We have a variety of theorems about how to create column spaces and row spaces and they

Question:

We have a variety of theorems about how to create column spaces and row spaces and they frequently involve row-reducing a matrix. Here is a procedure that some try to use to get a column space. Begin with an m  n matrix A and row-reduce to a matrix B with columns B1, B2, B3, . . . , Bn. Then form the column space of A as
C(A) = ({B1, B2, B3, . . . , Bn}) = C(B)
This is not a legitimate procedure, and therefore is not a theorem. Construct an example to show that the procedure will not in general create the column space of A.
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

Question Posted: