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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

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# Dimensions of Matrices Range (equalities).

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