1.7.16 Linear Transformations

Condition: linear operator \ (\ hat {c} \) in space \ (\ mathbb {v} _ {3} \) there is a consistent application of linear operators \ (\ widehat {a} \) and \ (\ widehat {\ mathrm {b}} \). Find the matrices of operators \ (\ widehat {\ mathrm {a}}, \ widehat {\ mathrm {b}}, \ widehat {\ mathrm {c}} \) in the basis \ (i, j, k \). Will we turn the operator \ (\ HAT {C} \)? If so, then describe its geometric action. Operator \ (\ Widehat {\ Mathrm {a}} \) - Reflection relative to the plane \ (x o y \), operator \ (\ widehat {b} \) - homothes with coefficient \ (k = 2 \)