M 340L HW 8 Solutions

7 13 b 2 0 5 4 and 13 0 6 a 5 4 now 1 2 5 so

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Unformatted text preview: . FALSE correct 4. volume = 11 2. TRUE 5. volume = 9 Explanation: Set −4 −3 7 −4 5 . 7 13 B = 2 0 5 −4 and 13 0 −6 A= 5 −4 Now 1 2 5 so Explanation: The parallelopiped is determined by the vectors 4 3 2 u = −3 , v = −1 , w = −1 . −4 −4 −1 Thus its volume is the absolute value of 4 −3 −4 det 3 −1 −4 2 −1 3 0 −4 −4 13 R −2R1 −3 −2 − → 0 −6 −− 7 5 −4 1 A = −2 0 00 1 0B . 01 −4 5 , 7 =4 −1 −4 −1 −1 −1 +3 3 −4 2 −1 −4 3 −1 2 −1 Consequently, the parallelopiped has volume = 7 . . cruz (fmc326) – HW08 – gilbert – (56540) 009 10.0 points Show that when the matrix b1 b2 b...
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This document was uploaded on 03/16/2014 for the course M 340L at University of Texas.

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