Which of the following matrix performs the linear transformation: "Horizontal Shear with factor 2" 1 1/2 a. b. C. d. 1 2 [12] [1/2 i] [29]

Find the standard matrix of each of the following linear transformations. (a) T: R² R², which reflects each point in R² across the line x₁ = 0 (i.e. the 22-axis) - -> (b) S: R² R², which rotates each point in R² clockwise by 90° and then dilates it by a factor of 7 (c) P: R³ R³, which projects each point in R³ onto the plane z₁ = 0 (i.c. the 2x3-plane)