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Solve the following system using augmented matrix methods: -3x1 - læ2 + 5x3 = -32 -3x1 + læ2 – læ3 = -20 -9x1 + 3x2 - 3x3 = -58 (a) The initial matrix is: (b) First, perform the Row Operation R, → R1. The resulting matrix is:

Solve the following system using augmented matrix methods: -3x1 - læ2 + 5x3 = -32 -3x1 + læ2 – læ3 = -20 -9x1 + 3x2 - 3x3 = -58 (a) The initial matrix is: (b) First, perform the Row Operation R, → R1. The resulting matrix is:

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The resulting matrix is: (d) Finish simplifying the augmented matrix down to reduced row echelon form. The reduced matrix is: Remember: This matrix must be simplified all the way to reduced form. (e) How many solutions does the system have? If infinitely many, enter "Infinity". If none, enter 0. (f) What are the solutions of the system? x2 = x3 = Note: In part (f), if there are no solutions, write "No Solution" or "None" in the answer blank after each equal sign. If there are infinitely many solutions, and the solution set describes a line (that is, if there is only one free variable), set x2 = t and solve for the remaining variables in terms of t. If there are infinitely many solutions, and the solution set describes a plane (that is, if the solution set has two free variables), set the variables x3 =t and x2 = s, and then solve for x1 in terms of s and t.
Transcribed Image Text:The resulting matrix is: (d) Finish simplifying the augmented matrix down to reduced row echelon form. The reduced matrix is: Remember: This matrix must be simplified all the way to reduced form. (e) How many solutions does the system have? If infinitely many, enter "Infinity". If none, enter 0. (f) What are the solutions of the system? x2 = x3 = Note: In part (f), if there are no solutions, write "No Solution" or "None" in the answer blank after each equal sign. If there are infinitely many solutions, and the solution set describes a line (that is, if there is only one free variable), set x2 = t and solve for the remaining variables in terms of t. If there are infinitely many solutions, and the solution set describes a plane (that is, if the solution set has two free variables), set the variables x3 =t and x2 = s, and then solve for x1 in terms of s and t.
Solve the following system using augmented matrix methods: — За, — 1х, + 5x3 — — 32 -3x1 + lx2 – lx3 = -20 — 9х1 + Зӕ2 —3х3 — — 58 (a) The initial matrix is: (b) First, perform the Row Operation R1 + R1. The resulting matrix is: (c) Next, perform the operations +3R1 + R2 → R2 +9R1 + R3 → R3.
Transcribed Image Text:Solve the following system using augmented matrix methods: — За, — 1х, + 5x3 — — 32 -3x1 + lx2 – lx3 = -20 — 9х1 + Зӕ2 —3х3 — — 58 (a) The initial matrix is: (b) First, perform the Row Operation R1 + R1. The resulting matrix is: (c) Next, perform the operations +3R1 + R2 → R2 +9R1 + R3 → R3.
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