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124 Pages

### ITI 111 Homework 7

Course: 790 373, Fall 2007
School: Rutgers
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Word Count: 237

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111 Homework ITI 7 Matrix Multiplication, Vectors A =| | B=| | C=| | 1. Lets say we want to find D such that AB = D. Matrix D: a. b. c. d. Is undefined since we cannot multiply A and B. Is a 2 x 3 matrix Is a 3 x 2 matrix Is a 2 x 2 matrix 2. In order to find a. b. c. d. 3. (D row 1, column 2) w e need to: Multiply and Multiply and Take the inner product of A row 1 and B column 2 Take the inner product...

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111 Homework ITI 7 Matrix Multiplication, Vectors A =| | B=| | C=| | 1. Lets say we want to find D such that AB = D. Matrix D: a. b. c. d. Is undefined since we cannot multiply A and B. Is a 2 x 3 matrix Is a 3 x 2 matrix Is a 2 x 2 matrix 2. In order to find a. b. c. d. 3. (D row 1, column 2) w e need to: Multiply and Multiply and Take the inner product of A row 1 and B column 2 Take the inner product of A row 2 and B column 1 = a. b. c. d. 4. 3 0 14 -6 = a. b. c. d. 3 0 14 -6 5. Lets say we want to find D such that AC = D. Matrix D: a. Is undefined since we cannot multiply and A C. b. Is a 2 x 3 matrix c. Is a 3 x 2 matrix d. Is a 2 x 2 matrix 6. Lets say we want to find D such that BC = D. Matrix D: a. b. c. d. Is undefined since we cannot multiply B and C. Is a 2 x 3 matrix Is a 3 x 2 matrix Is a 2 x 2 matrix 7. Let the vector u = the vector given in C row 1. |u| = a. b. 5 c. d. 4 8. Let the vector v = the vector given in C row 2. |v| = a. b. 5 c. d. 4 9. <u|v> = a. 17 b. 18 c. -18 d. -17 10. The cosine of the angle between u and v = a. b. c. d. -0.94 0.80 .99 -0.80 11. The angle between u and v = a. b. c. d. 160 36 8 143
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