Bundle: Single Variable Calculus, 8th + WebAssign Printed Access Card for Stewart's Calculus, 8th Edition, Multi-Term
8th Edition
ISBN: 9781305607828
Author: James Stewart
Publisher: Cengage Learning
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Chapter D, Problem 83E
To determine
To prove: The Law of Cosines.
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solve these please
A factorization A = PDP 1 is not unique. For A=
7 2
-4 1
1
1
5 0
2
1
one factorization is P =
D=
and P-1
30
=
Use this information with D₁
=
to find a matrix P₁ such that
-
-1 -2
0 3
1
-
- 1
05
A-P,D,P
P1
(Type an integer or simplified fraction for each matrix element.)
Matrix A is factored in the form PDP 1. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace.
30 -1
-
1 0 -1
400
0
0 1
A=
3 4 3
0 1 3
040
3 1 3
0 0
4
1
0
0
003
-1 0 -1
Select the correct choice below and fill in the answer boxes to complete your choice.
(Use a comma to separate vectors as needed.)
A basis for the corresponding eigenspace is {
A. There is one distinct eigenvalue, λ =
B. In ascending order, the two distinct eigenvalues are λ₁
...
=
and 2
=
Bases for the corresponding eigenspaces are {
and ( ), respectively.
C. In ascending order, the three distinct eigenvalues are λ₁ =
=
12/2
=
and 3 = Bases for the corresponding eigenspaces are
{}, }, and {
respectively.
Chapter D Solutions
Bundle: Single Variable Calculus, 8th + WebAssign Printed Access Card for Stewart's Calculus, 8th Edition, Multi-Term
Ch. D - Prob. 1ECh. D - Prob. 2ECh. D - Prob. 3ECh. D - Prob. 4ECh. D - Prob. 5ECh. D - Prob. 6ECh. D - Prob. 7ECh. D - Prob. 8ECh. D - Prob. 9ECh. D - Prob. 10E
Ch. D - Prob. 11ECh. D - Prob. 12ECh. D - Prob. 13ECh. D - Prob. 14ECh. D - Prob. 15ECh. D - Prob. 16ECh. D - Draw, in standard position, the angle whose...Ch. D - Prob. 18ECh. D - Prob. 19ECh. D - Prob. 20ECh. D - Prob. 21ECh. D - Prob. 22ECh. D - Prob. 23ECh. D - Prob. 24ECh. D - Prob. 25ECh. D - Prob. 26ECh. D - Prob. 27ECh. D - Prob. 28ECh. D - Prob. 29ECh. D - Prob. 30ECh. D - Prob. 31ECh. D - Prob. 32ECh. D - Prob. 33ECh. D - Prob. 34ECh. D - Prob. 35ECh. D - Prob. 36ECh. D - Find, correct to five decimal places, the length...Ch. D - Prob. 38ECh. D - Prove each equation. 39. (a) Equation 10a (b)...Ch. D - Prob. 40ECh. D - Prob. 41ECh. D - Prob. 42ECh. D - Prob. 43ECh. D - Prob. 44ECh. D - Prob. 45ECh. D - Prob. 46ECh. D - Prob. 47ECh. D - Prob. 48ECh. D - Prob. 49ECh. D - Prob. 50ECh. D - Prob. 51ECh. D - Prob. 52ECh. D - Prob. 53ECh. D - Prob. 54ECh. D - Prove the identity. 55. sin1cos=csc+cotCh. D - Prob. 56ECh. D - Prob. 57ECh. D - Prob. 58ECh. D - Prob. 59ECh. D - Prob. 60ECh. D - Prob. 61ECh. D - Prob. 62ECh. D - Prob. 63ECh. D - Prob. 64ECh. D - Prob. 65ECh. D - Prob. 66ECh. D - Prob. 67ECh. D - Prob. 68ECh. D - Prob. 69ECh. D - Prob. 70ECh. D - Prob. 71ECh. D - Prob. 72ECh. D - Prob. 73ECh. D - Prob. 74ECh. D - Prob. 75ECh. D - Prob. 76ECh. D - Prob. 77ECh. D - Prob. 78ECh. D - Prob. 79ECh. D - Prob. 80ECh. D - Prob. 81ECh. D - Prob. 82ECh. D - Prob. 83ECh. D - In order to find the distance |AB| across a small...Ch. D - Prob. 85ECh. D - Prob. 86ECh. D - Prob. 87ECh. D - Prob. 88ECh. D - Prob. 89E
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