Let V be the space of all upper triangular 2x2 matrices. Consider the linear
Chapter 4, Problem 64(choose chapter or problem)
Let V be the space of all upper triangular 2x2 matrices. Consider the linear transformation'-3" i"-T ii 0_ i la b 0 c= aI2 + bP +cP2from V to V, where P =a. Find the matrix A of T with respect to the basis - (91o0 1 0 01 ------------------------------------------------------------------------oo1* 0 0 0 121 12 and P =a b 2^ -1 J c db. Find bases of the image and kernel of 7\ and thus determine the rank of T.
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