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Below You are given a matrix A as well as the reduced row - echelon form R of A: A = 5 1 1 2 3 O 3 0 4 3 -12 64 4 -3 -2 4 3 R = 10 0 0-3 a) Consider the linear system whose augmented matrix is A. Give the solution (s) of this linear system. If nore exist, Simply state Inconsistent. 5) Consider the homogeneous linear System Ax=0 whose coefficient matrix is the matrix A. Give the solution (s) of this linear System. If nore exist, simply state Inconsistent.

Below You are given a matrix A as well as the reduced row - echelon form R of A: A = 5 1 1 2 3 O 3 0 4 3 -12 64 4 -3 -2 4 3 R = 10 0 0-3 a) Consider the linear system whose augmented matrix is A. Give the solution (s) of this linear system. If nore exist, Simply state Inconsistent. 5) Consider the homogeneous linear System Ax=0 whose coefficient matrix is the matrix A. Give the solution (s) of this linear System. If nore exist, simply state Inconsistent.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Below you are given a matrix A as well as the reduced row - echelon form R of A: A = 5 3 O 1 O 4 644 -3 -2 4 2 3 3 -12 -6 3 R=110 01 0 6 0 0 0 0 -3 0 0 O O O a) Consider the linear system whose augmented matrix is A. Give the solution (s) of this linear system. If nore exist, Simply state Inconsistent, b) Consider the homogeneous linear system Ax=0 whose coefficient matrix is the matrix A. Give the solution (s) of this linear System. If nore exist, simply state Inconsistent.
Transcribed Image Text:Below you are given a matrix A as well as the reduced row - echelon form R of A: A = 5 3 O 1 O 4 644 -3 -2 4 2 3 3 -12 -6 3 R=110 01 0 6 0 0 0 0 -3 0 0 O O O a) Consider the linear system whose augmented matrix is A. Give the solution (s) of this linear system. If nore exist, Simply state Inconsistent, b) Consider the homogeneous linear system Ax=0 whose coefficient matrix is the matrix A. Give the solution (s) of this linear System. If nore exist, simply state Inconsistent.
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