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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