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11 Nov 2019
Let T R^3 rightarrow P_2 be the linear transformation defined as T(a, b, c) = (a - b) + (b - c)x + (c - a)x^2 Find a basis for Range (T), i.e. image of T Find a basis for Ker(T). Find the matrix of T with respect to the standard bases of R^3 and P_2. Verify the Dimension Theorem for T.
Let T R^3 rightarrow P_2 be the linear transformation defined as T(a, b, c) = (a - b) + (b - c)x + (c - a)x^2 Find a basis for Range (T), i.e. image of T Find a basis for Ker(T). Find the matrix of T with respect to the standard bases of R^3 and P_2. Verify the Dimension Theorem for T.
Reid WolffLv2
19 Feb 2019