Question

find the range of x when (x²-2x+3) /(x²-4x+3) < -3​

Answer 1

Let T:R4 → R4 be the linear transformation T(X1, X2, X3, X4) = (x1 + 2x2 + 2x3 + x4, x2 + x4, -2x1 – 4x3 + 3x4, X1 + 2x3). a) Determine the matrix A such that T(x) = A x. b) Find a basis for the kernel, Ker(T), of T and determine its dimension. c) Find a basis for the range, Rng(T), of T and determine its dimension.

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