Course Solutions Uncategorized (Solved) : 6 Use 1 Z 2 Basis P4 1 Z A2 Basis Ps Consider Linear Transfor Write Matrix Representingby Q33063616 . . . .

(Solved) : 6 Use 1 Z 2 Basis P4 1 Z A2 Basis Ps Consider Linear Transfor Write Matrix Representingby Q33063616 . . . .

 

6. We will use 1,z,2, as basis for P4, and 1, z, a2 as basis for Ps. Consider the linear transfor- (a) Write down the matrix A representingby ollowing the instruction given above. (b) Find the coordinate representation of f(x) -22+3r+7in P4 with respect to the basis(1,, (e) For the same() art (b) calculat using calculus. Find the coordinate representation of in (d) Make sure that your results for parts (b) and (c) match. If not, figure out where you made a mistake (e) Calculate the derivative of g(x) (a -))+7 in two ways, using calculus and using the Calculate the product of your matrix A with this coordinate representation of f. in Ps with respect to the basis1, r, r2 and try again. matrix A from part (a). Verify that you get the same result.

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