Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Textbook Question
Chapter 13.4, Problem 20E
Using Illustration 1, solve each right triangle:
ILLUSTRATION 1
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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 13 Solutions
Elementary Technical Mathematics
Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Prob. 5ECh. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Prob. 7ECh. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Prob. 9ECh. 13.1 - Refer to right triangle ABC in Illustration 1 for...
Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 13ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 15ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 17ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 20ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 23ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Prob. 27ECh. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Prob. 29ECh. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Prob. 31ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 33ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 37ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 41ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 43ECh. 13.1 - Prob. 44ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 46ECh. 13.1 - Prob. 47ECh. 13.1 - Prob. 48ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 51ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 53ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 55ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 57ECh. 13.1 - Prob. 58ECh. 13.1 - Prob. 59ECh. 13.1 - Prob. 60ECh. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Find each angle rounded to the nearest hundredth...Ch. 13.1 - Prob. 64ECh. 13.1 - Find each angle rounded to the nearest hundredth...Ch. 13.1 - Prob. 66ECh. 13.1 - Find each angle rounded to the nearest hundredth...Ch. 13.1 - Prob. 68ECh. 13.1 - Prob. 69ECh. 13.1 - Prob. 70ECh. 13.1 - Prob. 71ECh. 13.1 - Prob. 72ECh. 13.1 - Prob. 73ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 5ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 7ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 9ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 17ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 19ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Prob. 24ECh. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13.3 - Prob. 24ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 3ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 9ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 11ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 13ECh. 13.4 - Prob. 14ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.5 - A conveyor is used to lift paper to a shredder....Ch. 13.5 - A bullet is found embedded in the wall of a room...Ch. 13.5 - The recommended safety angle of a ladder against a...Ch. 13.5 - A piece of conduit 38.0 ft long is placed across...Ch. 13.5 - Find the width of the river in Illustration 4....Ch. 13.5 - Prob. 7ECh. 13.5 - A smokestack is 180 ft high. A guy wire must be...Ch. 13.5 - A railroad track has an angle of elevation of 1.0....Ch. 13.5 - Prob. 10ECh. 13.5 - Enrico has to draft a triangular roof to a house....Ch. 13.5 - A small plane takes off from an airport and begins...Ch. 13.5 - A gauge is used to check the diameter of a crank-...Ch. 13.5 - Round metal duct runs alongside some stairs from...Ch. 13.5 - The cables attached to a TV relay tower are 110 m...Ch. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 18ECh. 13.5 - Use the right triangle in Illustration 13: a. Find...Ch. 13.5 - Prob. 20ECh. 13.5 - Twelve equally spaced holes must be drilled on a...Ch. 13.5 - Dimension x in the dovetail shown in Illustration...Ch. 13.5 - Find angle of the taper in Illustration 17....Ch. 13.5 - You need to use a metal screw with a head angle of...Ch. 13.5 - Prob. 25ECh. 13.5 - Prob. 26ECh. 13.5 - Find length x and angle A in Illustration 21....Ch. 13.5 - From the base of a building, measure out a...Ch. 13.5 - A mechanical draftsperson needs to find the...Ch. 13.5 - Prob. 30ECh. 13.5 - Prob. 31ECh. 13.5 - Prob. 32ECh. 13.5 - Solar heating and electric panels should face the...Ch. 13.5 - A lean-to is a simple shelter with three walls, a...Ch. 13 - For Exercises 1-7, see Illustration 1....Ch. 13 - For Exercises 1-7, see Illustration 1....Ch. 13 - Prob. 3RCh. 13 - For Exercises 1-7, see Illustration 1....Ch. 13 - Prob. 5RCh. 13 - Prob. 6RCh. 13 - Prob. 7RCh. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find angle A in Illustration 2. ILLUSTRATION 2Ch. 13 - Find angle B in Illustration 2. ILLUSTRATION 2Ch. 13 - Find side b in Illustration3. ILLUSTRATION 3Ch. 13 - Prob. 17RCh. 13 - Prob. 18RCh. 13 - Solve each right triangle:Ch. 13 - Prob. 20RCh. 13 - A satellite is directly overhead one observer...Ch. 13 - A ranger at the top of a fire tower observes the...Ch. 13 - Find the angle of slope of the symmetrical roof in...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find angle B Illustration 1. ILLUSTRATION 1Ch. 13 - Find side a Illustration 1. ILLUSTRATION 1Ch. 13 - Find side c Illustration 1. ILLUSTRATION 1Ch. 13 - Find angle A Illustration 2. ILLUSTRATION 2Ch. 13 - Find angle B Illustration 2. ILLUSTRATION 2Ch. 13 - Find side b Illustration 2. ILLUSTRATION 2Ch. 13 - A tower 50.0 ft high has a guy wire that is...Ch. 13 - Find length x in the retaining wall in...Ch. 13 - Find angle A in the retaining wall in Illustration...
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