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Unformatted text preview: ITI 111
Homework 7 Matrix Multiplication, Vectors
A =  B=  C=  1. Let’s 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. Let’s say we want to find D such that AC = D. Matrix D:
a. Is undefined since we cannot multiply A and C. b. Is a 2 x 3 matrix
c. Is a 3 x 2 matrix
d. Is a 2 x 2 matrix
6. Let’s 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. <uv> = 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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This note was uploaded on 02/20/2012 for the course 790 373 taught by Professor Boros during the Fall '09 term at Rutgers.
 Fall '09
 Boros

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