Intermediate Algebra
10th Edition
ISBN: 9781285195728
Author: Jerome E. Kaufmann, Karen L. Schwitters
Publisher: Cengage Learning
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Chapter 11.5, Problem 47PS
To determine
To find:
The value of
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a
Question 7. If det d e f
ghi
V3
= 2. Find det
-1
2
Question 8. Let A = 1
4
5
0
3
2.
1 Find adj (A)
2 Find det (A)
3
Find A-1
2g 2h 2i
-e-f
-d
273
2a 2b 2c
Question 1. Solve the system
-
x1 x2 + 3x3 + 2x4
-x1 + x22x3 + x4
2x12x2+7x3+7x4
Question 2. Consider the system
= 1
=-2
= 1
3x1 - x2 + ax3
= 1
x1 + 3x2 + 2x3
x12x2+2x3
= -b
= 4
1 For what values of a, b will the system be inconsistent?
2 For what values of a, b will the system have only one solution?
For what values of a, b will the saystem have infinitely many solutions?
Question 5. Let A, B, C ben x n-matrices, S is nonsigular. If A = S-1 BS, show that
det (A) = det (B)
Question 6. For what values of k is the matrix A = (2- k
-1
-1
2) singular?
k
Chapter 11 Solutions
Intermediate Algebra
Ch. 11.1 - For Problems 1-10 answer true or false If 2x+1=23x...Ch. 11.1 - Prob. 2CQCh. 11.1 - Prob. 3CQCh. 11.1 - Prob. 4CQCh. 11.1 - Prob. 5CQCh. 11.1 - Prob. 6CQCh. 11.1 - Prob. 7CQCh. 11.1 - Prob. 8CQCh. 11.1 - Prob. 9CQCh. 11.1 - Prob. 10CQ
Ch. 11.1 - Prob. 1PSCh. 11.1 - Prob. 2PSCh. 11.1 - Prob. 3PSCh. 11.1 - Prob. 4PSCh. 11.1 - Prob. 5PSCh. 11.1 - Prob. 6PSCh. 11.1 - Prob. 7PSCh. 11.1 - Prob. 8PSCh. 11.1 - Prob. 9PSCh. 11.1 - Prob. 10PSCh. 11.1 - Prob. 11PSCh. 11.1 - Prob. 12PSCh. 11.1 - Prob. 13PSCh. 11.1 - Prob. 14PSCh. 11.1 - Prob. 15PSCh. 11.1 - Prob. 16PSCh. 11.1 - Prob. 17PSCh. 11.1 - Prob. 18PSCh. 11.1 - Prob. 19PSCh. 11.1 - Prob. 20PSCh. 11.1 - Prob. 21PSCh. 11.1 - Prob. 22PSCh. 11.1 - Prob. 23PSCh. 11.1 - Prob. 24PSCh. 11.1 - Prob. 25PSCh. 11.1 - Prob. 26PSCh. 11.1 - Prob. 27PSCh. 11.1 - Prob. 28PSCh. 11.1 - Prob. 29PSCh. 11.1 - Prob. 30PSCh. 11.1 - Prob. 31PSCh. 11.1 - Prob. 32PSCh. 11.1 - Prob. 33PSCh. 11.1 - Prob. 34PSCh. 11.1 - Prob. 35PSCh. 11.1 - Prob. 36PSCh. 11.1 - Prob. 37PSCh. 11.1 - Prob. 38PSCh. 11.1 - Prob. 39PSCh. 11.1 - Prob. 40PSCh. 11.1 - Prob. 41PSCh. 11.1 - Prob. 42PSCh. 11.1 - Prob. 43PSCh. 11.1 - Prob. 44PSCh. 11.1 - Prob. 45PSCh. 11.1 - Prob. 46PSCh. 11.1 - Prob. 47PSCh. 11.1 - Prob. 48PSCh. 11.1 - Prob. 49PSCh. 11.1 - Prob. 50PSCh. 11.1 - For Problems 35-52, graph each exponential...Ch. 11.1 - For Problems 35-52, graph each exponential...Ch. 11.1 - Prob. 53PSCh. 11.1 - Prob. 54PSCh. 11.1 - Prob. 55PSCh. 11.1 - Prob. 57PSCh. 11.1 - Prob. 58PSCh. 11.1 - Prob. 59PSCh. 