In Exercises 21-38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. { x − 3 z = − 2 2 x + 2 y + z = 4 3 x + y − 2 z = 5
In Exercises 21-38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. { x − 3 z = − 2 2 x + 2 y + z = 4 3 x + y − 2 z = 5
Solution Summary: The author describes the Gauss-Jordan method used to solve the system of linear equations by turning the augmented matrix in row echelon form.
1) Express these large and small numbers from the Read and Study section in scientific
notation:
(a) 239,000 miles
(b) 3,800,000,000,000 sheets of paper
(c) 0.0000000000000000000000167 grams
2) Find all values for the variable x that make these equations true.
(a) 5x = 1
(b) 3x = 1/1
9
(c) 4* = 11/
4
(e) 4* = 64
(g) 10x = 1,000,000
(d) 3x=-3
(f) 2x =
=
8
(h) 10x = 0.001
(b)
4) Find an equation to fit each of the following graphs:
(a)
20
20
18
16
14
12
10
8
6
4
2
24
22
20
18
16
14
12
10
8
16
A
2
-3 -2
-1-0
2
3
4.
-1
0
1
2
3.
-2
-2
3) Which of the following are equivalent to 3? (There may be more than one that is
equivalent!)
-1
(a) (9)¯¹
3.
(b) (-3)-1
(c) (-3)
-1
(d) -(¯3)
(e) 11
3-1
(f) 3-4
Chapter 9 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Algebra and Trigonometry (6th Edition)
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