Given A = [[1,3,5,0],[0,1,4,-2]] (where A is a 2x4 matrix, incase you dont know my notation):

Find a basis for the nul(A). Then, describe the geometry of the nul(A).

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- Nov 29th 2006, 01:04 PMBlodenNull Space
Given A = [[1,3,5,0],[0,1,4,-2]] (where A is a 2x4 matrix, incase you dont know my notation):

Find a basis for the nul(A). Then, describe the geometry of the nul(A). - Nov 30th 2006, 09:03 AMgalactus

Find your rref:

The nullspace is the solution space to the system of homogenoeous equations Ax=0.

Therefore, Null(A) =

and

- Nov 30th 2006, 10:15 AMBloden
I just don't get what the "basis" for the null is; the linear combinations? We can automatically tell that it's lin. dependent because we can't get pivots in every row, so how do you get a lin combo.