Originally Posted by

**PvtBillPilgrim** I have this matrix made of two spanning sets:

1 1 3 2 0 8

5 4 14 3 1 9

-2 0 -4 -2 0 -8

3 3 9 0 1 3

In reduced row echelon form the matrix is:

1 0 2 0 1/6 0

0 1 1 0 1/6 0

0 0 0 1 -1/6 0

0 0 0 0 0 1

W1 is the span of the first three columns of the original matrix.

W2 is the span of the last three columns of the original matrix.

I need to find a basis for:

W1

W2

W1+W2

the intersection of W1 and W2

I think I'm wrong but I said that:

a basis for W1= {Column 1, Column 2}

a basis for W2={Column 4, Column 5}

a basis for W1+W2={Column 1, Column 2, Column 4, Column 6}

this means that there would be no basis for the intersection of W1 and W2

doesn't make sense

could someone check this?