Define a function T R^3 rightarrow R^2 by T(x, y,Define a function T R^3 rightarrow R^2 by T(x, y, z) = (x + y + z, x + 2y – 3z). Show chat T is a linear transformation. Find all vectors in the kernel of T. Show that T is onto. Find the matrix representation of T relative to the standard basis of R^3 and R^2. Show transcribed image text