MML F/COLLEGE MAT F/TRADES - ACCESS CODE
10th Edition
ISBN: 9781323845967
Author: Hobbs
Publisher: PEARSON
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Chapter 15.6, Problem 13E
To determine
To graph: The inequality
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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
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Chapter 15 Solutions
MML F/COLLEGE MAT F/TRADES - ACCESS CODE
Ch. 15.1 - Write 3x − 7 + 4x2 in descending order of x.
Ch. 15.1 - Prob. 1ECh. 15.1 - Prob. 2ECh. 15.1 - Prob. 3ECh. 15.1 - Prob. 4ECh. 15.1 - Prob. 5ECh. 15.1 - Prob. 6ECh. 15.1 - Prob. 7ECh. 15.1 - Prob. 8ECh. 15.1 - Prob. 9E
Ch. 15.1 - Prob. 10ECh. 15.1 - Prob. 11ECh. 15.1 - Prob. 12ECh. 15.1 - Prob. 13ECh. 15.1 - Prob. 14ECh. 15.1 - Prob. 15ECh. 15.1 - Prob. 16ECh. 15.1 - Write each equation in standard form and identify...Ch. 15.1 - Prob. 18ECh. 15.1 - Prob. 19ECh. 15.1 - Prob. 20ECh. 15.1 - Prob. 21ECh. 15.1 - Prob. 22ECh. 15.1 - Prob. 23ECh. 15.1 - Prob. 24ECh. 15.1 - Prob. 25ECh. 15.1 - Prob. 26ECh. 15.1 - Prob. 27ECh. 15.1 - Prob. 28ECh. 15.1 - Prob. 29ECh. 15.1 - Prob. 30ECh. 15.1 - Prob. 31ECh. 15.1 - Prob. 32ECh. 15.1 - Prob. 33ECh. 15.1 - Prob. 34ECh. 15.1 - Prob. 35ECh. 15.1 - Prob. 36ECh. 15.1 - Prob. 37ECh. 15.1 - Prob. 38ECh. 15.1 - Prob. 39ECh. 15.1 - Prob. 40ECh. 15.1 - Prob. 41ECh. 15.1 - Prob. 42ECh. 15.1 - Prob. 43ECh. 15.1 - Prob. 44ECh. 15.1 - Prob. 45ECh. 15.1 - Prob. 46ECh. 15.1 - Prob. 47ECh. 15.2 - Factor 10x2 − 15x for x.
Ch. 15.2 - Factor 3x2 + 7x − 6 for x.
Ch. 15.2 - Solve by factoring.
Ch. 15.2 - Prob. 2ECh. 15.2 - Prob. 3ECh. 15.2 - Prob. 4ECh. 15.2 - Prob. 5ECh. 15.2 - Prob. 6ECh. 15.2 - Prob. 7ECh. 15.2 - Prob. 8ECh. 15.2 - Prob. 9ECh. 15.2 - Prob. 10ECh. 15.2 - Prob. 11ECh. 15.2 - Prob. 12ECh. 15.2 - Prob. 13ECh. 15.2 - Prob. 14ECh. 15.2 - Prob. 15ECh. 15.2 - Prob. 16ECh. 15.2 - Prob. 17ECh. 15.2 - Solve the equations by factoring.
Ch. 15.2 - Prob. 19ECh. 15.2 - Prob. 20ECh. 15.2 - Prob. 21ECh. 15.2 - Prob. 22ECh. 15.2 - Prob. 23ECh. 15.2 - Prob. 24ECh. 15.2 - Prob. 25ECh. 15.2 - Prob. 26ECh. 15.2 - Prob. 27ECh. 15.2 - Prob. 28ECh. 15.2 - Prob. 29ECh. 15.2 - Prob. 30ECh. 15.2 - Prob. 31ECh. 15.2 - Prob. 32ECh. 15.2 - Prob. 33ECh. 15.2 - Prob. 34ECh. 15.2 - Prob. 35ECh. 15.2 - Prob. 36ECh. 15.2 - Prob. 37ECh. 15.2 - Prob. 38ECh. 15.2 - Prob. 39ECh. 15.2 - Prob. 40ECh. 15.2 - Prob. 41ECh. 15.2 - Prob. 42ECh. 15.3 - Expand .
