Math Is Fun Forum

mathsforumhelp

Member

Registered: 2009-10-07

Posts: 14

nullity

You are given that A is an 5 x 9 matrix of nullity 5.
1. The null space of A is a d-dimensional subspace of Rn, where
d =________and n =__________________
2.The rank of A is___________
3.The row space of A is a d-dimensional subspace of Rn, where
d =_______and n =___________
4.The column space of A is a d-dimensional subspace of Rn, where
d =_________and n =_______________
5.Are the row vectors of A linearly independent?
6.Are the column vectors of A linearly independent?
7.The number of parameters in the solution of ATx = 0 is_________________
8.For every b Î R9, the system ATx = b is consistent.

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: nullity

Have you tried the problem at all?  What are your thoughts?

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."