Solve the following system using augmented matrix methods: -5x1 +5x2+5x3 = -5 3x1+1x23x3 = -21 -15x15x2 +15x3 = 107 (a) The initial matrix is: (b) First, perform the Row Operation R₁ → R1. The resulting matrix is: [88818] (c) Next, perform the operations -3R1 R2 R2 +15R1 R3 R3. The resulting matrix is: (d) Finish simplifying the augmented matrix down to reduced row echelon form. The reduced matrix is: Each graph below is the graph of a system of three linear equations in three unknowns. Determine which systems are consistent and inconsistent. B. A. choose choose C. choose F. choose E. choose D. choose G. choose H. choose 1. choose

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 33E
Question

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Solve the following system using augmented matrix methods:
-5x1 +5x2+5x3 = -5
3x1+1x23x3 = -21
-15x15x2 +15x3 = 107
(a) The initial matrix is:
(b) First, perform the Row Operation R₁ → R1. The resulting matrix is:
[88818]
(c) Next, perform the operations
-3R1 R2 R2
+15R1 R3 R3.
The resulting matrix is:
(d) Finish simplifying the augmented matrix down to reduced row echelon form. The reduced matrix is:
Transcribed Image Text:Solve the following system using augmented matrix methods: -5x1 +5x2+5x3 = -5 3x1+1x23x3 = -21 -15x15x2 +15x3 = 107 (a) The initial matrix is: (b) First, perform the Row Operation R₁ → R1. The resulting matrix is: [88818] (c) Next, perform the operations -3R1 R2 R2 +15R1 R3 R3. The resulting matrix is: (d) Finish simplifying the augmented matrix down to reduced row echelon form. The reduced matrix is:
Each graph below is the graph of a system of three linear equations in three unknowns. Determine which systems are consistent and inconsistent.
B.
A. choose
choose
C. choose
F. choose
E. choose
D. choose
G. choose
H. choose
1. choose
Transcribed Image Text:Each graph below is the graph of a system of three linear equations in three unknowns. Determine which systems are consistent and inconsistent. B. A. choose choose C. choose F. choose E. choose D. choose G. choose H. choose 1. choose
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