Question

can anyone help me on linear independent

Answer 1

We can. Just post the question!

Answer 2

lol

Answer 3

can we use column space approach to check wether matrix is linaer independent?

Answer 4

can't you put the matrix into upper row echelon form, then make the free variables go to the opposite side, and solve for the pivots through substitution

Answer 5

are you finding the basis

Answer 6

not..it just to check whether {(2,0,1),(2,0,-1),(0,0,1)} is linear independent

Answer 7

what should i do..it is same if i use row space?

Answer 8

those can be a matrix. but ok

Answer 9

not familiar with rs, gonna look

Answer 10

The easiest way is to get it into row reduced form. If it is linearly independent, it will have no free variables.

Answer 11

iit's possible for me to get same answer if i use row space and column space?

Answer 12

I know for sure it would work if you let each vector be a row of the matrix.

Answer 13

next..can you use column space approach to find a,b that satisfy (0,0,1)=a(2,0,1)=b(2,0,-1)?

Answer 14

Linearly independent means that the vectors are all separate of each other and can't be used to make the others. For example, a vector in the x-direction and a vector in the y-direction are linearly independent because no amount of x-vectors can make a y-vector.