Question

Linear algebra question.

How do you sketch this Null space?
(t/3, t, 0) ?

Answer 1

hi, can you state the definition of the null space

Answer 2

The set \[\left\{ x \epsilon R^n|Ax = 0\right\}\]

0 is 0 the vector and x is an x vector.
@Hayhayz

Answer 3

it is also called the kernel of A when given A as an mxn matrix. But i dont quite understand it @Hayhayz

Answer 4

so okay for example for Ax=0 the null space is all the vectors x succh that this Ax=0 is true

Answer 5

Okay so what would be sample vectors x that would make that statement true?

Answer 6

yup

Answer 7

okay so in this case it is what it is

Answer 8

(t/3, t, 0) , all the vectors of this form seem to solve your matrix Ax=0

Answer 9

x=t/3,y=t,z=0