Description
Exercises on solving Ax = 0: pivot variables, special solutions
Problem 7.1:
a) Find the row reduced form of:
⎡ ⎤ 1 5 7 9
A = ⎣ 0 4 1 7 ⎦
2 −2 11 −3
b) What is the rank of this matrix?
c) Find any special solutions to the equation Ax = 0.
Problem 7.2: (3.3 #17.b Introduction to Linear Algebra: Strang) Find A1 and
1 1 A2 so that rank(A1B) = 1 and rank(A2B) = 0 for B = . 1 1
1
18.06SC Linear Algebra
