Let V be the linear space of all functions in two variables of the form q(x\,x2) = ax\

Chapter 4, Problem 66

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Let V be the linear space of all functions in two variables of the form q(x\,x2) = ax\ +bx\xi + cx\ . Consider the linear transformationtv n df df T ( f ) = x 2-------*i dJf] ox 2from V to V. a. Find the matrix of T with respect to the basis jc2, X\X2, x\ of V. b. Find bases of the kernel and image of T.

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