Question

Who here can help me with linear Algebra?

Answer 1

what is this algebra you speak of?

Answer 2

Matrices !

Answer 3

Can someone explain to me the rank theorem.

Answer 4

theres a thrm? rank = colA = rowA

Answer 5

Can you prove that?

Answer 6

sure, open the book to page 43

Answer 7

@amistre64 Dont post if you don't know how to do it,

Answer 8

why not? you did ...

Answer 9

pg 265 .... definition: rank of A is the dimension of the column space of A

Answer 10

The rank-nullity theorem states that the rank of a matrix A plus the dimension of the null space of A is the number of columns in A. I.e. rankA + dimNulA = n where n is the number of columns in A. Have you learned about pivot columns and echelon forms yet? If yes, the proof for this theorem will logically follow.