Prealgebra & Introductory Algebra Plus NEW MyLab Math with Pearson eText -- Access Card Package (4th Edition)
4th Edition
ISBN: 9780321983503
Author: Elayn Martin-Gay
Publisher: PEARSON
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Question
Chapter 15.4, Problem 6P
To determine
(a)
To Multiply:
To determine
(b)
To Multiply:
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1
of 2
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ZOOM +
1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix
A.
= [{² 1]
A =
b) Verify that PT AP gives the correct diagonal form.
2
01
-2
3
2) Given the following matrices A =
-1
0
1] an
and B =
0
1
-3
2
find the following matrices:
a) (AB) b) (BA)T
3) Find the inverse of the following matrix A using Gauss-Jordan elimination or
adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I).
[1 1 1
A = 3 5 4
L3 6 5
4) Solve the following system of linear equations using any one of Cramer's Rule,
Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
check the correctness of your answer.
4x-y-z=1
2x + 2y + 3z = 10
5x-2y-2z = -1
5) a) Describe the zero vector and the additive inverse of a vector in the vector
space, M3,3.
b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
13) Let U = {j, k, l, m, n, o, p} be the universal set. Let V = {m, o,p), W = {l,o, k}, and X = {j,k). List the elements of
the following sets and the cardinal number of each set.
a) W° and n(W)
b) (VUW) and n((V U W)')
c) VUWUX and n(V U W UX)
d) vnWnX and n(V WnX)
9) Use the Venn Diagram given below to determine the number elements in each of the following sets.
a) n(A).
b) n(A° UBC).
U
B
oh
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Chapter 15 Solutions
Prealgebra & Introductory Algebra Plus NEW MyLab Math with Pearson eText -- Access Card Package (4th Edition)
Ch. 15.1 - Prob. 1CCCh. 15.1 - Prob. 1PCh. 15.1 - Prob. 2PCh. 15.1 - Prob. 3PCh. 15.1 - Prob. 4PCh. 15.1 - Prob. 5PCh. 15.1 - Prob. 6PCh. 15.1 - Prob. 7PCh. 15.1 - Prob. 8PCh. 15.1 - Prob. 9P
