Please help me find the proof on this matrix equivalence theorem.
Two mxn matrices A and B are equivalent if and only if B=PAQ for some nonsingular matrices P and Q.
2007-08-14 19:43:22 · 3 answers · asked by zp33 1 in Science & Mathematics ➔ Mathematics
As far as I can remember, B is derived from A and has the form of [10000;01000;00000;00000] if it's a 4x5 matrix.
2007-08-15 21:28:45 · update #1
check this out:
http://www.maths.abdn.ac.uk/~igc/tch/mx3503/notes/node34.html
http://delta.cs.cinvestav.mx/~mcintosh/comun/algebra/node31.html
http://www.cs.uaf.edu/~chappell/math314/outlines/out_0203.pdf
you should be able to find the proof in one of this links or in your textbook
good luck!
2007-08-18 15:27:39 · answer #1 · answered by georgina 6 · 0⤊ 0⤋
Please state the definition of equivalent matrices. It sounds like you have stated the definition and asked for a proof.
2007-08-15 17:17:14 · answer #2 · answered by Tony 7 · 0⤊ 0⤋
try it your self
2007-08-15 03:56:46 · answer #3 · answered by sanjeewa 4 · 1⤊ 0⤋