Algebra And Trigonometry (11th Edition)
11th Edition
ISBN: 9780135163078
Author: Michael Sullivan
Publisher: PEARSON
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Question
Chapter 4.1, Problem 43AYU
(a)
To determine
The domain of the linear function
(b)
To determine
The tax bill of a single person when the adjusted gross income is $20,000.
(c)
To determine
The independent and the dependent variable of the function
(d)
To determine
To sketch: The function
(e)
To determine
The adjusted gross income when the tax bill is $3109.50.
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Question 1. Solve the system
-
x1 x2 + 3x3 + 2x4
-x1 + x22x3 + x4
2x12x2+7x3+7x4
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= 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 4 Solutions
Algebra And Trigonometry (11th Edition)
Ch. 4.1 - Prob. 1AYUCh. 4.1 - Prob. 2AYUCh. 4.1 - Prob. 3AYUCh. 4.1 - Prob. 4AYUCh. 4.1 - Prob. 5AYUCh. 4.1 - Prob. 6AYUCh. 4.1 - Prob. 7AYUCh. 4.1 - Prob. 8AYUCh. 4.1 - Prob. 9AYUCh. 4.1 - Prob. 10AYU
Ch. 4.1 - Prob. 11AYUCh. 4.1 - Prob. 12AYUCh. 4.1 - Prob. 13AYUCh. 4.1 - Prob. 14AYUCh. 4.1 - Prob. 15AYUCh. 4.1 - Prob. 16AYUCh. 4.1 - Prob. 17AYUCh. 4.1 - Prob. 18AYUCh. 4.1 - Prob. 19AYUCh. 4.1 - Prob. 20AYUCh. 4.1 - Prob. 21AYUCh. 4.1 - Prob. 22AYUCh. 4.1 - Prob. 23AYUCh. 4.1 - Prob. 24AYUCh. 4.1 - Prob. 25AYUCh. 4.1 - Prob. 26AYUCh. 4.1 - Prob. 27AYUCh. 4.1 - Prob. 28AYUCh. 4.1 - Prob. 29AYUCh. 4.1 - Prob. 30AYUCh. 4.1 - Prob. 31AYUCh. 4.1 - Prob. 32AYUCh. 4.1 - Prob. 33AYUCh. 4.1 - Prob. 34AYUCh. 4.1 - Prob. 35AYUCh. 4.1 - Prob. 36AYUCh. 4.1 - Prob. 37AYUCh. 4.1 - Prob. 38AYUCh. 4.1 - Prob. 39AYUCh. 4.1 - Prob. 40AYUCh. 4.1 - Prob. 41AYUCh. 4.1 - Prob. 42AYUCh. 4.1 - Prob. 43AYUCh. 4.1 - Prob. 44AYUCh. 4.1 - Prob. 45AYUCh. 4.1 - Prob. 46AYUCh. 4.1 - Prob. 47AYUCh. 4.1 - Prob. 48AYUCh. 4.1 - Prob. 49AYUCh. 4.1 - Prob. 50AYUCh. 4.1 - Prob. 51AYUCh. 4.1 - Prob. 52AYUCh. 4.1 - Prob. 53AYUCh. 4.1 - Prob. 54AYUCh. 4.1 - Prob. 55AYUCh. 4.1 - Prob. 56AYUCh. 4.1 - Prob. 57AYUCh. 4.1 - Prob. 58AYUCh. 4.1 - Prob. 59AYUCh. 4.1 - Prob. 60AYUCh. 4.1 - Prob. 61AYUCh. 4.1 - Prob. 62AYUCh. 4.1 - Prob. 63AYUCh. 4.1 - Prob. 64AYUCh. 4.1 - Prob. 65AYUCh. 4.1 - Prob. 66AYUCh. 4.1 - Prob. 67AYUCh. 4.1 - Prob. 68AYUCh. 4.2 - Prob. 1AYUCh. 4.2 - Prob. 2AYUCh. 4.2 - Prob. 3AYUCh. 4.2 - Prob. 4AYUCh. 4.2 - Prob. 5AYUCh. 4.2 - Prob. 6AYUCh. 4.2 - Prob. 7AYUCh. 4.2 - Prob. 8AYUCh. 4.2 - Prob. 9AYUCh. 4.2 - Prob. 10AYUCh. 4.2 - Prob. 11AYUCh. 4.2 - Prob. 12AYUCh. 