Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Chapter 16.4, Problem 13E
To determine
To calculate: The multiplication of binary numbers
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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.
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Chapter 16 Solutions
Elementary Technical Mathematics
Ch. 16.1 - Change each binary number to decimal form: 11Ch. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - Prob. 4ECh. 16.1 - Prob. 5ECh. 16.1 - Prob. 6ECh. 16.1 - Prob. 7ECh. 16.1 - Prob. 8ECh. 16.1 - Prob. 9ECh. 16.1 - Prob. 10E
Ch. 16.1 - Prob. 11ECh. 16.1 - Prob. 12ECh. 16.1 - Prob. 13ECh. 16.1 - Prob. 14ECh. 16.1 - Prob. 15ECh. 16.1 - Prob. 16ECh. 16.1 - Change each binary number to decimal form:...Ch. 16.1 - Prob. 18ECh. 16.1 - Change each binary number to decimal form: 111111Ch. 16.1 - Prob. 20ECh. 16.2 - Prob. 1ECh. 16.2 - Prob. 2ECh. 16.2 - Prob. 3ECh. 16.2 - Prob. 4ECh. 16.2 - Prob. 5ECh. 16.2 - Prob. 6ECh. 16.2 - Prob. 7ECh. 16.2 - Prob. 8ECh. 16.2 - Prob. 9ECh. 16.2 - Prob. 10ECh. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Add the following binary numbers and check your...Ch. 16.2 - Prob. 17ECh. 16.2 - Prob. 18ECh. 16.2 - Prob. 19ECh. 16.2 - Prob. 20ECh. 16.2 - Prob. 21ECh. 16.2 - Prob. 22ECh. 16.2 - Prob. 23ECh. 16.2 - Add the following binary numbers and check your...Ch. 16.2 - Prob. 25ECh. 16.2 - Prob. 26ECh. 16.2 - Add the following binary numbers and check your...Ch. 16.2 - Prob. 28ECh. 16.2 - Prob. 29ECh. 16.2 - Prob. 30ECh. 16.3 - Prob. 1ECh. 16.3 - Prob. 2ECh. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Prob. 4ECh. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Prob. 7ECh. 16.3 - Prob. 8ECh. 16.3 - Prob. 9ECh. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Prob. 12ECh. 16.3 - Prob. 13ECh. 16.3 - Prob. 14ECh. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Prob. 16ECh. 16.3 - Prob. 17ECh. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Prob. 19ECh. 16.3 - Prob. 20ECh. 16.3 - Prob. 21ECh. 16.3 - Prob. 22ECh. 16.3 - Prob. 23ECh. 16.3 - Prob. 24ECh. 16.3 - Prob. 25ECh. 16.3 - Prob. 26ECh. 16.3 - Prob. 27ECh. 16.3 - Prob. 28ECh. 16.3 - Prob. 29ECh. 16.3 - Use the 1s complement method to subtract the...Ch. 16.3 - Prob. 31ECh. 16.3 - Prob. 32ECh. 16.3 - Prob. 33ECh. 16.3 - Prob. 34ECh. 16.3 - Prob. 35ECh. 16.3 - Prob. 36ECh. 16.4 - Prob. 1ECh. 16.4 - Prob. 2ECh. 16.4 - Multiply the following binary numbers: 11010_Ch. 16.4 - Prob. 4ECh. 16.4 - Prob. 5ECh. 16.4 - Prob. 6ECh. 16.4 - Prob. 7ECh. 16.4 - Prob. 8ECh. 16.4 - Prob. 9ECh. 16.4 - Prob. 10ECh. 16.4 - Prob. 11ECh. 16.4 - Prob. 12ECh. 16.4 - Prob. 13ECh. 16.4 - Multiply the following binary numbers: 101101101_Ch. 16.4 - Prob. 15ECh. 16.4 - Prob. 16ECh. 16.4 - Prob. 17ECh. 16.4 - Prob. 18ECh. 16.4 - Prob. 19ECh. 16.4 - Prob. 20ECh. 16.5 - Prob. 1ECh. 16.5 - Prob. 2ECh. 16.5 - Prob. 3ECh. 16.5 - Prob. 4ECh. 16.5 - Prob. 5ECh. 16.5 - Prob. 6ECh. 16.5 - Prob. 7ECh. 16.5 - Prob. 8ECh. 16.5 - Prob. 9ECh. 16.5 - Prob. 10ECh. 16.5 - Prob. 11ECh. 16.5 - Prob. 12ECh. 16.5 - Prob. 13ECh. 16.5 - Prob. 14ECh. 16.5 - Prob. 15ECh. 16.5 - Prob. 16ECh. 16.5 - Prob. 17ECh. 16.5 - Prob. 18ECh. 16.5 - Prob. 19ECh. 16.5 - Prob. 20ECh. 16.6 - Prob. 1ECh. 16.6 - Prob. 2ECh. 16.6 - Prob. 3ECh. 16.6 - Prob. 4ECh. 16.6 - Prob. 5ECh. 16.6 - Prob. 6ECh. 16.6 - Prob. 7ECh. 16.6 - Prob. 8ECh. 16.6 - Prob. 9ECh. 16.6 - Prob. 10ECh. 16.6 - Prob. 11ECh. 16.6 - Prob. 12ECh. 16.6 - Prob. 13ECh. 16.6 - Prob. 14ECh. 16.6 - Prob. 15ECh. 16.6 - Prob. 16ECh. 16.6 - Prob. 17ECh. 16.6 - Prob. 18ECh. 16.6 - Prob. 19ECh. 16.6 - Change each binary number to decimal form:...Ch. 16.7 - Prob. 1ECh. 16.7 - Prob. 2ECh. 16.7 - Prob. 3ECh. 16.7 - Prob. 4ECh. 16.7 - Prob. 5ECh. 16.7 - Prob. 6ECh. 16.7 - Prob. 7ECh. 16.7 - Prob. 8ECh. 16.7 - Prob. 9ECh. 16.7 - Prob. 10ECh. 16.7 - Prob. 11ECh. 16.7 - Prob. 12ECh. 16.7 - Prob. 13ECh. 16.7 - Change each hexadecimal number to decimal form:...Ch. 16.7 - Prob. 15ECh. 16.7 - Prob. 16ECh. 16.7 - Prob. 17ECh. 16.7 - Prob. 18ECh. 16.7 - Prob. 19ECh. 16.7 - Prob. 20ECh. 16.7 - Prob. 21ECh. 16.7 - Prob. 22ECh. 16.7 - Prob. 23ECh. 16.7 - Prob. 24ECh. 16.7 - Prob. 25ECh. 16.7 - Prob. 26ECh. 16.7 - Prob. 27ECh. 16.7 - Prob. 28ECh. 16.7 - Prob. 29ECh. 16.7 - Prob. 30ECh. 16.8 - Prob. 1ECh. 16.8 - Prob. 2ECh. 16.8 - Prob. 3ECh. 16.8 - Prob. 4ECh. 16.8 - Prob. 5ECh. 16.8 - Prob. 6ECh. 16.8 - Prob. 7ECh. 16.8 - Prob. 8ECh. 16.8 - Prob. 9ECh. 16.8 - Prob. 10ECh. 16.8 - Prob. 11ECh. 16.8 - Prob. 12ECh. 16.8 - Prob. 13ECh. 16.8 - Prob. 14ECh. 16.8 - Prob. 15ECh. 16.8 - Prob. 16ECh. 16.8 - Prob. 17ECh. 16.8 - Prob. 18ECh. 16.8 - Prob. 19ECh. 16.8 - Prob. 20ECh. 16.8 - Prob. 21ECh. 16.8 - Prob. 22ECh. 16.8 - Prob. 23ECh. 16.8 - Prob. 24ECh. 16.8 - Prob. 25ECh. 16.8 - Prob. 26ECh. 16.8 - Add the following hexadecimal numbers. Check using...Ch. 16.8 - Prob. 28ECh. 16.8 - Prob. 29ECh. 16.8 - Prob. 30ECh. 16.8 - Prob. 31ECh. 16.8 - Prob. 32ECh. 16.8 - Prob. 33ECh. 16.8 - Prob. 34ECh. 16.8 - Prob. 35ECh. 16.8 - Prob. 36ECh. 16.8 - Prob. 37ECh. 16.8 - Prob. 38ECh. 16.8 - Prob. 39ECh. 16.8 - Prob. 40ECh. 16.8 - Prob. 41ECh. 16.8 - Prob. 42ECh. 16.8 - Prob. 43ECh. 16.8 - Prob. 44ECh. 16.8 - Prob. 45ECh. 16.8 - Prob. 46ECh. 16.8 - Prob. 47ECh. 16.8 - Prob. 48ECh. 16.8 - Prob. 49ECh. 16.8 - Prob. 50ECh. 16.8 - Prob. 