
EXCURSIONS IN MOD.MATH W/ACCESS >BI<
9th Edition
ISBN: 9781323788721
Author: Tannenbaum
Publisher: PEARSON C
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Chapter 13, Problem 21E
To determine
(a)
To calculate:
The value of
To determine
(b)
To calculate:
The value of
To determine
(c)
To find:
The expression for
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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 13 Solutions
EXCURSIONS IN MOD.MATH W/ACCESS >BI<
Ch. 13 - Compute the value of each of the following. a. F15...Ch. 13 - Compute the value of each of the following. a. F16...Ch. 13 - Prob. 3ECh. 13 - Compute the value of each of the following. a....Ch. 13 - Describe in words what each of the expressions...Ch. 13 - Prob. 6ECh. 13 - Given that F36=14,930,352 and F37=24,157,817, a....Ch. 13 - Prob. 8ECh. 13 - Given that F36=14,930,352 and F37=24,157,817,...Ch. 13 - Given that F32=2,178,309 and F33=3,524,578, a.find...
Ch. 13 - Prob. 11ECh. 13 - Using a good calculator an online calculator if...Ch. 13 - Consider the following sequence of equations...Ch. 13 - Consider the following sequence of equations...Ch. 13 - Fact: If we make a list of any four consecutive...Ch. 13 - Fact: If we make a list of any 10 consecutive...Ch. 13 - Express each of the following as a single...Ch. 13 - Prob. 18ECh. 13 - Prob. 19ECh. 13 - Prob. 20ECh. 13 - Prob. 21ECh. 13 - Prob. 22ECh. 13 - Prob. 23ECh. 13 - Prob. 24ECh. 13 - Consider the quadratic equation x2=x+1. a. Use the...Ch. 13 - Prob. 26ECh. 13 - Consider the quadratic equation 3x2=8x+5. a. Use...Ch. 13 - Prob. 28ECh. 13 - Prob. 29ECh. 13 - Prob. 30ECh. 13 - Consider the quadratic equation 21x2=34x+55. a....Ch. 13 - Prob. 32ECh. 13 - Prob. 33ECh. 13 - Consider the quadratic equation (FN2)x2=(FN1)x+FN,...Ch. 13 - The reciprocal of =1+52 is the rational number...Ch. 13 - The square of the golden ratio is the irrational...Ch. 13 - Given that F4998.61710103, a. find an approximate...Ch. 13 - Prob. 38ECh. 13 - Prob. 39ECh. 13 - Prob. 40ECh. 13 - Prob. 41ECh. 13 - Prob. 42ECh. 13 - Triangles T and T shown in Fig. 13-23 are similar...Ch. 13 - Polygons P and P shown in Fig. 13-24 are similar...Ch. 13 - Find the value of x so that the shaded rectangle...Ch. 13 - Find the value of x so that the shaded figure in...Ch. 13 - Prob. 47ECh. 13 - Prob. 48ECh. 13 - Prob. 49ECh. 13 - Prob. 50ECh. 13 - In Fig. 13-31 triangles BCA is a 36-36-108...Ch. 13 - Prob. 52ECh. 13 - Find the value of x of y so that in Fig. 13-33 the...Ch. 13 - Prob. 54ECh. 13 - Prob. 55ECh. 13 - Consider the sequence of ratios FN2FN. a. Using a...Ch. 13 - Prob. 57ECh. 13 - Prob. 58ECh. 13 - Prob. 59ECh. 13 - a.Explain what happens to the values of (152)N as...Ch. 13 - Prob. 61ECh. 13 - Prob. 62ECh. 13 - Prob. 63ECh. 13 - Prob. 64ECh. 13 - Prob. 65ECh. 13 - Find the value of x of y so that in Fig. 13-37 the...Ch. 13 - Prob. 67ECh. 13 - In Fig. 13-39 triangle BCD is a 727236 triangle...Ch. 13 - Prob. 69ECh. 13 - Prob. 70ECh. 13 - Prob. 71ECh. 13 - Prob. 72ECh. 13 - Prob. 73ECh. 13 - Prob. 74ECh. 13 - Prob. 75ECh. 13 - Prob. 76ECh. 13 - During the time of the Greeks the star pentagram...
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