defined by Let Let ƒ : R² → R² be the linear transformation IGB B с f(x) = = = 3 2 -2 - -3 x. {(-1,2), (3,-7)}, {(-1, -2), (3, 7)}, be two different bases for R². Find the matrix [f] for f relative to the basis B in the domain and C in the codomain.

Show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1, X2, ... are not vectors but are entries in vectors. T(X1,X2.X3) = (X1 - 8x2 + 7x3, X2 - 3x3) A = (Type an integer or decimal for each matrix element.)

Let Let f: R² R2 be the linear transformation defined by [f]g = f(x) = {(-1,2), (2,-5)}, {(-1,2), (-1,3)}, be two different bases for R 2. Find the matrix [f] for f relative to the basis in the domain and in the codomain. = -5 5 -5 =

Let T be the linear transformation defined by T(x, y) = (-9y,4x + y, 5y – 8x, 2y – 7x). Find its associated matrix A. A =