Exercises on the geometry of linear equations
Problem 1.1: (1.3 #4. Introduction to Linear Algebra: Strang) Find a combination x1w1 + x2w2 + x3w3 that gives the zero vector:
w.
Those vectors are (independent)(dependent).
The three vectors lie in a . The matrix W with those columns is not invertible.
Problem 1.2: Multiply: .
Problem 1.3: True or false: A 3 by 2 matrix A times a 2 by 3 matrix B equals a 3 by 3 matrix AB. If this is false, write a similar sentence which is correct.
