
1.7 Linear Transformations
Condition: let \ (\ widehat {\ mathrm {a} x = \ left (x_ {2} -x_ {3}, x_ {1}, x_}+x_ {3} \ right) \), \ (b}}}}}}}}}}}}}} x = \ left (x_ {2}, 2 x_ {3}, x_ {1} \ right) \) linear operators in space \ (\ mathbb {r}^{3} \). Find: \ (\ left (\ widehat {\ mathrm {a}}+\ widehat {\ mathrm {b}}^{2} \ right) x \).
Linear Transformations of Matrices in the Transition Between Bases, Coordinates of Vectors and Linear Operators.