# Thread: Basis of Image & Kernal

1. ## Basis of Image & Kernal

I have attached the question.

To calulate $U_1$ , I put $L_1$ in a matrix form as follows

1 1 2 -1
2 4 1 -1

and made that equal to the zero vector

0
0

I row reduced it with leading ones,
however I don't know what to do from there - and I certainly am not sure how the calculate the Image of $L_2$ either nor the others.

Hints and advice will be very much appreciated, thank you.