Question: The Linear transformation \(T\left( x \right)=Ax\) from R ⁵ to R ⁴ is given by:

1. Find a basis for the kernel of A ( ie Null(A)).
2. The image of a linear transform is the span of the column vectors of A (i.e. Col(A)). Find a basis for the image of A (im(A) or equivalently the column space of A)
3. Use your results from a and b to illustrate the rank and nullity formula:
   Given an m x n matrix A the rank( A) + dim Nul( A) = n
4. Find a basis for the row space of A.
5. Use your results from b and d to illustrate The Rank Theorem (See Theorem 14 p. 233).

Rank (A) = dim Row(A)

Price: $2.99

Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document