a) Use the inverse of a matrix to solve the linear system:X1 - X2 - x3 = 5X2 + x3 = -1 .(x — 2х2 — Хз — 2a2аз2аз2a22a1b1 – a1b) Let b1 b2 b3|C1b2 - a2|c3 + 3b3 C2 + 3b2 C1 + 3b1-4. Find b3аз|C2C3

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a) Use the inverse of a matrix to solve the linear system: X1 - X2 - X3 = 5 X2 + x3 = -1 . (x1-2x2 - x3 = 2 2a3 2a2 2a1 |a1 a2 a3 b2 - a2 b1 - a1 b) Let b b2 b3 |C1 -4. Find | b3 - a3 C3 |C3 + 3b3 C2 + 3b2 C1 + 3b1 C2

a) Use the inverse of a matrix to solve the linear system: X1 - X2 - X3 = 5 X2 + x3 = -1 . (x1-2x2 - x3 = 2 2a3 2a2 2a1 |a1 a2 a3 b2 - a2 b1 - a1 b) Let b b2 b3 |C1 -4. Find | b3 - a3 C3 |C3 + 3b3 C2 + 3b2 C1 + 3b1 C2

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Matrices And Determinants

Section7.3: The Inverse Of A Square Matrix

Problem 5ECP

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Question

a) Use the inverse of a matrix to solve the linear system:
X1 - X2 - x3 = 5
X2 + x3 = -1 .
(x — 2х2 — Хз — 2
a2
аз
2аз
2a2
2a1
b1 – a1
b) Let b1 b2 b3
|C1
b2 - a2
|c3 + 3b3 C2 + 3b2 C1 + 3b1
-4. Find b3
аз
|
C2
C3

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