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11 Nov 2019
Let T R^3 rightarrow R^3 be the linear operator defined as T(x, y, z) = (x + y + z, x + y - z, x - y - z) Find the matrix A = [T]_B of T relative to the standard basis B of R Decide whether A is invertible and if so find A^-1. Determine the kernel and image of T Determine whether T is injective (i.e. 1-1) and whether T is surjective (i.e. onto)
Let T R^3 rightarrow R^3 be the linear operator defined as T(x, y, z) = (x + y + z, x + y - z, x - y - z) Find the matrix A = [T]_B of T relative to the standard basis B of R Decide whether A is invertible and if so find A^-1. Determine the kernel and image of T Determine whether T is injective (i.e. 1-1) and whether T is surjective (i.e. onto)
Irving HeathcoteLv2
13 Jul 2019