1) Yes! Swapping is the same as right-multiplying by a permutation matrix (P) that is the identity matrix with the corresponding columns swapped.pic.twitter.com/3fPNEgBucV
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1) Yes! Swapping is the same as right-multiplying by a permutation matrix (P) that is the identity matrix with the corresponding columns swapped.pic.twitter.com/3fPNEgBucV
2) Now: (MP)⁻¹= P⁻¹M⁻¹. If we apply the same permutation P twice we get the original matrix and so P is its own inverse (P⁻¹=P) and left-multiplying by P swaps the rows of M⁻¹ that are swapped in P.
MATRIX = MAGIC and the backbone of Mathematics .
Exactly!!!
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