Question

i need help in matrix algebra anyone?

Answer 1

ok

Answer 2

i need to find the rank and nullity of the given matrix A. A is a 20 x 13 matrix and the rank of A^T is 8. sorry for the typo

Answer 3

rank A = dim C(A) = dim N(A) = rank A^T

So we should get the same rank for A... if I'm thinking about this correctly.
Then the nullity, ummm

Answer 4

C(A): Column Space of A, or Range of A.
N(A): Nullspace of A, or Kernel of A.

Hopefully that notation wasn't confusing.

Answer 5

If A has rank 8,
and A has 13 columns,
then the Nullspace would contain 13-8 columns.

Answer 6

Mmmm is any of this making sense?
I'm taking Linear Algebra right now, so I don't have a great understanding of this stuff yet :) lol

Answer 7

Sorry that was a typo earlier,
rank A = dim C(A) = dim R(A) = rank A^T

I meant to write that the dimenion of the row space and column space are the same.
Sorry sorry D:

Answer 8

thank you! and it kinda make sense