How to calculate the value of the vector A in equation AXA' = b?

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If I have
A*X*A' = b;
where:
A is a (1x2) unknown vector whose elements must be integers
A' is the transpose of A,
X is a (2x2) diagonal matrix (given)
b is a given scaler value.
How can I calculate the value of vector A?

Accepted Answer

KSSV
KSSV on 25 Nov 2020
Edited: KSSV on 25 Nov 2020
syms x y
A = [x y] ;
X = rand(2) ;
b = rand ;
eqn1 = A*X*X'- b ==0
s = solve(eqn1,x,y) ;
x = double(s.x)
y = double(s.y)
  5 Comments
KSSV
KSSV on 25 Nov 2020
Hey please check the answer properly.....and see does it fit your requirement?

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