Problem 7E

For each subspace in Exercises 1–8, (a) find a basis for the subspace, and (b) state the dimension.

Problem 7E

Step 1 of 3

Consider the following subspace:

(a)

The objective of the problem is to find the basis for subspace.

Write the subspace as,

Find the basis of Null, because it is equivalent to find the basis for the subspace.

The augmented matrix for the systemis