Consider the matrix A = A. Verify that the matrix B: = I. 2 1 = = B. Use this fact to solve the following system of linear equations. 2x13x2 + x3 x1 + x₂ x3 -x₁ + x₂ 3x3 2, -3 1 1 1 -1 -3 1/7] 4/7 -1/7 -2/7 5/14 -3/14 is the inverse of matrix A. −1/7 −1/14 −5/14] -1, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the matrix A
-
A. Verify that the matrix B
I.
=
2
=
-1
-3
1
1
B. Use this fact to solve the following system of linear equations.
2x1
3x₂ + x3
x1 + x₂ - X3
-x₁ + x₂ − 3x3 = 0
1
-1
-3
1/7]
4/7
-2/7 5/14
-1/7 -1/14 -5/14_
2,
: -1,
-1/7
-3/14 is the inverse of matrix A.
Transcribed Image Text:Consider the matrix A - A. Verify that the matrix B I. = 2 = -1 -3 1 1 B. Use this fact to solve the following system of linear equations. 2x1 3x₂ + x3 x1 + x₂ - X3 -x₁ + x₂ − 3x3 = 0 1 -1 -3 1/7] 4/7 -2/7 5/14 -1/7 -1/14 -5/14_ 2, : -1, -1/7 -3/14 is the inverse of matrix A.
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