Ch. 15.3 - Prob. 1ECh. 15.3 - Prob. 2ECh. 15.3 - Prob. 3ECh. 15.3 - Prob. 4ECh. 15.3 - Prob. 5ECh. 15.3 - Prob. 6ECh. 15.3 - Prob. 7ECh. 15.3 - Prob. 8ECh. 15.3 - Prob. 9ECh. 15.3 - Prob. 10ECh. 15.3 - Prob. 11ECh. 15.3 - Prob. 12ECh. 15.3 - Prob. 13ECh. 15.3 - Prob. 14ECh. 15.3 - Prob. 15ECh. 15.3 - Prob. 16ECh. 15.3 - Prob. 17ECh. 15.3 - Prob. 18ECh. 15.3 - Prob. 19ECh. 15.3 - Prob. 20ECh. 15.3 - Prob. 21ECh. 15.3 - Prob. 22ECh. 15.3 - Prob. 23ECh. 15.3 - Prob. 24ECh. 15.3 - Prob. 25ECh. 15.3 - Prob. 26ECh. 15.3 - Prob. 27ECh. 15.3 - Prob. 28ECh. 15.3 - Prob. 29ECh. 15.3 - Prob. 30ECh. 15.3 - Prob. 31ECh. 15.3 - Prob. 32ECh. 15.3 - Prob. 33ECh. 15.3 - Prob. 34ECh. 15.3 - Prob. 35ECh. 15.3 - Prob. 36ECh. 15.4 - Prob. 1LCCh. 15.4 - Prob. 1ECh. 15.4 - Prob. 2ECh. 15.4 - Prob. 3ECh. 15.4 - Prob. 4ECh. 15.4 - Prob. 5ECh. 15.4 - Prob. 6ECh. 15.4 - Prob. 7ECh. 15.4 - Prob. 8ECh. 15.4 - Prob. 9ECh. 15.4 - Prob. 10ECh. 15.4 - Prob. 11ECh. 15.4 - Prob. 12ECh. 15.4 - Prob. 13ECh. 15.4 - Prob. 14ECh. 15.4 - Prob. 15ECh. 15.4 - Prob. 16ECh. 15.4 - Prob. 17ECh. 15.4 - Prob. 18ECh. 15.4 - Prob. 19ECh. 15.4 - Prob. 20ECh. 15.4 - Prob. 21ECh. 15.4 - Prob. 22ECh. 15.4 - Prob. 23ECh. 15.4 - Prob. 24ECh. 15.4 - 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. 15.5 - Prob. 1LCCh. 15.5 - Prob. 2LCCh. 15.5 - Prob. 3LCCh. 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 - Prob. 19ECh. 15.5 - Prob. 20ECh. 15.5 - Prob. 21ECh. 15.5 - Prob. 22ECh. 15.5 - Prob. 23ECh. 15.5 - Prob. 24ECh. 15.5 - Prob. 25ECh. 15.5 - Prob. 26ECh. 15.5 - Prob. 27ECh. 15.5 - Prob. 28ECh. 15.5 - Prob. 29ECh. 15.5 - Prob. 30ECh. 15.5 - Find the domain and range of the functions or...Ch. 15.5 - Prob. 32ECh. 15.5 - Prob. 33ECh. 15.5 - Find the domain and range of the functions or...Ch. 15.5 - Prob. 35ECh. 15.5 - Find the domain and range of the functions or...Ch. 15.6 - Prob. 1LCCh. 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. 15.7 - Prob. 1LCCh. 15.7 - Prob. 1ECh. 15.7 - Prob. 2ECh. 15.7 - Prob. 3ECh. 15.7 - Prob. 4ECh. 15.7 - Prob. 5ECh. 15.7 - Prob. 6ECh. 15.7 - Prob. 7ECh. 15.7 - Prob. 8ECh. 15.7 - Prob. 9ECh. 15.7 - Prob. 10ECh. 15.7 - Prob. 11ECh. 15.7 - Prob. 12ECh. 15.7 - Prob. 13ECh. 15.7 - Prob. 14ECh. 15.7 - Prob. 15ECh. 15.7 - Prob. 16ECh. 15.7 - Prob. 17ECh. 15.7 - Prob. 18ECh. 15.7 - Prob. 19ECh. 15.7 - Prob. 20ECh. 15.7 - Prob. 21ECh. 15.7 - Prob. 22ECh. 