4.2 - Prob. 13AYUCh. 4.2 - Prob. 14AYUCh. 4.2 - Prob. 15AYUCh. 4.2 - Prob. 16AYUCh. 4.2 - Prob. 17AYUCh. 4.2 - Prob. 18AYUCh. 4.2 - Prob. 19AYUCh. 4.2 - Prob. 20AYUCh. 4.2 - Prob. 21AYUCh. 4.2 - Prob. 22AYUCh. 4.2 - Prob. 23AYUCh. 4.2 - Prob. 24AYUCh. 4.2 - Prob. 25AYUCh. 4.2 - Prob. 26AYUCh. 4.2 - Prob. 27AYUCh. 4.2 - Prob. 28AYUCh. 4.2 - Prob. 29AYUCh. 4.2 - Prob. 30AYUCh. 4.2 - Prob. 31AYUCh. 4.2 - Prob. 32AYUCh. 4.2 - Prob. 33AYUCh. 4.2 - Prob. 34AYUCh. 4.2 - Prob. 35AYUCh. 4.2 - Prob. 36AYUCh. 4.3 - Prob. 1AYUCh. 4.3 - Prob. 2AYUCh. 4.3 - Prob. 3AYUCh. 4.3 - Prob. 4AYUCh. 4.3 - Prob. 5AYUCh. 4.3 - Prob. 6AYUCh. 4.3 - Prob. 7AYUCh. 4.3 - Prob. 8AYUCh. 4.3 - Prob. 9AYUCh. 4.3 - Prob. 10AYUCh. 4.3 - Prob. 11AYUCh. 4.3 - Prob. 12AYUCh. 4.3 - Prob. 13AYUCh. 4.3 - Prob. 14AYUCh. 4.3 - Prob. 15AYUCh. 4.3 - Prob. 16AYUCh. 4.3 - Prob. 17AYUCh. 4.3 - Prob. 18AYUCh. 4.3 - Prob. 19AYUCh. 4.3 - Prob. 20AYUCh. 4.3 - Prob. 21AYUCh. 4.3 - Prob. 22AYUCh. 4.3 - Prob. 23AYUCh. 4.3 - Prob. 24AYUCh. 4.3 - Prob. 25AYUCh. 4.3 - Prob. 26AYUCh. 4.3 - Prob. 27AYUCh. 4.3 - Prob. 28AYUCh. 4.3 - Prob. 29AYUCh. 4.3 - Prob. 30AYUCh. 4.3 - Prob. 31AYUCh. 4.3 - Prob. 32AYUCh. 4.3 - Prob. 33AYUCh. 4.3 - Prob. 34AYUCh. 4.3 - Prob. 35AYUCh. 4.3 - Prob. 36AYUCh. 4.3 - Prob. 37AYUCh. 4.3 - Prob. 38AYUCh. 4.3 - Prob. 39AYUCh. 4.3 - Prob. 40AYUCh. 4.3 - Prob. 41AYUCh. 4.3 - Prob. 42AYUCh. 4.3 - Prob. 43AYUCh. 4.3 - Prob. 44AYUCh. 4.3 - Prob. 45AYUCh. 4.3 - Prob. 46AYUCh. 4.3 - Prob. 47AYUCh. 4.3 - Prob. 48AYUCh. 4.3 - Prob. 49AYUCh. 4.3 - Prob. 50AYUCh. 4.3 - Prob. 51AYUCh. 4.3 - Prob. 52AYUCh. 4.3 - Prob. 53AYUCh. 4.3 - Prob. 54AYUCh. 4.3 - Prob. 55AYUCh. 4.3 - Prob. 56AYUCh. 4.3 - Prob. 57AYUCh. 4.3 - Prob. 58AYUCh. 4.3 - Prob. 59AYUCh. 4.3 - Prob. 60AYUCh. 4.3 - Prob. 61AYUCh. 4.3 - Prob. 62AYUCh. 4.3 - Prob. 63AYUCh. 4.3 - Prob. 64AYUCh. 4.3 - Prob. 65AYUCh. 4.3 - Prob. 66AYUCh. 4.3 - Prob. 67AYUCh. 4.3 - Prob. 68AYUCh. 4.3 - Prob. 69AYUCh. 4.3 - Prob. 70AYUCh. 4.3 - Prob. 71AYUCh. 4.3 - Prob. 72AYUCh. 4.3 - Prob. 73AYUCh. 4.3 - Prob. 74AYUCh. 4.3 - Prob. 75AYUCh. 4.3 - Prob. 76AYUCh. 4.3 - Prob. 77AYUCh. 4.3 - Prob. 78AYUCh. 4.3 - Prob. 79AYUCh. 4.3 - Prob. 80AYUCh. 4.3 - Prob. 81AYUCh. 4.3 - Prob. 82AYUCh. 4.3 - Prob. 83AYUCh. 4.3 - Prob. 84AYUCh. 4.3 - Prob. 85AYUCh. 4.3 - Prob. 86AYUCh. 4.3 - Prob. 87AYUCh. 4.3 - Prob. 88AYUCh. 4.3 - Prob. 89AYUCh. 4.3 - Prob. 90AYUCh. 4.3 - Prob. 91AYUCh. 4.3 - Prob. 92AYUCh. 4.3 - Prob. 93AYUCh. 4.3 - Prob. 94AYUCh. 4.3 - Prob. 95AYUCh. 