Where 'P' is a matrix and 'x' is a vector:
Px = the projection of x onto <1,1>. What is the the matrix P relative to the basis { <1, -1>, <1,1>}
I'm thought the answer was:
| 0 1 |
| 0 1 |
Because the projection of <1, -1> onto <1,1> is <0,0> and the projection of <1, 1> onto <1,1> is <1,1>, but my choices are
| 2 1 |
| 1 2 | - A
| 1/2 1/2 |
| 1/2 1/2 | - B
| 0 0 |
| 0 1 | - C
and
| 1 0 |
| 0 0 | - D
---
| a d |
| b c | is the matrix for T relative to the standard basis. What is the matrix for T relative to the basis {<0, -1>, <1, 0>}
I'm completely stumped on this one. Even if someone could just nudge me in the right direction i would be appreciative... Thanks!
2007-11-06
08:31:02
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