Consider the following system. 2x – y+ 2z = 5 x – y+ 3z = 1 x + 2y + 4z = 6 10 1 2 -1 2 13 13 6 13 4 Given that the inverse of 1 -1 3 is equal to which of the 13 13 2 4 13 13 13 following gives a solution to the above system? 10 3 10 8 1 5 5 13 4 13 13 13 6. 13 5 (а) 13 1 3 6 13 13 13 13 13 13 1 10 3 10 8 1 13 13 6 13 13 13 6. 13 4 5 (c) (d) 1 13 1 13 4 13 1 13 3 13 5 13 1 6 13 13 13 13 13 13 (e) none of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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The ans is b. 

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Consider the following system.
2x – y + 2z = 5
x – y + 3z = 1
x + 2y + 4z = 6
10
1
2
1
13
13
13
4
Given that the inverse of
1
1
3
is equal to
which of the
13
3
13
13
1
1
2
4
13
13
13
following gives a solution to the above system?
10
3
10
1
13
5
13
13
13
6
13
4
8
6.
(а)
(b)
6.
1
13
1
13
13
13
3
13
13
1
1
6.
13
13
13
13
13
13
10
3
10
13
8
13
13
5
13
13
13
4
(c)
(d)
1
13
13
4
13
1
13
3
13
13
1
6.
6.
13
13
13
13
13
13
(e) none of the above
Transcribed Image Text:Consider the following system. 2x – y + 2z = 5 x – y + 3z = 1 x + 2y + 4z = 6 10 1 2 1 13 13 13 4 Given that the inverse of 1 1 3 is equal to which of the 13 3 13 13 1 1 2 4 13 13 13 following gives a solution to the above system? 10 3 10 1 13 5 13 13 13 6 13 4 8 6. (а) (b) 6. 1 13 1 13 13 13 3 13 13 1 1 6. 13 13 13 13 13 13 10 3 10 13 8 13 13 5 13 13 13 4 (c) (d) 1 13 13 4 13 1 13 3 13 13 1 6. 6. 13 13 13 13 13 13 (e) none of the above
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