as4hracieReranaca as4hracieReranaca
  • 21-11-2016
  • Mathematics
contestada

Assuming that all matrices are n x n and invertible, solve for D .

C B (A^T) D B (C^T) A = C B^T

Respuesta :

syed514
syed514 syed514
  • 21-11-2016
First multiply by C inverse on the leftC−1CBATDBCTA=C−1CB?
Yielding:BATDBCTA=BT

Then Multiply by B inverse and A transpose inverse on the left yielding
DBCTA=B−1A−TBT

Now, multiply by B inverse, C transpose inverse and A inverse on the right
D=B−1A−TBTB−1C−TA−1
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