Consider the following matrices A and the linear transformation T defined by each A. Find the rank r of A, dim domain(T), dim range(T ), dim ker(T ), and nullity(T ) for each matrix A.A = |1 0 6 2 |
|0 1 2 7|
|0 0 0 0 |
A = | 1 0 0 2 |
| 0 1 0 7 |
| 0 0 1 4 |
A = | 1 0 0 4|
| 0 1 0 4|
| 1 1 1 9|
A = | 1 2 –1|
| 2 4 -2|
|3 6 -3|
| 4 8 -4|