In Exercises 1-10, assume that T is a linear transformation. Find the standard matrix of T. 1. T: R² →→ R¹, T(e₁) = (2, 1, 2, 1) and T(e₂) (-5, 2, 0, 0), where e₁ = = (1, 0) and e2 = (0, 1).

Let Find the matrix C of the linear transformation T(x) = B(A(x)). A = and B:

Let T : R? → R² be the linear transformation that first reflects points through the x-axis and then reflects points through the line y = -x. Find the matrix A that induces T. A :

Consider the following. T is the reflection through the origin in R²: T(x, y) = (-x, -y), v = (4, 5). (a) Find the standard matrix A for the linear transformation T. A = (b) Use A to find the image of the vector v. T(v) =