Unformatted text preview: † indicates an adjoint matrix (transpose plus complex con-jugation). The proof is simpler than the one above. Because the complex conjugate ( ∗ ) of a product is the product of the complex conjugates, we can immediately write B † A † = ( B T ) ∗ ( A T ) ∗ = ( B T A T ) ∗ . (8) Now use the theorem just proven above to rewrite Eq.(8) further as B † A † = ( B T A T ) ∗ = (( AB ) T ) ∗ = ( AB ) † , (9) which is the desired result. 1...
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- Fall '10
- mechanics, Conjugate transpose, B A, Aik Bkj, Matrix Transpose