Intermediate Algebra, Books a la Carte Edition, Plus MyLab Math -- Access Card Package (13th Edition)
13th Edition
ISBN: 9780134679884
Author: Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson
Publisher: PEARSON
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Chapter R.1, Problem 3DE
(a)
To determine
The natural numbers from the provided numbers.
(b)
To determine
The whole numbers from the provided numbers.
(c)
To determine
The integer numbers from the provided numbers.
(d)
To determine
The irrational numbers from the provided numbers.
(e)
To determine
The rational numbers from the provided numbers.
(f)
To determine
The real numbers from the provided numbers.
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a
Question 7. If det d e f
ghi
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-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
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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 R.1 Solutions
Intermediate Algebra, Books a la Carte Edition, Plus MyLab Math -- Access Card Package (13th Edition)
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