COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 11, Problem 48QAP
To determine
Absolute and gauge pressure experience by diver
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Name
Assume there is the following simplified grade book:
Homework Labs | Final Exam | Project
Avery
95
98
90
100
Blake
90
96
Carlos
83
79
Dax
55
30
228
92
95
79
90
65
60
Assume that the weights used to compute the final grades are homework 0.3, labs 0.2,
the final 0.35, and the project 0.15.
| Write an explicit formula to compute Avery's final grade using a single
inner product.
Write an explicit formula to compute everyone's final grade simultane-
ously using a single matrix-vector product.
1. Explicitly compute by hand (with work shown) the following Frobenius inner
products
00
4.56 3.12
(a) ((º º º). (156
(b)
10.9
-1
0
2)),
Fro
5')) Fro
3.
Let
4 0
0
00 0
0
1.2
0
00 0
0
0
-10.1 0 0
0
D =
0
0
0
00 0
0
0
0
05 0
0
0
0
0 0 2.8
Either explicitly compute D-¹ or explain why it doesn't exist.
Chapter 11 Solutions
COLLEGE PHYSICS
Ch. 11 - Prob. 1QAPCh. 11 - Prob. 2QAPCh. 11 - Prob. 3QAPCh. 11 - Prob. 4QAPCh. 11 - Prob. 5QAPCh. 11 - Prob. 6QAPCh. 11 - Prob. 7QAPCh. 11 - Prob. 8QAPCh. 11 - Prob. 9QAPCh. 11 - Prob. 10QAP
Ch. 11 - Prob. 11QAPCh. 11 - Prob. 12QAPCh. 11 - Prob. 13QAPCh. 11 - Prob. 14QAPCh. 11 - Prob. 15QAPCh. 11 - Prob. 16QAPCh. 11 - Prob. 17QAPCh. 11 - Prob. 18QAPCh. 11 - Prob. 19QAPCh. 11 - Prob. 20QAPCh. 11 - Prob. 21QAPCh. 11 - Prob. 22QAPCh. 11 - Prob. 23QAPCh. 11 - Prob. 24QAPCh. 11 - Prob. 25QAPCh. 11 - Prob. 26QAPCh. 11 - Prob. 27QAPCh. 11 - Prob. 28QAPCh. 11 - Prob. 29QAPCh. 11 - Prob. 30QAPCh. 11 - Prob. 31QAPCh. 11 - Prob. 32QAPCh. 11 - Prob. 33QAPCh. 11 - Prob. 34QAPCh. 11 - Prob. 35QAPCh. 11 - Prob. 36QAPCh. 11 - Prob. 37QAPCh. 11 - Prob. 38QAPCh. 11 - Prob. 39QAPCh. 11 - Prob. 40QAPCh. 11 - Prob. 41QAPCh. 11 - Prob. 42QAPCh. 11 - Prob. 43QAPCh. 11 - Prob. 44QAPCh. 11 - Prob. 45QAPCh. 11 - Prob. 46QAPCh. 11 - Prob. 47QAPCh. 11 - Prob. 48QAPCh. 11 - Prob. 49QAPCh. 11 - Prob. 50QAPCh. 11 - Prob. 51QAPCh. 11 - Prob. 52QAPCh. 11 - Prob. 53QAPCh. 11 - Prob. 54QAPCh. 11 - Prob. 55QAPCh. 11 - Prob. 56QAPCh. 11 - Prob. 57QAPCh. 11 - Prob. 58QAPCh. 11 - Prob. 59QAPCh. 11 - Prob. 60QAPCh. 11 - Prob. 61QAPCh. 11 - Prob. 62QAPCh. 11 - Prob. 63QAPCh. 11 - Prob. 64QAPCh. 11 - Prob. 65QAPCh. 11 - Prob. 66QAPCh. 11 - Prob. 67QAPCh. 11 - Prob. 68QAPCh. 11 - Prob. 69QAPCh. 11 - Prob. 70QAPCh. 11 - Prob. 71QAPCh. 11 - Prob. 72QAPCh. 11 - Prob. 73QAPCh. 11 - Prob. 74QAPCh. 11 - Prob. 75QAPCh. 11 - Prob. 76QAPCh. 11 - Prob. 77QAPCh. 11 - Prob. 78QAPCh. 11 - Prob. 79QAPCh. 11 - Prob. 80QAPCh. 11 - Prob. 81QAPCh. 11 - Prob. 82QAPCh. 11 - Prob. 83QAPCh. 11 - Prob. 84QAPCh. 11 - Prob. 85QAPCh. 11 - Prob. 86QAPCh. 11 - Prob. 87QAPCh. 11 - Prob. 88QAPCh. 11 - Prob. 89QAPCh. 11 - Prob. 90QAPCh. 11 - Prob. 91QAPCh. 11 - Prob. 92QAPCh. 11 - Prob. 93QAPCh. 11 - Prob. 94QAP
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- 4. [9 points] Assume that B, C, E are all 3 x 3 matrices such that BC == -64 -1 0 3 4 4 4 -2 2 CB=-1-2 4 BE -2 1 3 EC = 1 3 2 -7, 1 6 -6 2-5 -7 -2 Explicitly compute the following by hand. (I.e., write out the entries of the 3 × 3 matrix.) (a) [3 points] B(E+C) (b) [3 points] (E+B)C (c) [3 points] ETBTarrow_forward6. Consider the matrices G = 0 (3) -3\ -3 2 and H = -1 2 0 5 0 5 5 noting that H(:, 3) = 2H(:,1) + H(:, 2). Is G invertible? Explain your answer. Is H invertible? Explain your answer. Use co-factor expansion to find the determinant of H. (Hint: expand the 2nd or 3rd row)arrow_forwardFor the matrix A = = ( 6 }) . explicitly compute by hand (with work shown) the following. I2A, where I2 is the 2 × 2 identity matrix. A-1 solving the following linear systems by using A-¹: c+y= 1 y = 1 (d) (e) (f) A² find the diagonal entries of Aarrow_forward
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