- #1
GoodSpirit
- 18
- 0
Hello everyone,
I’d like to find the following range equalities:
Considering the following:
[tex]
A=B+C \\
A=B.C^T \\
A=[ B^T C^T ]^T
[/tex]
I would like to find the function f for each equality above.
[tex]
.\\
dim( R(A) ) = f( R(B) , R(C) )\\
[/tex]
Considere that all matrices have compatible dimensions.
R(X) function means range of the column space expressed in the matrix X.
Can you help me?
I sincerely thank you!
All the best
GoodSpirit
I’d like to find the following range equalities:
Considering the following:
[tex]
A=B+C \\
A=B.C^T \\
A=[ B^T C^T ]^T
[/tex]
I would like to find the function f for each equality above.
[tex]
.\\
dim( R(A) ) = f( R(B) , R(C) )\\
[/tex]
Considere that all matrices have compatible dimensions.
R(X) function means range of the column space expressed in the matrix X.
Can you help me?
I sincerely thank you!
All the best
GoodSpirit