[Solved] 18.06 Exercise 1-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.