Let .

Find a basis for the null space of A.

I got the answer

Is it correct?

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- January 21st 2011, 07:10 AMSambitnull space
Let .

Find a basis for the null space of A.

I got the answer

Is it correct? - January 21st 2011, 07:24 AMTheEmptySet
Yes it is correct. By the way the matrix has Rank 3 so the dim of the nullspace must be 1 and you found 1 vector in the null space.

- January 21st 2011, 08:56 AMHallsofIvy
So that, strictly speaking, you have NOT yet solved the problem. The "null space" is a one-dimensional subspace of and you have found one vector in that space. How would you represent

**any**vector in the null space? - January 22nd 2011, 06:55 AMSambit
any vector in the null space.....do you mean where is a real number?

- January 22nd 2011, 08:08 AMHallsofIvy
Yes, or, to phrase it slightly differently, , the set of all real multiples of your original vector= the subspace spanned by that vector.(Clapping)