POST LOGICAL SOLUTION OR NO POINTS AWARDED 1 2 1 point Find

**********POST LOGICAL SOLUTION OR NO POINTS AWARDED**********

1 2 (1 point) Find the singular values 1 > 2 of F1 _ Find unit vectors v1 and v2 such that llAvll = and | Avall = 2 Vi = V.

given matrix is

[ 1 -2]

[-2 1]

let this matrix be \'A\' then for to find singular values

A - Ix =0

so that means det of A- x =0

so we get (1-x) (1-x) - (-2) (-2) =0

(1-x)^2 = 4

this true when ( 1-x) = 2 or (1-x) =-2

so we get x = 3, 1

Singular values:
3.0000 1.0000

Matrix V1:
-0.7071 0.7071
0.7071 0.7071

Matrix V2:
-0.7071 -0.7071
0.7071 -0.7071