51ECh. 16.8 - Prob. 52ECh. 16.8 - Prob. 53ECh. 16.8 - Prob. 54ECh. 16.8 - Prob. 55ECh. 16.8 - Prob. 56ECh. 16.8 - Prob. 57ECh. 16.8 - Prob. 58ECh. 16.8 - Prob. 59ECh. 16.8 - Prob. 60ECh. 16.9 - Prob. 1ECh. 16.9 - Prob. 2ECh. 16.9 - Prob. 3ECh. 16.9 - Prob. 4ECh. 16.9 - Prob. 5ECh. 16.9 - Prob. 6ECh. 16.9 - Prob. 7ECh. 16.9 - Prob. 8ECh. 16.9 - Prob. 9ECh. 16.9 - Prob. 10ECh. 16.9 - Prob. 11ECh. 16.9 - Prob. 12ECh. 16.9 - Prob. 13ECh. 16.9 - Prob. 14ECh. 16.9 - Prob. 15ECh. 16.9 - Prob. 16ECh. 16.9 - Prob. 17ECh. 16.9 - Prob. 18ECh. 16.9 - Prob. 19ECh. 16.9 - Prob. 20ECh. 16.9 - Prob. 21ECh. 16.9 - Prob. 22ECh. 16.9 - Prob. 23ECh. 16.9 - Change each binary number to hexadecimal form:...Ch. 16.9 - Prob. 25ECh. 16.9 - Prob. 26ECh. 16.9 - Prob. 27ECh. 16.9 - Prob. 28ECh. 16.9 - Prob. 29ECh. 16.9 - Prob. 30ECh. 16.9 - Prob. 31ECh. 16.9 - Prob. 32ECh. 16.9 - Prob. 33ECh. 16.9 - Prob. 34ECh. 16.9 - Prob. 35ECh. 16.9 - Prob. 36ECh. 16.9 - Prob. 37ECh. 16.9 - Prob. 38ECh. 16.9 - Prob. 39ECh. 16.9 - Prob. 40ECh. 16.9 - Prob. 41ECh. 16.9 - Prob. 42ECh. 16.9 - Prob. 43ECh. 16.9 - Prob. 44ECh. 16 - Prob. 1RCh. 16 - Prob. 2RCh. 16 - Prob. 3RCh. 16 - Prob. 4RCh. 16 - Prob. 5RCh. 16 - Prob. 6RCh. 16 - Add the following binary numbers: 1001110101_Ch. 16 - Prob. 8RCh. 16 - Prob. 9RCh. 16 - Prob. 10RCh. 16 - Prob. 11RCh. 16 - Prob. 12RCh. 16 - Prob. 13RCh. 16 - Prob. 14RCh. 16 - Prob. 15RCh. 16 - Prob. 16RCh. 16 - Prob. 17RCh. 16 - Prob. 18RCh. 16 - Prob. 19RCh. 16 - Prob. 20RCh. 16 - Prob. 21RCh. 16 - Prob. 22RCh. 16 - Prob. 23RCh. 16 - Prob. 24RCh. 16 - Prob. 25RCh. 16 - Prob. 26RCh. 16 - Prob. 27RCh. 16 - Prob. 28RCh. 16 - Prob. 29RCh. 16 - Prob. 30RCh. 16 - Prob. 1TCh. 16 - Prob. 2TCh. 16 - Prob. 3TCh. 16 - Prob. 4TCh. 16 - Prob. 5TCh. 16 - Prob. 6TCh. 16 - Prob. 7TCh. 16 - Prob. 8TCh. 16 - Prob. 9TCh. 16 - Prob. 10TCh. 16 - Prob. 11TCh. 16 - Prob. 12TCh. 16 - Prob. 13TCh. 16 - Prob. 14TCh. 16 - Prob. 15TCh. 16 - Prob. 16TCh. 16 - Prob. 17TCh. 16 - Prob. 18TCh. 16 - Prob. 19TCh. 16 - Prob. 20TCh. 16 - Prob. 1CRCh. 16 - Prob. 2CRCh. 16 - Prob. 3CRCh. 16 - Prob. 4CRCh. 16 - Prob. 5CRCh. 16 - Prob. 6CRCh. 16 - Prob. 7CRCh. 16 - Prob. 8CRCh. 16 - Prob. 9CRCh. 16 - Prob. 10CRCh. 16 - Prob. 11CRCh. 16 - Prob. 12CRCh. 16 - Prob. 13CRCh. 16 - Prob. 14CRCh. 16 - Prob. 15CRCh. 16 - Prob. 16CRCh. 16 - Prob. 17CRCh. 16 - Prob. 18CRCh. 16 - Prob. 19CRCh. 16 - Prob. 20CRCh. 16 - Prob. 21CRCh. 16 - Prob. 22CRCh. 16 - Prob. 23CRCh. 16 - Prob. 24CRCh. 16 - Do as indicated for the following binary numbers:...Ch. 16 - Prob. 26CRCh. 16 - Prob. 27CRCh. 16 - Prob. 28CRCh. 16 - Prob. 29CRCh. 16 - Prob. 30CR
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