Question

Find the rank and nullity of the matrix
A=1 1
-1 -1
-3 -3
rank(A)=? nullity(A)=?

Answer 1

Do you know how to write this matrix in row reduced echelon form?

Answer 2

rank 1 right?

Answer 3

Yep.

Answer 4

it appears that row or column vectors are just multiplies of the other/same as so only 1 independantly linear vector is produced

Answer 5

Since it has only one leading 1 entry.

Answer 6

got no clue as what a nulitty is ;)

Answer 7

That's right. The nullity + rank is equal to the number of columns. In this case, it's 2-1=1.

Answer 8

Does that help zebani?

Answer 9

yes it is correct thanks for helping =))