Suppose that V is a 3-dimensional real vector space and B = {(1, C2, C3} is a basis of V. Assume that o: V V is a linear

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Suppose That V Is A 3 Dimensional Real Vector Space And B 1 C2 C3 Is A Basis Of V Assume That O V V Is A Linear 1 (22.07 KiB) Viewed 19 times

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Suppose that V is a 3-dimensional real vector space and B = {(1, C2, C3} is a basis of V. Assume that o: V V is a linear map and that the matrix M(O) with respect to the basis B is equal to 0 1 2 1 2 3 3 4 5 There exists a unique linear map 124: 1²V + 12V with the property 12(U A w) = (v)$(w) for all v, W E V. (a) Give a basis of A’V and give the matrix of 120 with respect to this basis. (b) What is the rational canonical form of A?q?