kevinlui's site

Jan 17/Jan 19

Review Chapter 2

• Review span and linear independence. Relate linear systems and matrices.

• Do the unifying theorem.

• Introduce the standard basis. Use it to understand matrix multiplication.

• Demonstrate that the difference of two solutions is a solution to the homogeneous system.

Chapter 3.1 Linear Transformation

• Give definition of a linear transformation.

• Give both examples and nonexamples.

• Matrix multiplication is linear. All linear transformations come from this.

• Introduce range, relate to span and existence of solution.

• Introduce 1-1 and onto.

• Talk about span and linear independence again.

• Give the unifying theorem again.

• Show R2 to R2 visualizations.