Consider the following. ,B = the standard basis, c -{: }[: 8181) in M22- A =...

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Consider the following. ,B = the standard basis, c -{: }[: 8181) in M22- A = (a) Find the coordinate vectors [A] and [A] of A with respect to the bases B and c, respectively. 18 [2 (A), -1 5/2 3 (b) Find the change-of-basis matrix P from 8 to c. 1/2 10 -1 12 -1 1 3/2 -1 2 1/2 (c) Use your answer to part (b) to compute [A] and compare your answer with the one found in part (a). (d) Find the change-of-basis matrixP from c to 8. (e) Use your answers to parts (c) and (d) to compute [A]and compare your answer with the one found in part (a). 000 Consider the following. ,B = the standard basis, c -{: }[: 8181) in M22- A = (a) Find the coordinate vectors [A] and [A] of A with respect to the bases B and c, respectively. 18 [2 (A), -1 5/2 3 (b) Find the change-of-basis matrix P from 8 to c. 1/2 10 -1 12 -1 1 3/2 -1 2 1/2 (c) Use your answer to part (b) to compute [A] and compare your answer with the one found in part (a). (d) Find the change-of-basis matrixP from c to 8. (e) Use your answers to parts (c) and (d) to compute [A]and compare your answer with the one found in part (a). 000