[Solved] 18.06 Exercise 7-solving Ax = 0: pivot variables, special solutions

solving Ax = 0: pivot variables, special solutions

Problem 7.1:

1. Find the row reduced form of:

A

1. What is the rank of this matrix?
2. Find any special solutions to the equation Ax = 0.

Problem 7.2: (3.3 #17.b Introduction to Linear Algebra: Strang) Find A₁ and A₂ so that rank(A₁B) = 1 and rank(A₂B) = 0 for B .