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Moving to a 4 by 4 difference equation Ax = b, find the four components x1, x2, x3, x4. Then write this solution as x = A-¹b to find the inverse matrix : Ax = 1 -1 0 0 0 0 1 0 1 0 0 0 0 -1 1 -1 X1 x2 X3 X4 = b₁ b2 b3 b4 = b.

Moving to a 4 by 4 difference equation Ax = b, find the four components x1, x2, x3, x4. Then write this solution as x = A-¹b to find the inverse matrix : Ax = 1 -1 0 0 0 0 1 0 1 0 0 0 0 -1 1 -1 X1 x2 X3 X4 = b₁ b2 b3 b4 = b.

Advanced Engineering Mathematics
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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Moving to a 4 by 4 difference equation Ax = b, find the four components x1, x2, x3, x4. Then write this solution as x = A-¹b to find the inverse matrix : Ax = 1 -1 0 0 0 0 1 0 1 0 0 0 0 -1 1 -1 X1 x2 X3 X4 = b₁ b2 b3 b4 = b.
Transcribed Image Text:Moving to a 4 by 4 difference equation Ax = b, find the four components x1, x2, x3, x4. Then write this solution as x = A-¹b to find the inverse matrix : Ax = 1 -1 0 0 0 0 1 0 1 0 0 0 0 -1 1 -1 X1 x2 X3 X4 = b₁ b2 b3 b4 = b.
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