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bluehorse402Lv1
6 Nov 2019
T: R^2[x] rightarrow M_2 times 2 (R) is a linear transformation and is given by T(a + bx + cx^2) = (a a + b a + b + c 3a + 2b + c). Find the matrix of T with respect to the standard bases S_R_2[x] = (1, x, x^2) S_M_2 times 2 (R) = ((1 0 0 0), (0 1 0 0), (0 0 1 0), (0 0 0 1)). Show transcribed image text
T: R^2[x] rightarrow M_2 times 2 (R) is a linear transformation and is given by T(a + bx + cx^2) = (a a + b a + b + c 3a + 2b + c). Find the matrix of T with respect to the standard bases S_R_2[x] = (1, x, x^2) S_M_2 times 2 (R) = ((1 0 0 0), (0 1 0 0), (0 0 1 0), (0 0 0 1)).
Show transcribed image text Casey DurganLv2
4 May 2019