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Prob. 25ECh. 15.4 - Prob. 26ECh. 15.4 - Prob. 27ECh. 15.4 - Prob. 28ECh. 15.4 - Prob. 29ECh. 15.4 - Prob. 30ECh. 15.4 - Prob. 31ECh. 15.4 - Prob. 32ECh. 15.4 - Prob. 33ECh. 15.4 - Prob. 34ECh. 15.4 - Prob. 35ECh. 15.4 - Prob. 36ECh. 15.4 - Prob. 37ECh. 15.4 - Prob. 38ECh. 15.4 - Prob. 39ECh. 15.4 - Prob. 40ECh. 15.4 - Prob. 41ECh. 15.4 - Prob. 42ECh. 15.4 - Prob. 43ECh. 15.4 - Prob. 44ECh. 15.4 - Prob. 45ECh. 15.4 - Prob. 46ECh. 15.4 - Prob. 47ECh. 15.4 - Prob. 48ECh. 15.4 - Prob. 49ECh. 15.4 - Prob. 50ECh. 15.4 - Prob. 51ECh. 15.4 - Prob. 52ECh. 15.4 - Prob. 53ECh. 15.4 - Prob. 54ECh. 15.4 - Prob. 55ECh. 15.4 - Prob. 56ECh. 15.4 - Prob. 57ECh. 15.4 - Prob. 58ECh. 15.4 - Prob. 59ECh. 15.4 - Prob. 60ECh. 15.4 - Prob. 61ECh. 15.4 - Prob. 62ECh. 15.4 - Prob. 63ECh. 15.4 - Prob. 64ECh. 15.4 - Prob. 65ECh. 15.4 - Prob. 66ECh. 15.4 - Prob. 67ECh. 15.4 - Prob. 68ECh. 15.4 - Prob. 69ECh. 15.4 - Prob. 70ECh. 15.4 - Prob. 71ECh. 15.4 - Prob. 72ECh. 15.4 - Prob. 73ECh. 15.4 - Prob. 74ECh. 15.4 - 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Prob. 18IRCh. 15.IR - Prob. 19IRCh. 15.IR - Prob. 20IRCh. 15.IR - Prob. 21IRCh. 15.IR - Prob. 22IRCh. 15.IR - Prob. 23IRCh. 15.IR - Prob. 24IRCh. 15.IR - Prob. 25IRCh. 15.IR - Prob. 26IRCh. 15.IR - Prob. 27IRCh. 15.IR - Prob. 28IRCh. 15.IR - Prob. 29IRCh. 15.IR - Prob. 30IRCh. 15.IR - Prob. 31IRCh. 15.IR - Prob. 32IRCh. 15.IR - Prob. 33IRCh. 15.IR - Prob. 34IRCh. 15.IR - Prob. 35IRCh. 15.IR - Prob. 36IRCh. 15.IR - Prob. 37IRCh. 15.IR - Prob. 38IRCh. 15.IR - Prob. 39IRCh. 15.IR - Prob. 40IRCh. 15.IR - Prob. 41IRCh. 15.IR - Prob. 42IRCh. 15.5 - Prob. 1PCh. 15.5 - Prob. 2PCh. 15.5 - Prob. 3PCh. 15.5 - Prob. 4PCh. 15.5 - Prob. 5PCh. 15.5 - Prob. 6PCh. 15.5 - Prob. 1ECh. 15.5 - Prob. 2ECh. 15.5 - Prob. 3ECh. 15.5 - Prob. 4ECh. 15.5 - Prob. 5ECh. 15.5 - Prob. 6ECh. 15.5 - Prob. 7ECh. 15.5 - Prob. 8ECh. 15.5 - Prob. 9ECh. 15.5 - Prob. 10ECh. 15.5 - Prob. 11ECh. 15.5 - Prob. 12ECh. 15.5 - Prob. 13ECh. 15.5 - Prob. 14ECh. 15.5 - Prob. 15ECh. 15.5 - Prob. 16ECh. 15.5 - Prob. 17ECh. 15.5 - Prob. 18ECh. 15.5 - 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Prob. 1PCh. 15.6 - Prob. 2PCh. 15.6 - Prob. 3PCh. 15.6 - Prob. 4PCh. 15.6 - Prob. 1ECh. 15.6 - Prob. 2ECh. 15.6 - Prob. 3ECh. 15.6 - Prob. 4ECh. 15.6 - Prob. 5ECh. 15.6 - Prob. 6ECh. 15.6 - Prob. 7ECh. 15.6 - Prob. 8ECh. 15.6 - Prob. 9ECh. 15.6 - Prob. 10ECh. 15.6 - Prob. 11ECh. 15.6 - Prob. 12ECh. 15.6 - Prob. 13ECh. 15.6 - Prob. 14ECh. 15.6 - Prob. 15ECh. 15.6 - Prob. 16ECh. 15.6 - Prob. 17ECh. 15.6 - Prob. 18ECh. 15.6 - Prob. 19ECh. 15.6 - Prob. 20ECh. 15.6 - Prob. 21ECh. 15.6 - Prob. 22ECh. 15.6 - Prob. 23ECh. 15.6 - Prob. 24ECh. 15.6 - Prob. 25ECh. 15.6 - Prob. 26ECh. 15.6 - Prob. 27ECh. 15.6 - Prob. 28ECh. 15.6 - Prob. 29ECh. 15.6 - Prob. 30ECh. 15.6 - Prob. 31ECh. 15.6 - Prob. 32ECh. 15.6 - Prob. 33ECh. 15.6 - Prob. 34ECh. 15.6 - Prob. 35ECh. 15.6 - Prob. 36ECh. 15.6 - Prob. 37ECh. 15.6 - Prob. 38ECh. 15.6 - Prob. 39ECh. 15.6 - Prob. 40ECh. 15.6 - Prob. 41ECh. 15.GA - Prob. 1GACh. 15.VC - Prob. 1VCCh. 15.VC - Prob. 2VCCh. 15.VC - Prob. 3VCCh. 15.VC - Prob. 4VCCh. 15.VC - Prob. 5VCCh. 15.VC - Prob. 6VCCh. 15.CR - Prob. 1CRCh. 15.CR - Prob. 2CRCh. 15.CR - Prob. 3CRCh. 15.CR - Prob. 4CRCh. 15.CR - Prob. 5CRCh. 15.CR - Prob. 6CRCh. 15.CR - Prob. 7CRCh. 15.CR - Prob. 8CRCh. 15.CR - Prob. 9CRCh. 15.CR - Prob. 10CRCh. 15.CR - Prob. 11CRCh. 15.CR - Prob. 12CRCh. 15.CR - Prob. 13CRCh. 15.CR - Prob. 14CRCh. 15.CR - Prob. 15CRCh. 15.CR - Prob. 16CRCh. 15.CR - Prob. 17CRCh. 15.CR - Prob. 18CRCh. 15.CR - Prob. 19CRCh. 15.CR - Prob. 20CRCh. 15.CR - Prob. 21CRCh. 15.CR - Prob. 22CRCh. 15.CR - Prob. 23CRCh. 15.CR - Prob. 24CRCh. 15.CR - Prob. 25CRCh. 15.CR - Prob. 26CRCh. 15.CR - Prob. 27CRCh. 15.CR - Prob. 28CRCh. 15.CR - Prob. 29CRCh. 15.CR - Prob. 30CRCh. 15.CR - Prob. 31CRCh. 15.CR - Prob. 32CRCh. 15.CR - Prob. 33CRCh. 15.CR - Prob. 34CRCh. 15.CR - Prob. 35CRCh. 15.CR - Prob. 36CRCh. 15.CR - Prob. 37CRCh. 15.CR - Prob. 38CRCh. 15.CR - Prob. 39CRCh. 15.CR - Prob. 40CRCh. 15.CR - Prob. 41CRCh. 15.CR - Prob. 42CRCh. 15.CR - Prob. 43CRCh. 15.CR - Prob. 44CRCh. 15.CR - Prob. 45CRCh. 15.CR - Prob. 46CRCh. 15.CR - Prob. 47CRCh. 15.CR - Prob. 48CRCh. 15.CR - Prob. 49CRCh. 15.CR - Prob. 50CRCh. 15.CR - Prob. 51CRCh. 15.CR - Prob. 52CRCh. 15.CR - Prob. 53CRCh. 15.CR - Prob. 54CRCh. 15.CR - Prob. 55CRCh. 15.CR - Prob. 56CRCh. 15.CR - Prob. 57CRCh. 15.CR - Prob. 58CRCh. 15.CR - Prob. 59CRCh. 15.CR - Prob. 60CRCh. 15.CR - Prob. 61CRCh. 15.CR - Prob. 62CRCh. 15.CR - Prob. 63CRCh. 15.CR - Prob. 64CRCh. 15.CR - Prob. 65CRCh. 15.CR - Prob. 66CRCh. 15.CR - Prob. 67CRCh. 15.CR - Prob. 68CRCh. 15.CR - Prob. 69CRCh. 15.CR - Prob. 70CRCh. 15.CR - Prob. 71CRCh. 15.CR - Prob. 72CRCh. 15.CR - Prob. 73CRCh. 15.CR - Prob. 74CRCh. 15.CR - Prob. 75CRCh. 15.CR - Prob. 76CRCh. 15.CR - Prob. 77CRCh. 15.CR - Prob. 78CRCh. 15.CR - Prob. 79CRCh. 15.CR - Prob. 80CRCh. 15.CR - Prob. 81CRCh. 15.CR - Prob. 82CRCh. 15.CR - Prob. 83CRCh. 15.CR - Prob. 84CRCh. 15.CR - Prob. 85CRCh. 15.CR - Prob. 86CRCh. 15.CR - Prob. 87CRCh. 15.CR - Prob. 88CRCh. 15.CR - Prob. 89CRCh. 15.CR - Prob. 90CRCh. 15.CR - Prob. 91CRCh. 15.CR - Prob. 92CRCh. 15.CR - Prob. 93CRCh. 15.CR - Prob. 94CRCh. 15.CR - Prob. 95CRCh. 15.CR - Prob. 96CRCh. 15.CR - Prob. 97CRCh. 15.CR - Prob. 98CRCh. 15.CR - Prob. 99CRCh. 15.CR - Prob. 100CRCh. 15.CR - Prob. 101CRCh. 15.CR - Prob. 102CRCh. 15.CR - Prob. 103CRCh. 15.CR - Prob. 104CRCh. 15.CR - Prob. 105CRCh. 15.CR - Prob. 106CRCh. 15.CR - Prob. 107CRCh. 15.CR - Prob. 108CRCh. 15.CR - Prob. 109CRCh. 15.CR - Prob. 110CRCh. 15.CR - Prob. 111CRCh. 15.CR - Prob. 112CRCh. 15.CT - Prob. 1CTCh. 15.CT - Prob. 2CTCh. 15.CT - Prob. 3CTCh. 15.CT - Prob. 4CTCh. 15.CT - Prob. 5CTCh. 15.CT - Prob. 6CTCh. 15.CT - Prob. 7CTCh. 15.CT - Prob. 8CTCh. 15.CT - Prob. 9CTCh. 15.CT - Prob. 10CTCh. 15.CT - Prob. 11CTCh. 15.CT - Prob. 12CTCh. 15.CT - Prob. 13CTCh. 15.CT - Prob. 14CTCh. 15.CT - Prob. 15CTCh. 15.CT - Prob. 16CTCh. 15.CT - Prob. 17CTCh. 15.CT - Prob. 18CTCh. 15.CT - Prob. 19CTCh. 15.CT - Prob. 20CTCh. 15.CT - Prob. 21CTCh. 15.CT - Prob. 22CTCh. 15.CT - Prob. 23CTCh. 15.CT - Prob. 24CTCh. 15.CT - Prob. 25CTCh. 15.CT - Prob. 26CTCh. 15.CT - Prob. 27CTCh. 15.CT - Prob. 28CTCh. 15.CT - Prob. 29CTCh. 15.CT - Prob. 30CTCh. 15.CT - Prob. 31CTCh. 15.CM - Prob. 1CMCh. 15.CM - Prob. 2CMCh. 15.CM - Prob. 3CMCh. 15.CM - Prob. 4CMCh. 15.CM - Prob. 5CMCh. 15.CM - Prob. 6CMCh. 15.CM - Prob. 7CMCh. 15.CM - Prob. 8CMCh. 15.CM - Prob. 9CMCh. 15.CM - Prob. 10CMCh. 15.CM - Prob. 11CMCh. 15.CM - Prob. 12CMCh. 15.CM - Prob. 13CMCh. 15.CM - Prob. 14CMCh. 15.CM - Prob. 15CMCh. 15.CM - Prob. 16CMCh. 15.CM - Prob. 17CMCh. 15.CM - Prob. 18CMCh. 15.CM - Prob. 19CMCh. 15.CM - Prob. 20CMCh. 15.CM - Prob. 21CMCh. 15.CM - Prob. 22CMCh. 15.CM - Prob. 23CMCh. 15.CM - Prob. 24CMCh. 15.CM - Prob. 25CMCh. 15.CM - Prob. 26CMCh. 15.CM - Prob. 27CMCh. 15.CM - Prob. 28CMCh. 15.CM - Prob. 29CMCh. 15.CM - Prob. 30CMCh. 15.CM - Prob. 31CMCh. 15.CM - Prob. 32CMCh. 15.CM - Prob. 33CMCh. 15.CM - Prob. 34CMCh. 15.CM - Prob. 35CMCh. 15.CM - Prob. 36CMCh. 15.CM - Prob. 37CMCh. 15.CM - Prob. 38CMCh. 15.CM - Prob. 39CMCh. 15.CM - Prob. 40CMCh. 15.CM - Prob. 41CMCh. 15.CM - Prob. 42CMCh. 15.CM - Prob. 43CMCh. 15.CM - Prob. 44CMCh. 15.CM - Prob. 45CMCh. 15.CM - Prob. 46CM
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