- #1
nekteo
- 9
- 0
prove that if ABC are nonsingular matrices,
A) (AB)[tex]^{T}[/tex] = B[tex]^{T}[/tex]A[tex]^{T}[/tex]
B) (ABC)[tex]^{-1}[/tex] = C[tex]^{-1}[/tex]B[tex]^{-1}[/tex]A[tex]^{-1}[/tex]
I attempted to solve it by creating a random matrices by my self and solved it, however, my teacher demand an answer without "creating" a new matrices by our self...
A) (AB)[tex]^{T}[/tex] = B[tex]^{T}[/tex]A[tex]^{T}[/tex]
B) (ABC)[tex]^{-1}[/tex] = C[tex]^{-1}[/tex]B[tex]^{-1}[/tex]A[tex]^{-1}[/tex]
I attempted to solve it by creating a random matrices by my self and solved it, however, my teacher demand an answer without "creating" a new matrices by our self...