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Find the kernel of the linear transformation. (If all real numbers are solutions, enter REALS.) T: P5 - R, T(ap + ax + azx2 + agx# + a4x# + agx ) = ap ker (7) = : 21 221 231 241 25 ER X Need Help? Read It Watch It Submit Answer /1 Points] DETAILS LARLINALG8 6.2.009. Find the kernel of the linear transformation. (If all real numbers are solutions, enter REALS.) T: R2 - R2, T( x, V) = (x + y, 3y -x) ker (T) = : X, VER Need Help? Read It Watch It 1/2 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 6.2.013. Define the linear transformation 7 by 7(x) = Ax. A = 1 -1 7 (a) Find the kernel of 7. (If there are an infinite number of solutions use t as your parameter.) ker (7) = x (b) Find the range of T. OR O {(-t, t): t is any real number} O R2 O {(7t, t): t is any real number} O {(t, 7t): t is any real number }Suppose A is the matrix for 7: RS - R* relative to the standard basis. Find the diagonal matrix A' for 7 relative to the basis B'. A= 2 NON NH NUNUNU -2 B' = {(1, 1, -1), (1, -1, 1), (-1, 1, 1)} -2 2 IL T