Q1 Suppose that the augmented matrix of a linear system in variables a, y and z has been partially reduced through elementary row operations to the following form: 1 1-g 1+h għ? 1 -29 1 1-9 g+h+13+h+gh2 2h Find all values of g and h for which the system: a) is inconsistent. b) has a unique solution. c) has infinitely many solutions.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 65E
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Q1
Suppose that the augmented matrix of a linear system in variables r, y and z has been partially reduced through
elementary row operations to the following form:
1 1-g
0 1
LE)
1+h
gh?
-29
2h
1 1-g g+h +1 3+h + gh2
Find all values of g and h for which the system:
a)
is inconsistent.
b)
has a unique solution.
c)
has infinitely many solutions.
Transcribed Image Text:Q1 Suppose that the augmented matrix of a linear system in variables r, y and z has been partially reduced through elementary row operations to the following form: 1 1-g 0 1 LE) 1+h gh? -29 2h 1 1-g g+h +1 3+h + gh2 Find all values of g and h for which the system: a) is inconsistent. b) has a unique solution. c) has infinitely many solutions.
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