11.1 - Prob. 60PSCh. 11.1 - Prob. 61PSCh. 11.2 - For Problems 1-5, match each type of problem with...Ch. 11.2 - Prob. 2CQCh. 11.2 - Prob. 3CQCh. 11.2 - Prob. 4CQCh. 11.2 - Prob. 5CQCh. 11.2 - Prob. 6CQCh. 11.2 - Prob. 7CQCh. 11.2 - Prob. 8CQCh. 11.2 - Prob. 9CQCh. 11.2 - Prob. 10CQCh. 11.2 - Prob. 1PSCh. 11.2 - Suppose it is estimated that the value of a car...Ch. 11.2 - Prob. 3PSCh. 11.2 - Prob. 4PSCh. 11.2 - Prob. 5PSCh. 11.2 - Prob. 6PSCh. 11.2 - Prob. 7PSCh. 11.2 - Prob. 8PSCh. 11.2 - Prob. 9PSCh. 11.2 - Prob. 10PSCh. 11.2 - Prob. 11PSCh. 11.2 - Prob. 12PSCh. 11.2 - Prob. 13PSCh. 11.2 - Prob. 14PSCh. 11.2 - Prob. 15PSCh. 11.2 - Prob. 16PSCh. 11.2 - Prob. 17PSCh. 11.2 - Prob. 18PSCh. 11.2 - Prob. 19PSCh. 11.2 - Prob. 20PSCh. 11.2 - Prob. 21PSCh. 11.2 - Prob. 22PSCh. 11.2 - Prob. 23PSCh. 11.2 - Prob. 24PSCh. 11.2 - Prob. 25PSCh. 11.2 - Prob. 26PSCh. 11.2 - Prob. 27PSCh. 11.2 - Two years ago Daniel invested some money at 8...Ch. 11.2 - What rate of interest to the nearest hundredth of...Ch. 11.2 - Suppose that a certain radioactive substance has a...Ch. 11.2 - Strontium-90 has a half life of 29 years. If there...Ch. 11.2 - The half life of radium is approximately 1600...Ch. 11.2 - For Problems 33-38, graph each of the exponential...Ch. 11.2 - Prob. 34PSCh. 11.2 - Prob. 35PSCh. 11.2 - Prob. 36PSCh. 11.2 - Prob. 37PSCh. 11.2 - Prob. 38PSCh. 11.2 - For Problems 39-44, express your answer to the...Ch. 11.2 - Prob. 40PSCh. 11.2 - Prob. 41PSCh. 11.2 - Prob. 42PSCh. 11.2 - Prob. 43PSCh. 11.2 - Prob. 44PSCh. 11.2 - Prob. 45PSCh. 11.2 - Prob. 46PSCh. 11.2 - Prob. 47PSCh. 11.2 - Prob. 48PSCh. 11.2 - Prob. 49PSCh. 11.2 - Prob. 50PSCh. 11.2 - Graph f(x)=ex. Now predict the graphs for f(x)=ex,...Ch. 11.2 - Prob. 52PSCh. 11.3 - For Problems 1-10, answer true or false. The...Ch. 11.3 - Prob. 2CQCh. 11.3 - Prob. 3CQCh. 11.3 - Prob. 4CQCh. 11.3 - Prob. 5CQCh. 11.3 - Prob. 6CQCh. 11.3 - Prob. 7CQCh. 11.3 - For Problems 1-10, answer true or false....Ch. 11.3 - Prob. 9CQCh. 11.3 - Prob. 10CQCh. 11.3 - Prob. 1PSCh. 11.3 - Prob. 2PSCh. 11.3 - Prob. 3PSCh. 11.3 - Prob. 4PSCh. 11.3 - Prob. 5PSCh. 11.3 - Prob. 6PSCh. 11.3 - Prob. 7PSCh. 11.3 - Prob. 8PSCh. 11.3 - Prob. 9PSCh. 11.3 - Prob. 10PSCh. 11.3 - Prob. 11PSCh. 11.3 - Prob. 12PSCh. 11.3 - Prob. 13PSCh. 11.3 - Prob. 14PSCh. 11.3 - For Problems 11-20, write each of the following in...Ch. 11.3 - Prob. 16PSCh. 11.3 - Prob. 17PSCh. 11.3 - Prob. 18PSCh. 11.3 - Prob. 19PSCh. 11.3 - Prob. 20PSCh. 11.3 - Prob. 21PSCh. 11.3 - Prob. 22PSCh. 11.3 - Prob. 23PSCh. 11.3 - Prob. 24PSCh. 11.3 - Prob. 25PSCh. 11.3 - Prob. 