Question

(1 point) Let B be the basis of R2 consisting of the vectors and let C be the basis consisting of Find a matrix P such that c
0 0
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Answer #1

P is the change of basis matrix from the ordered basis B to the ordered basis C.

Let M = [C|B] =

2

-3

5

2

-1

2

-2

5

To determine P, we have to reduce M to its RREF which is

1

0

4

19

0

1

1

12

Hence P =

4

19

1

12

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