Summary: Mathematics 3C Summer 3B 2009
Worksheet 7.5, September 1st-3rd, TA Grace Kennedy
PREP for 9/3: Read text Sections 2.6, 3.2-3.5, finish worksheet, start new ones
MY WEBSITE: http://math.ucsb.edu/kgracekennedy/SB093C.html
You probably will not finish this worksheet, but it will be good practice.
1. Give an example of a 2 × 2 matrix having determinant 5.
2. Scale your matrix by a number n. What will the determinant be?
3. Is this matrix invertible? If not explain why. If so, calculate the inverse
4. Consider the following matrix:
1 1 2
4 0 4
3 0 2
(a) What is the determinant of this matrix?
(b) Is this matrix invertible? If so, find its inverse. If not explain why.
(c) What is the RREF of this matrix?