15.7 - Prob. 23ECh. 15.7 - Prob. 24ECh. 15.7 - Prob. 25ECh. 15.7 - Prob. 26ECh. 15.7 - Prob. 27ECh. 15.7 - Prob. 28ECh. 15.7 - Prob. 29ECh. 15.7 - Prob. 30ECh. 15.7 - Prob. 31ECh. 15.7 - Prob. 32ECh. 15.7 - Prob. 33ECh. 15.7 - Prob. 34ECh. 15.7 - Find the solution set for each inequality. Graph...Ch. 15.7 - Prob. 36ECh. 15.7 - Prob. 37ECh. 15.7 - Prob. 38ECh. 15.7 - Prob. 39ECh. 15.7 - Prob. 40ECh. 15.7 - Prob. 41ECh. 15.7 - Prob. 42ECh. 15.7 - Prob. 43ECh. 15.7 - Prob. 44ECh. 15.7 - Prob. 45ECh. 15.7 - Prob. 46ECh. 15.7 - Prob. 47ECh. 15.7 - Prob. 48ECh. 15.7 - Prob. 49ECh. 15.7 - Prob. 50ECh. 15.7 - Prob. 51ECh. 15.7 - Prob. 52ECh. 15.7 - Prob. 53ECh. 15.7 - Prob. 54ECh. 15.7 - Prob. 55ECh. 15.7 - Prob. 56ECh. 15.7 - Prob. 57ECh. 15.7 - Prob. 58ECh. 15.7 - Prob. 59ECh. 15.7 - Prob. 60ECh. 15.7 - Prob. 61ECh. 15.7 - Prob. 62ECh. 15.7 - Prob. 63ECh. 15.7 - Prob. 64ECh. 15.7 - Prob. 65ECh. 15.7 - Prob. 66ECh. 15.7 - Prob. 67ECh. 15.7 - Prob. 68ECh. 15.7 - Prob. 69ECh. 15.7 - Prob. 70ECh. 15 - Prob. 1RECh. 15 - Prob. 2RECh. 15 - Prob. 3RECh. 15 - Prob. 4RECh. 15 - Prob. 5RECh. 15 - Prob. 6RECh. 15 - Prob. 7RECh. 15 - Prob. 8RECh. 15 - Prob. 9RECh. 15 - Prob. 10RECh. 15 - Prob. 11RECh. 15 - Prob. 12RECh. 15 - Prob. 13RECh. 15 - Prob. 14RECh. 15 - Prob. 15RECh. 15 - Prob. 16RECh. 15 - Prob. 17RECh. 15 - Prob. 18RECh. 15 - Prob. 19RECh. 15 - Prob. 20RECh. 15 - Solve the equations by the square-root method....Ch. 15 - Prob. 22RECh. 15 - Prob. 23RECh. 15 - Prob. 24RECh. 15 - Prob. 25RECh. 15 - Prob. 26RECh. 15 - Prob. 27RECh. 15 - Prob. 28RECh. 15 - Prob. 29RECh. 15 - Prob. 30RECh. 15 - Prob. 31RECh. 15 - Prob. 32RECh. 15 - Prob. 33RECh. 15 - Prob. 34RECh. 15 - Prob. 35RECh. 15 - Prob. 36RECh. 15 - Prob. 37RECh. 15 - Prob. 38RECh. 15 - Prob. 39RECh. 15 - Prob. 40RECh. 15 - Prob. 41RECh. 15 - Prob. 42RECh. 15 - Prob. 43RECh. 15 - Prob. 44RECh. 15 - Prob. 45RECh. 15 - Prob. 46RECh. 15 - Prob. 47RECh. 15 - Prob. 48RECh. 15 - Prob. 49RECh. 15 - Prob. 50RECh. 15 - Prob. 51RECh. 15 - Prob. 52RECh. 15 - Prob. 53RECh. 15 - Prob. 54RECh. 15 - Prob. 55RECh. 15 - Prob. 56RECh. 15 - Prob. 57RECh. 15 - Prob. 58RECh. 15 - Prob. 59RECh. 15 - Prob. 60RECh. 15 - Prob. 61RECh. 15 - Prob. 62RECh. 15 - Prob. 63RECh. 15 - Prob. 64RECh. 15 - Prob. 65RECh. 15 - Prob. 66RECh. 15 - Prob. 67RECh. 15 - Prob. 68RECh. 15 - Prob. 69RECh. 15 - Prob. 70RECh. 15 - Prob. 71RECh. 