1. Find the null space of the matrix 2. If is a nonsingular matrix, what can you say about the columns of 3. This problem deals with the very important concept of matrix range. The range of an ...

1. Find the null space of the matrix

2. If

is a

nonsingular matrix, what can you say about the columns of

3. This problem deals with the very important concept of matrix range.

The range of an

matrix
is set of all vectors

as

varies through all vectors in

ⁿ

Describe the range in terms of the rows or columns of

How would you find a basis for the range of

Find a basis for the range of the matrix