Prove that the m × m matrix AB is not invertible. 3. Find a basis for the solution set of the following homogeneous system of linear equations over R : - x 1 - x 2 - x 3 - x 4 = 0 x 1 + x 2
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Unformatted text preview: + x 3 + x 4 = 0 x 1 + 2 x 3 = 0 The following problems are strongly recommended, but should not be turned in: 3.3: 1, 2aceg, 3aceg, 4, 5, 7ace, 8, 9, 10 3.4: 1, 3, 4, 5 4.1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 4.2: 1, 2, 3, 4, 9, 11, 13, 19, 21, 23, 24, 25, 27, 28, 29...
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