5. Let B = (1,3), b₂ = (-3,1). /10 √10 (a) Specify the transition matrices Ps, and PB,S. {b₁,b2}, where b₁ = (b) For T the linear transformation corresponding to a reflection in the line y = 3x, specify [T] B.B.

2 [1], 0₂ = [1] · ₁ = [3], and y₂ = [¯ ] - 5 6 R² be a linear transformation that maps e₁ into y₁ and 19. Let e₁ = T: R² maps e2 into y2. Find the images of [3] -3 and [2]. x2 and let

Let T be a linear transformation from R2 into R2 such that T(1, 0) = (1, 1) and T(0, 1) = (-1, 1). Find T(7, 1) and T(1, -9). T(7, 1) = T(1, -9) = Need Help? Read It

5. Determine the matrix of the transformation that first reflects points through the horizontal x-axis and then reflects points through the line y = x.