help with column space

shlomo shnur

2020 1 1

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hello,

I have a matrix defined like this :

   6    10    14    18    22    26
   4     8    12    16    20    24
   3     6    10    14    18    22
   3     5     8    12    16    20
   3     5     7    10    14    18
   3     5     7     9    12    16
   3     5     7     9    11    14
   3     5     7     9    11    13

after I use rref() I get the reduced matrix and i see that i have all but one leading coulmns.

is there a function that gives me the basis of the column space from the original matrix?

"colspace" gives me something different than i need.

Thank you in advance!

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David Goodmanson 2020-1-1

Hi shlomo,

what do you need for the column space to look like? Since the rank of m is 7, the columns of m itself form a column space, and so do do the columns of [m multiplied on the right by any nonsingular 7x7 matrix]. The possibilities cover a lot of territory.