Early homework is due by 5:00 pm Wednesday.
If you did the early homework, you don't need to turn in problems
9,20, or 27 from section 4.4, or problems 7 or 23 from section 4.5 on
Friday. However, please make a note on your homework.
Question 1:
These are the columns of the matrix N, which we've seen
before.
Let
B={b1,b2b3}
Find the change of basis matrix from the standard basis to
B. (This may also be called the change of coordinate
matrix.)
Question 2:
Find the coordinate vector for e1 in terms of
B.
Question 3:
Let H= |
| 1 | 5 | -3 | 12 | 4 |
| 4 | 1 | 7 | 10 | 3 |
| -1 | 5 | -7 | 8 | 3 |
| -2 | 4 | -8 | 4 | 1 |
| -2 | 2 | -6 | 0 | 3 |
| . |
Recall that we've seen H before.
What are the dimensions of Nul A and Col A, respectively?