math111hw6 - MATH111 HW 6 Due Date: 22nd, Oct, 2007 (Mon)...

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Unformatted text preview: MATH111 HW 6 Due Date: 22nd, Oct, 2007 (Mon) Please hand in your homework in the tutorial session or by putting it in the collection box outside MATH dept (Rm 3461, Lift 25-26). Ch 3.3 # 6 Usec Cramer’s rule to compute the solutions of the system 2 x 1 + x 2 + x 3 = 4- x 1 + 2 x 3 = 2 3 x 1 + x 2 + 3 x 3 =- 2 Ch 3.3 # 20 Find the area of the parallelogram whose vertices are (0 , 0) , (- 1 , 3) , (4 ,- 5) , (3 ,- 2). Ch 3.3 # 24 Find the volume of the parallelepiped with one vertex at the orifin and adjacent vertices at (1 , 4 , 0) , (- 2 ,- 5 , 2) , (- 1 , 2 ,- 1). Ch 2.4 # 4 Assume the following matrices are partitioned conformably for block mul- tiplication. Compute the product I- X I A B C D Ch 2.4 # 6 Assume the following matrices are partitioned conformably for block mul- tiplication. Find formulas for X,Y and Z in terms of A,B and C , and justify your calculations. In some cases, you may need to make assump- tions about the size of a matrix in order to produce a formula. [ Hint...
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This note was uploaded on 04/03/2010 for the course MATH math111 taught by Professor Cheng during the Spring '07 term at HKUST.

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math111hw6 - MATH111 HW 6 Due Date: 22nd, Oct, 2007 (Mon)...

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