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P2.1.6 Suppose A E R×n is symmetric and nonsingular and define à = A + a(uu" + vv") + B(uv" + vu where u, v E R" and a, BE R. Assuming that A is nonsingular, use the Sherman-Morrison-Woodbury formula to develop a formula for A-1.

P2.1.6 Suppose A E R×n is symmetric and nonsingular and define à = A + a(uu" + vv") + B(uv" + vu where u, v E R" and a, BE R. Assuming that A is nonsingular, use the Sherman-Morrison-Woodbury formula to develop a formula for A-1.

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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P2.1.6 Suppose A E RXn is symmetric and nonsingular and define à = A + a(uu™ + vv") + B(uvT + vu") %3| where u, v E R and a, B E R. Assuming that A is nonsingular, use the Sherman-Morrison-Woodbury formula to develop a formula for A-1.
Transcribed Image Text:P2.1.6 Suppose A E RXn is symmetric and nonsingular and define à = A + a(uu™ + vv") + B(uvT + vu") %3| where u, v E R and a, B E R. Assuming that A is nonsingular, use the Sherman-Morrison-Woodbury formula to develop a formula for A-1.
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