Question

example of find a basis of a subspace of a 2 x 2 matrix

Answer 1

Which subspace? The column, row, null, eigen?

Answer 2

the set of all 2 x 2 diagonal matrices

Answer 3

I think that all diagonal matrices are produced by linear combination of these matrices:
1) [1 0; 0 0] ,
2) [0 1; 0 0] ,
3) [0 0; 1 0] ,
4) [0 0; 0 1]
where the notation is [first row; second row]...

Answer 4

Sorry... my mistake with the above you can produce all 2x2 matrices.

Answer 5

for the diagonal ones you only need:
1) [1 0; 0 0]
and
4) [0 0; 0 1]
... is that clear?

Answer 6

I am viewing..

Answer 7

thank you ... what would the dimension be?

Answer 8

What is the dimension of the space of all 2x2 matrices?

Answer 9

I think the answer to my question is 4 and the answer to yours is 2... check out this
http://www.solitaryroad.com/c210.html

Answer 10

I think the answer is 2 also

Answer 11

you're welcome!!!