26PSCh. 11.3 - Prob. 27PSCh. 11.3 - Prob. 28PSCh. 11.3 - Prob. 29PSCh. 11.3 - Prob. 30PSCh. 11.3 - Prob. 31PSCh. 11.3 - Prob. 32PSCh. 11.3 - Prob. 33PSCh. 11.3 - Prob. 34PSCh. 11.3 - Prob. 35PSCh. 11.3 - Prob. 36PSCh. 11.3 - Prob. 37PSCh. 11.3 - Prob. 38PSCh. 11.3 - Prob. 39PSCh. 11.3 - Prob. 40PSCh. 11.3 - Prob. 41PSCh. 11.3 - Prob. 42PSCh. 11.3 - Prob. 43PSCh. 11.3 - Prob. 44PSCh. 11.3 - Prob. 45PSCh. 11.3 - Prob. 46PSCh. 11.3 - Prob. 47PSCh. 11.3 - Prob. 48PSCh. 11.3 - Prob. 49PSCh. 11.3 - Prob. 50PSCh. 11.3 - Prob. 51PSCh. 11.3 - Prob. 52PSCh. 11.3 - Prob. 53PSCh. 11.3 - Prob. 54PSCh. 11.3 - Prob. 55PSCh. 11.3 - Prob. 56PSCh. 11.3 - Prob. 57PSCh. 11.3 - Prob. 58PSCh. 11.3 - Prob. 59PSCh. 11.3 - Prob. 60PSCh. 11.3 - Prob. 61PSCh. 11.3 - Prob. 62PSCh. 11.3 - Prob. 63PSCh. 11.3 - Prob. 64PSCh. 11.3 - Prob. 65PSCh. 11.3 - Prob. 66PSCh. 11.3 - Prob. 67PSCh. 11.3 - Prob. 68PSCh. 11.3 - Prob. 69PSCh. 11.3 - Prob. 70PSCh. 11.3 - Prob. 71PSCh. 11.3 - Prob. 72PSCh. 11.3 - For Problems 69-80, express each of the following...Ch. 11.3 - Prob. 74PSCh. 11.3 - Prob. 75PSCh. 11.3 - Prob. 76PSCh. 11.3 - Prob. 77PSCh. 11.3 - Prob. 78PSCh. 11.3 - Prob. 79PSCh. 11.3 - Prob. 80PSCh. 11.3 - Prob. 81PSCh. 11.3 - Prob. 82PSCh. 11.3 - Prob. 83PSCh. 11.3 - Prob. 84PSCh. 11.3 - Prob. 85PSCh. 11.3 - Prob. 86PSCh. 11.3 - Prob. 87PSCh. 11.3 - Prob. 88PSCh. 11.3 - Prob. 89PSCh. 11.3 - Prob. 90PSCh. 11.3 - Prob. 91PSCh. 11.3 - Prob. 92PSCh. 11.3 - Prob. 93PSCh. 11.3 - Prob. 94PSCh. 11.3 - Prob. 95PSCh. 11.3 - Prob. 96PSCh. 11.3 - Prob. 97PSCh. 11.3 - Prob. 98PSCh. 11.3 - Prob. 99PSCh. 11.3 - Prob. 100PSCh. 11.3 - Prob. 101PSCh. 11.3 - Prob. 102PSCh. 11.4 - For Problems 1-10, answer true or false. The...Ch. 11.4 - Prob. 2CQCh. 11.4 - Prob. 3CQCh. 11.4 - Prob. 4CQCh. 11.4 - Prob. 5CQCh. 11.4 - Prob. 6CQCh. 11.4 - For Problems 1-10, answer true or false. If lnx=1...Ch. 11.4 - Prob. 8CQCh. 11.4 - Prob. 9CQCh. 11.4 - Prob. 10CQCh. 11.4 - Prob. 1PSCh. 11.4 - Prob. 2PSCh. 11.4 - Prob. 3PSCh. 11.4 - Prob. 4PSCh. 11.4 - Prob. 5PSCh. 11.4 - Prob. 6PSCh. 11.4 - Prob. 7PSCh. 11.4 - Prob. 8PSCh. 11.4 - For Problems 1-10, use a calculator to find each...Ch. 11.4 - Prob. 10PSCh. 11.4 - Prob. 11PSCh. 11.4 - Prob. 12PSCh. 11.4 - Prob. 13PSCh. 11.4 - Prob. 14PSCh. 11.4 - Prob. 15PSCh. 11.4 - Prob. 16PSCh. 11.4 - Prob. 17PSCh. 11.4 - Prob. 18PSCh. 11.4 - Prob. 19PSCh. 11.4 - Prob. 20PSCh. 11.4 - Prob. 21PSCh. 11.4 - Prob. 22PSCh. 11.4 - Prob. 23PSCh. 11.4 - Prob. 24PSCh. 11.4 - Prob. 25PSCh. 11.4 - Prob. 26PSCh. 11.4 - Prob. 27PSCh. 11.4 - Prob. 28PSCh. 11.4 - For problems 21-30, use