. One might need to find solutions of Ax = b for several different b’s, say bị, ., bỵ. In this event, one can augment the matrix A with all the b’s simultaneously, forming the "multi-augmented" matrix [ A | b¡ b2 ·.. bị ]. One can then read off the various solutions from the reduced echelon form of the multi-augmented matrix. Use this method to solve Ax = b; for the given matrices A and vectors b;. 1 0 -1 a. A = 1 -1 bị b2 = | 3 2 2 1 b. A = 2 -1 bị = 1 b2 3 2 1 1 c. A = | 0 1 1 bị = b2 = b3 1 2 1 2.
. One might need to find solutions of Ax = b for several different b’s, say bị, ., bỵ. In this event, one can augment the matrix A with all the b’s simultaneously, forming the "multi-augmented" matrix [ A | b¡ b2 ·.. bị ]. One can then read off the various solutions from the reduced echelon form of the multi-augmented matrix. Use this method to solve Ax = b; for the given matrices A and vectors b;. 1 0 -1 a. A = 1 -1 bị b2 = | 3 2 2 1 b. A = 2 -1 bị = 1 b2 3 2 1 1 c. A = | 0 1 1 bị = b2 = b3 1 2 1 2.
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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Step 1
first we will reduce the multi augmented matrix into reduced echelon form (rref) then find the solution of systems AX=bi
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