Question

Determinati matricea X € M2 (R) pt care X +X•B=A Exercitiul 1, c) rog mult

Answer 1

X + X·B = A

X·(I_2+B) = A

I_2+B = (2 1 ) =: Y

(1 0)

X·Y = A

X = A·Y^{-1}

Y^{-1} = (0 1)

(1 -2)

X =(7 3) · (0 1) = (3 1)

(3 1) (1 -2) (1 1)