6. Let A be a 3 x 4 matrix. Suppose that x1 = 1, x2 = 0, x3 = -1, x4 = 0 is a solution to a non-homogeneous linear system Ax = b and that the homogeneous system Ax = 0 has a general solution x1 = t – 2s, x2 = 8+t, x3 = 8, x4 =t where s,t are arbitrary parameters. %3D (a) Find a general solution for the system Ax = b. (b) Write down the reduced row-echelon form of A. (c) Do we have enough information to find the matrix A?
6. Let A be a 3 x 4 matrix. Suppose that x1 = 1, x2 = 0, x3 = -1, x4 = 0 is a solution to a non-homogeneous linear system Ax = b and that the homogeneous system Ax = 0 has a general solution x1 = t – 2s, x2 = 8+t, x3 = 8, x4 =t where s,t are arbitrary parameters. %3D (a) Find a general solution for the system Ax = b. (b) Write down the reduced row-echelon form of A. (c) Do we have enough information to find the matrix A?
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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plz solve all the three question with explanation step by step within 30-40 min.
Transcribed Image Text:6. Let A be a 3 x 4 matrix. Suppose that x1 = 1, x2 = 0, x3 = -1, x4 = 0 is a
solution to a non-homogeneous linear system Ax = b and that the homogeneous
system Ax = 0 has a general solution x1 = t – 2s, x2 = s+t, x3 = s, x4 =t where
8, t are arbitrary parameters.
%3D
(a) Find a general solution for the system Ax = b.
(b) Write down the reduced row-echelon form of A.
(c) Do we have enough information to find the matrix A?
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