- #1
daviddoria
- 97
- 0
Every book I've seen starts out with "to find the transpose, make B_ij = A_ji . However, they don't explain exactly why would would want to do this.
Ie. they tell you the inverse is useful because if you have Ax = b, you can find x by writing b = A^{-1} x.
The only thing I can think of to do with the transpose is visualize the row space by plotting A^T x where x is a bunch of vectors from a unit circle.
Does anyone have anything better to say about transposes?
Thanks,
Dave
Ie. they tell you the inverse is useful because if you have Ax = b, you can find x by writing b = A^{-1} x.
The only thing I can think of to do with the transpose is visualize the row space by plotting A^T x where x is a bunch of vectors from a unit circle.
Does anyone have anything better to say about transposes?
Thanks,
Dave