x – y + 2z = a, 2л — у + 42 %— b, х — 2у + 32 — с. - for x, y, z and express the solution as a linear combination of the columns of A-1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a)  Use elementary row operations to determine the inverse of A. (b) Use the inverse that you determined to solve the system

 

x – y + 2z = a,
2х — у + 42 %3Db,
x – 2y + 3z = c.
-
for x, y, z and express the solution as a linear combination of the columns of A-1.
Transcribed Image Text:x – y + 2z = a, 2х — у + 42 %3Db, x – 2y + 3z = c. - for x, y, z and express the solution as a linear combination of the columns of A-1.
Let A be the matrix
1
-1 2
А —
A =
2 -1 4
1
-2 3
Transcribed Image Text:Let A be the matrix 1 -1 2 А — A = 2 -1 4 1 -2 3
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