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# HW3 - R 4 1 1-1-1-3 4 1-1 2-3-1 4(Problem 1.5.13 in text...

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Math 3013 Homework Set 3 Problems from § 1.5 (pg. 84-85 of text): 1,3,5,7,9,11,13,16 1. (Problems 1.5.1, 1.5.3, 1.5.5 and 1.5.7 in text.) Find the inverses of the following matrices, if they exist; and express each invertible matrix as a product of elementary matrices. (a) ± 1 1 0 1 ² (b) ± 3 6 4 8 ² (c) 1 0 1 0 1 1 0 0 - 1 (d) 2 1 4 3 2 5 0 - 1 1 2. (Problem 1.5.9 in text). Find the inverse of 1 0 0 0 0 0 0 - 1 0 0 0 0 0 0 2 0 0 0 0 0 0 3 0 0 0 0 0 0 4 0 0 0 0 0 0 5 3. (Problem 1.5.11 in text). Determine whether the span of the column vectors of the given matrix is
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Unformatted text preview: R 4 . 1 1-1-1-3 4 1-1 2-3-1 4. (Problem 1.5.13 in text). Show that the following matrix is invertible and ﬁnd its inverse. A = ± 2-3 5-7 ² 5. (Problem 1.5.16 in text). Let A-1 = 1 2 1 3 1 4 1 2 If possible, ﬁnd a matrix C such that AC = 1 2 1 4 1 1...
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