€ R* and rk(A) = n-1. Let ve Rn be such that || v ||= 1 and )= sp{v}, where "sp" denotes the linear span. Show that AA¹ = I - vv.
€ R* and rk(A) = n-1. Let ve Rn be such that || v ||= 1 and )= sp{v}, where "sp" denotes the linear span. Show that AA¹ = I - vv.
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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matrix analysis practice question,Please write the simplest answer process,thanks
Transcribed Image Text:5. Let A € R* and rk(A) = n-1. Let v ER" be such that || v ||= 1 and
N(AT)= sp{v}, where "sp" denotes the linear span. Show that
AA¹ = I - vv.
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