18.06 - PS7 - Solved

Exercises on solving Ax = 0: pivot variables, special solutions 

Problem 7.1: 

a)     Find the row reduced form of: 

 

A   

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 A2 so that rank(A1B) = 1 and rank(A2B) = 0 for B   .