Q-3) Consider a rank-1 perturbation of the unit matrix
I
, that is a matrix
A
of the form
A=I uv^(T)
with
u,vinR^(n)
non zero colum vectors a) Show that if A is nonsingular, its inverse has the form
A^(-1)=I xuv^(T)
; find
x
. b) For which
u
and
v
is the matrix
A
is singular?

Question

Q-3) Consider a rank-1 perturbation of the unit matrix

I

, that is a matrix

A

of the form

A=I uv^(T)

with

u,vinR^(n)

non zero colum vectors a) Show that if A is nonsingular, its inverse has the form

A^(-1)=I xuv^(T)

; find

x

. b) For which

u

and

v

is the matrix

A

is singular?

Accepted Answer

Expert Answer to - Q-3) Consider a rank-1 perturbation of the unit matrix I, that is a matrix A of the form A=I uv^(T)

Answer

Solution for - Q-3) Consider a rank-1 perturbation of the unit matrix I, that is a matrix A of the form A=I uv^(T)

Answer

This an additional answer to - Q-3) Consider a rank-1 perturbation of the unit matrix I, that is a matrix A of the form A=I uv^(T)

(Solved): Q-3) Consider a rank-1 perturbation of the unit matrix I, that is a matrix A of the form A=I uv^(T) ...