your calculator to find...Ch. 11.4 - Prob. 30PSCh. 11.4 - Prob. 31PSCh. 11.4 - Prob. 32PSCh. 11.4 - Prob. 33PSCh. 11.4 - Prob. 34PSCh. 11.4 - Prob. 35PSCh. 11.4 - Prob. 36PSCh. 11.4 - Prob. 37PSCh. 11.4 - Prob. 38PSCh. 11.4 - Prob. 39PSCh. 11.4 - Prob. 40PSCh. 11.4 - Prob. 41PSCh. 11.4 - Prob. 42PSCh. 11.4 - Prob. 43PSCh. 11.4 - Prob. 44PSCh. 11.4 - Prob. 45PSCh. 11.4 - Prob. 46PSCh. 11.4 - For Problems 47-53, graph each of the functions....Ch. 11.4 - Prob. 48PSCh. 11.4 - Prob. 49PSCh. 11.4 - Prob. 50PSCh. 11.4 - Prob. 51PSCh. 11.4 - Prob. 52PSCh. 11.4 - Prob. 53PSCh. 11.4 - Prob. 54PSCh. 11.4 - Prob. 55PSCh. 11.4 - Prob. 56PSCh. 11.4 - Prob. 57PSCh. 11.4 - Prob. 58PSCh. 11.4 - Prob. 59PSCh. 11.4 - Prob. 60PSCh. 11.4 - Prob. 61PSCh. 11.4 - Why is the number 1 excluded from being a base of...Ch. 11.4 - Prob. 63PSCh. 11.4 - Prob. 64PSCh. 11.4 - Prob. 65PSCh. 11.4 - Prob. 66PSCh. 11.4 - Prob. 67PSCh. 11.4 - Prob. 68PSCh. 11.4 - Prob. 69PSCh. 11.5 - For Problems 1-8, answer true or false. The...Ch. 11.5 - For Problems 1-8, answer true or false. All...Ch. 11.5 - Prob. 3CQCh. 11.5 - Prob. 4CQCh. 11.5 - For Problems 1-8, answer true or false. The...Ch. 11.5 - Prob. 6CQCh. 11.5 - For Problems 1-8, answer true or false. The...Ch. 11.5 - Prob. 8CQCh. 11.5 - Prob. 1PSCh. 11.5 - Prob. 2PSCh. 11.5 - Prob. 3PSCh. 11.5 - Prob. 4PSCh. 11.5 - Prob. 5PSCh. 11.5 - Prob. 6PSCh. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - For problems 1-14, solve each exponential equation...Ch. 11.5 - Prob. 11PSCh. 11.5 - Prob. 12PSCh. 11.5 - Prob. 13PSCh. 11.5 - Prob. 14PSCh. 11.5 - Prob. 15PSCh. 11.5 - Prob. 16PSCh. 11.5 - Prob. 17PSCh. 11.5 - Prob. 18PSCh. 11.5 - Prob. 19PSCh. 11.5 - Prob. 20PSCh. 11.5 - Prob. 21PSCh. 11.5 - Prob. 22PSCh. 11.5 - Prob. 23PSCh. 11.5 - Prob. 24PSCh. 11.5 - Prob. 25PSCh. 11.5 - Prob. 26PSCh. 11.5 - Prob. 27PSCh. 11.5 - Prob. 28PSCh. 11.5 - Prob. 29PSCh. 11.5 - Prob. 30PSCh. 11.5 - Prob. 31PSCh. 11.5 - Prob. 32PSCh. 11.5 - Prob. 33PSCh. 11.5 - For Problems 33-41, solve each problem and express...Ch. 11.5 - Prob. 35PSCh. 11.5 - Prob. 36PSCh. 11.5 - Prob. 37PSCh. 11.5 - Prob. 38PSCh. 11.5 - Prob. 39PSCh. 11.5 - Prob. 40PSCh. 11.5 - Prob. 41PSCh. 11.5 - Prob. 42PSCh. 11.5 - Prob. 43PSCh. 11.5 - Prob. 44PSCh. 11.5 - Prob. 45PSCh. 11.5 - Prob. 46PSCh. 11.5 - Prob. 47PSCh. 11.5 - Prob. 48PSCh. 11.5 - Prob. 49PSCh. 11.5 - Prob. 50PSCh. 11.5 - Prob. 51PSCh. 11.5 - Prob. 52PSCh. 11.5 - Prob. 53PSCh. 11.5 - Prob. 54PSCh. 11.S - Prob. 1SCh. 11.S - Prob. 2SCh. 11.S - Prob. 3SCh. 11.S - Prob. 4SCh. 11.S - Prob. 5SCh. 11.S - Prob. 6SCh. 11.S - Prob. 