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Unformatted text preview: Y instead (which got about 12 points of partial credit). X = 1 2 3 4 Y = 22 6 7 Id strongly suggest checking your answer  which should be much easier than solving the problem. 3) These were HW problems from Ch 1. I already have answers or hints posted on this site, but if you need more help, you can always see me. Bonus: Suppose A is singular and C = AB . Then A T is singular, because det A T = det A = 0 [or, we could justify this step without determinants, using Exercise 17 of Ch 1.3). 1 So, B T A T is singular (by problem 3b above, since the A T is on the right side). So, the transpose of this is singular, namely AB . Done. Note: Transposes have many purposes, and this proof shows one of them  to swap the left and right factors in a product. 2...
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 Spring '09
 JULIANEDWARDS

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