4.3 - Prob. 96AYUCh. 4.3 - Prob. 97AYUCh. 4.3 - Prob. 98AYUCh. 4.3 - Prob. 99AYUCh. 4.3 - Prob. 100AYUCh. 4.3 - Prob. 101AYUCh. 4.3 - Prob. 102AYUCh. 4.3 - Prob. 103AYUCh. 4.3 - Prob. 104AYUCh. 4.3 - Prob. 105AYUCh. 4.3 - Prob. 106AYUCh. 4.3 - Prob. 107AYUCh. 4.3 - Prob. 108AYUCh. 4.3 - Prob. 109AYUCh. 4.3 - Prob. 110AYUCh. 4.3 - Prob. 111AYUCh. 4.3 - Prob. 112AYUCh. 4.3 - Prob. 113AYUCh. 4.3 - Prob. 114AYUCh. 4.3 - Prob. 115AYUCh. 4.3 - Prob. 116AYUCh. 4.3 - Prob. 117AYUCh. 4.3 - Prob. 118AYUCh. 4.3 - Prob. 119AYUCh. 4.4 - Prob. 1AYUCh. 4.4 - Prob. 2AYUCh. 4.4 - Prob. 3AYUCh. 4.4 - Prob. 4AYUCh. 4.4 - Prob. 5AYUCh. 4.4 - Prob. 6AYUCh. 4.4 - Prob. 7AYUCh. 4.4 - Prob. 8AYUCh. 4.4 - Prob. 9AYUCh. 4.4 - Prob. 10AYUCh. 4.4 - Prob. 11AYUCh. 4.4 - Prob. 12AYUCh. 4.4 - Prob. 13AYUCh. 4.4 - Prob. 14AYUCh. 4.4 - Prob. 15AYUCh. 4.4 - Prob. 16AYUCh. 4.4 - Prob. 17AYUCh. 4.4 - Prob. 18AYUCh. 4.4 - Prob. 19AYUCh. 4.4 - Prob. 20AYUCh. 4.4 - Prob. 21AYUCh. 4.4 - Prob. 22AYUCh. 4.4 - Prob. 23AYUCh. 4.4 - Prob. 24AYUCh. 4.4 - Prob. 25AYUCh. 4.4 - Prob. 26AYUCh. 4.4 - Prob. 27AYUCh. 4.4 - Prob. 28AYUCh. 4.4 - Prob. 29AYUCh. 4.4 - Prob. 30AYUCh. 4.4 - Prob. 31AYUCh. 4.4 - Prob. 32AYUCh. 4.4 - Prob. 33AYUCh. 4.4 - Prob. 34AYUCh. 4.4 - Prob. 35AYUCh. 4.4 - Prob. 36AYUCh. 4.4 - Prob. 37AYUCh. 4.5 - Prob. 1AYUCh. 4.5 - Prob. 2AYUCh. 4.5 - Prob. 3AYUCh. 4.5 - Prob. 4AYUCh. 4.5 - Prob. 5AYUCh. 4.5 - Prob. 6AYUCh. 4.5 - Prob. 7AYUCh. 4.5 - Prob. 8AYUCh. 4.5 - Prob. 9AYUCh. 4.5 - Prob. 10AYUCh. 4.5 - Prob. 11AYUCh. 4.5 - Prob. 12AYUCh. 4.5 - Prob. 13AYUCh. 4.5 - Prob. 14AYUCh. 4.5 - Prob. 15AYUCh. 4.5 - Prob. 16AYUCh. 4.5 - Prob. 17AYUCh. 4.5 - Prob. 18AYUCh. 4.5 - Prob. 19AYUCh. 4.5 - Prob. 20AYUCh. 4.5 - Prob. 21AYUCh. 4.5 - Prob. 22AYUCh. 4.5 - Prob. 23AYUCh. 4.5 - Prob. 24AYUCh. 4.5 - Prob. 25AYUCh. 4.5 - Prob. 26AYUCh. 4.5 - Prob. 27AYUCh. 4.5 - Prob. 28AYUCh. 4.5 - Prob. 29AYUCh. 4.5 - Prob. 30AYUCh. 4.5 - Prob. 31AYUCh. 4.5 - Prob. 32AYUCh. 4.5 - Prob. 33AYUCh. 4.5 - Prob. 34AYUCh. 4.5 - Prob. 35AYUCh. 4.5 - Prob. 36AYUCh. 4.5 - Prob. 37AYUCh. 4.5 - Prob. 38AYUCh. 4.5 - Prob. 39AYUCh. 4.5 - Prob. 40AYUCh. 4.5 - Prob. 41AYUCh. 4.5 - Prob. 42AYUCh. 4.5 - Prob. 43AYUCh. 4.5 - Prob. 44AYUCh. 4.5 - Prob. 45AYUCh. 4.5 - Prob. 46AYUCh. 4.5 - Prob. 47AYUCh. 4.5 - Prob. 48AYUCh. 4.5 - Prob. 49AYUCh. 4.5 - Prob. 50AYUCh. 4.5 - Prob. 51AYUCh. 4.5 - Prob. 52AYUCh. 4.5 - Prob. 53AYUCh. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CR
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