7SCh. 11.S - Prob. 8SCh. 11.S - Prob. 9SCh. 11.S - Prob. 10SCh. 11.S - Prob. 11SCh. 11.S - Prob. 12SCh. 11.S - Prob. 13SCh. 11.S - Prob. 14SCh. 11.S - Prob. 15SCh. 11.S - Prob. 16SCh. 11.S - Prob. 17SCh. 11.S - Prob. 18SCh. 11.CR - For problems 1 and 2, graph each of the functions....Ch. 11.CR - Prob. 2CRCh. 11.CR - Prob. 3CRCh. 11.CR - Prob. 4CRCh. 11.CR - Prob. 5CRCh. 11.CR - Prob. 6CRCh. 11.CR - Prob. 7CRCh. 11.CR - Prob. 8CRCh. 11.CR - Prob. 9CRCh. 11.CR - Prob. 10CRCh. 11.CR - Prob. 11CRCh. 11.CR - Prob. 12CRCh. 11.CR - Prob. 13CRCh. 11.CR - For problems 11-14, write each of the following in...Ch. 11.CR - Prob. 15CRCh. 11.CR - Prob. 16CRCh. 11.CR - Prob. 17CRCh. 11.CR - Prob. 18CRCh. 11.CR - Prob. 19CRCh. 11.CR - Prob. 20CRCh. 11.CR - Prob. 21CRCh. 11.CR - Prob. 22CRCh. 11.CR - Prob. 23CRCh. 11.CR - Prob. 24CRCh. 11.CR - Prob. 25CRCh. 11.CR - Prob. 26CRCh. 11.CR - Prob. 27CRCh. 11.CR - Prob. 28CRCh. 11.CR - Prob. 29CRCh. 11.CR - Prob. 30CRCh. 11.CR - Prob. 31CRCh. 11.CR - Prob. 32CRCh. 11.CR - Prob. 33CRCh. 11.CR - Prob. 34CRCh. 11.CR - Prob. 35CRCh. 11.CR - Prob. 36CRCh. 11.CR - Prob. 37CRCh. 11.CR - Prob. 38CRCh. 11.CR - Prob. 39CRCh. 11.CR - Prob. 40CRCh. 11.CR - Prob. 41CRCh. 11.CR - Prob. 42CRCh. 11.CR - Prob. 43CRCh. 11.CR - Prob. 44CRCh. 11.CR - Prob. 45CRCh. 11.CR - Prob. 46CRCh. 11.CR - Prob. 47CRCh. 11.CR - Prob. 48CRCh. 11.CR - Prob. 49CRCh. 11.CR - Prob. 50CRCh. 11.CR - Prob. 51CRCh. 11.CR - Prob. 52CRCh. 11.CR - Suppose that 8000 is invested at 6 interest...Ch. 11.CR - If 25, 000 is invested at 4 interest compounded...Ch. 11.CR - How long will it take 1000 to double itself if it...Ch. 11.CR - Prob. 56CRCh. 11.CR - If 3500 is invested at 8 interest compounded...Ch. 11.CR - Prob. 58CRCh. 11.CR - Prob. 59CRCh. 11.CR - Suppose that a certain radioactive substance has a...Ch. 11.CR - Suppose that the present population of a city is...Ch. 11.CR - Prob. 62CRCh. 11.CR - An earthquake in Mexico in 1985 had and intensity...Ch. 11.CR - Prob. 64CRCh. 11.CT - Prob. 1CTCh. 11.CT - Prob. 2CTCh. 11.CT - Prob. 3CTCh. 11.CT - Prob. 4CTCh. 11.CT - Prob. 5CTCh. 11.CT - Prob. 6CTCh. 11.CT - Prob. 7CTCh. 11.CT - Prob. 8CTCh. 11.CT - Prob. 9CTCh. 11.CT - Prob. 10CTCh. 11.CT - Prob. 11CTCh. 11.CT - Prob. 12CTCh. 11.CT - Prob. 13CTCh. 11.CT - Prob. 14CTCh. 11.CT - Prob. 15CTCh. 11.CT - Prob. 16CTCh. 11.CT - Prob. 17CTCh. 11.CT - Prob. 18CTCh. 11.CT - Prob. 19CTCh. 11.CT - Prob. 20CTCh. 11.CT - Prob. 21CTCh. 11.CT - Prob. 22CTCh. 11.CT - Prob. 23CTCh. 11.CT - Prob. 24CTCh. 11.CT - Prob. 25CT
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