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solq4 - Solutions to quiz 4(September 30 1 Computing the...

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Solutions to quiz # 4 (September 30) 1. Computing the inverse, we obtain 1 0 1 | 1 0 0 2 1 a +2 | 0 1 0 3 - 1 4 - a | 0 0 1 -→ 1 0 1 | 1 0 0 0 1 a | - 2 1 0 0 - 1 1 - a | - 3 0 1 -→ 1 0 1 | 1 0 0 0 1 a | - 2 1 0 0 0 1 | - 5 1 1 -→ 1 0 0 | 6 - 1 - 1 0 1 0 | 5 a - 2 1 - a - a 0 0 1 | - 5 1 1 . Answer: The inverse matrix is 6 - 1 - 1 5 a - 2 1 - a - a - 5 1 1 . 2. Solving for X , we obtain ABXC =
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