15 - Prob. 72RECh. 15 - Prob. 73RECh. 15 - Prob. 74RECh. 15 - Prob. 75RECh. 15 - Prob. 76RECh. 15 - Prob. 77RECh. 15 - Prob. 78RECh. 15 - Prob. 79RECh. 15 - Prob. 80RECh. 15 - Prob. 81RECh. 15 - Prob. 82RECh. 15 - Prob. 83RECh. 15 - Prob. 84RECh. 15 - Prob. 85RECh. 15 - Prob. 86RECh. 15 - Prob. 87RECh. 15 - Prob. 88RECh. 15 - Prob. 89RECh. 15 - Prob. 90RECh. 15 - Prob. 91RECh. 15 - Prob. 92RECh. 15 - Prob. 93RECh. 15 - Prob. 94RECh. 15 - Prob. 95RECh. 15 - Prob. 96RECh. 15 - Prob. 97RECh. 15 - Prob. 98RECh. 15 - Prob. 99RECh. 15 - Prob. 100RECh. 15 - Prob. 101RECh. 15 - Prob. 102RECh. 15 - Prob. 103RECh. 15 - Prob. 104RECh. 15 - Prob. 105RECh. 15 - Prob. 106RECh. 15 - Prob. 107RECh. 15 - Prob. 108RECh. 15 - Prob. 109RECh. 15 - Prob. 110RECh. 15 - Prob. 111RECh. 15 - Prob. 112RECh. 15 - Prob. 113RECh. 15 - Prob. 114RECh. 15 - Prob. 115RECh. 15 - Prob. 116RECh. 15 - Prob. 117RECh. 15 - Prob. 118RECh. 15 - Prob. 119RECh. 15 - Prob. 120RECh. 15 - Prob. 121RECh. 15 - Prob. 122RECh. 15 - Prob. 123RECh. 15 - Prob. 124RECh. 15 - Prob. 125RECh. 15 - Prob. 126RECh. 15 - Prob. 127RECh. 15 - Prob. 128RECh. 15 - Prob. 129RECh. 15 - Prob. 130RECh. 15 - Prob. 131RECh. 15 - Prob. 132RECh. 15 - Prob. 133RECh. 15 - Prob. 134RECh. 15 - Prob. 135RECh. 15 - Prob. 136RECh. 15 - Prob. 137RECh. 15 - Prob. 138RECh. 15 - Prob. 139RECh. 15 - Prob. 140RECh. 15 - Prob. 141RECh. 15 - Prob. 142RECh. 15 - Prob. 143RECh. 15 - Prob. 144RECh. 15 - Prob. 145RECh. 15 - Prob. 146RECh. 15 - Prob. 147RECh. 15 - Prob. 148RECh. 15 - Prob. 149RECh. 15 - Prob. 150RECh. 15 - Prob. 151RECh. 15 - Prob. 152RECh. 15 - Prob. 153RECh. 15 - Prob. 154RECh. 15 - Prob. 155RECh. 15 - Prob. 156RECh. 15 - Prob. 157RECh. 15 - Prob. 158RECh. 15 - Prob. 159RECh. 15 - Prob. 160RECh. 15 - Prob. 161RECh. 15 - Prob. 162RECh. 15 - Prob. 163RECh. 15 - Prob. 164RECh. 15 - Prob. 165RECh. 15 - Prob. 166RECh. 15 - Prob. 167RECh. 15 - Prob. 168RECh. 15 - Prob. 169RECh. 15 - Prob. 170RECh. 15 - Prob. 171RECh. 15 - Prob. 172RECh. 15 - Prob. 173RECh. 15 - Prob. 174RECh. 15 - Prob. 175RECh. 15 - Prob. 176RECh. 15 - Prob. 177RECh. 15 - Prob. 178RECh. 15 - Prob. 179RECh. 15 - Prob. 180RECh. 15 - Prob. 181RECh. 15 - Prob. 182RECh. 15 - Solve each inequality and graph the solution on a...Ch. 15 - Prob. 184RECh. 15 - Solve each inequality and graph the solution on a...Ch. 15 - Prob. 186RECh. 15 - Prob. 187RECh. 15 - Prob. 188RECh. 15 - Prob. 189RECh. 15 - Prob. 190RECh. 15 - Prob. 191RECh. 15 - Prob. 192RECh. 15 - Prob. 193RECh. 15 - Prob. 194RECh. 15 - Prob. 195RECh. 15 - Prob. 196RECh. 15 - Prob. 197RECh. 15 - Prob. 198RECh. 15 - Prob. 199RECh. 15 - Prob. 200RECh. 15 - Prob. 201RECh. 15 - Prob. 202RECh. 15 - Prob. 203RECh. 15 - Prob. 204RECh. 15 - Prob. 205RECh. 15 - Prob. 206RECh. 15 - Prob. 207RECh. 15 - Prob. 208RECh. 15 - Solve each equation containing an absolute...Ch. 15 - Prob. 210RECh. 15 - Prob. 211RECh. 15 - Prob. 212RECh. 15 - Prob. 213RECh. 15 - Prob. 214RECh. 15 - Prob. 215RECh. 15 - Prob. 216RECh. 15 - Prob. 217RECh. 15 - Prob. 218RECh. 15 - Prob. 219RECh. 15 - Prob. 1CACh. 15 - Prob. 2CACh. 15 - Prob. 3CACh. 15 - Prob. 4CACh. 15 - Prob. 5CACh. 15 - Prob. 6CACh. 15 - Prob. 7CACh. 15 - Prob. 8CACh. 15 - Prob. 9CACh. 15 - Prob. 10CACh. 15 - Prob. 11CACh. 15 - Prob. 12CACh. 15 - Prob. 13CACh. 15 - Prob. 14CACh. 15 - Prob. 1PTCh. 15 - Prob. 2PTCh. 15 - Prob. 3PTCh. 15 - Prob. 4PTCh. 15 - Prob. 5PTCh. 15 - Prob. 6PTCh. 15 - Prob. 7PTCh. 15 - Prob. 8PTCh. 15 - Prob. 9PTCh. 15 - Prob. 10PTCh. 15 - Prob. 11PTCh. 15 - Prob. 12PTCh. 15 - Prob. 13PTCh. 15 - Prob. 14PTCh. 15 - Prob. 15PTCh. 15 - Prob. 16PTCh. 15 - Prob. 17PTCh. 15 - Prob. 18PTCh. 15 - Prob. 19PTCh. 15 - Prob. 20PTCh. 15 - Prob. 21PTCh. 15 - Prob. 22PTCh. 15 - Prob. 23PTCh. 15 - Prob. 24PTCh. 15 - Prob. 25PTCh. 15 - Prob. 26PTCh. 15 - Prob. 27PTCh. 15 - Prob. 28PTCh. 15 - Prob. 29PTCh. 15 - Prob. 30PTCh. 15 - Prob. 31PTCh. 15 - Prob. 35PTCh. 15 - Prob. 36PTCh. 15 - Prob. 37PTCh. 15 - Prob. 38PTCh. 15 - Prob. 39PTCh. 15 - Prob. 40PTCh. 15 - Prob. 41PTCh. 15 - Prob. 42PTCh. 15 - Prob. 43PTCh. 15 - Prob. 1CPTCh. 15 - Prob. 2CPTCh. 15 - Prob. 3CPTCh. 15 - Prob. 4CPTCh. 15 - Prob. 5CPTCh. 15 - Prob. 6CPTCh. 15 - Prob. 7CPTCh. 15 - Prob. 8CPTCh. 15 - Prob. 9CPTCh. 15 - Prob. 10CPTCh. 15 - Prob. 11CPTCh. 15 - Prob. 12CPTCh. 15 - Prob. 13CPTCh. 15 - Prob. 14CPTCh. 15 - Prob. 15CPTCh. 15 - Prob. 16CPTCh. 15 - Prob. 17CPTCh. 15 - Prob. 18CPTCh. 15 - Prob. 19CPTCh. 15 - Prob. 20CPTCh. 15 - Prob. 21CPTCh. 15 - Prob. 22CPTCh. 15 - Prob. 23CPTCh. 15 - Prob. 24CPTCh. 15 - Prob. 25CPTCh. 15 - Prob. 26CPTCh. 15 - Prob. 27CPTCh. 15 - Prob. 28CPTCh. 15 - Prob. 29CPTCh. 15 - Prob. 30CPTCh. 15 - Prob. 31CPTCh. 15 - Prob. 32CPTCh. 15 - Prob. 33CPT
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