Chapter01 Introduction to Vectors

Section01

• Vectors addition
  • $\boldsymbol{v} + \boldsymbol{w}$
• Linear combinations
  • $c \boldsymbol{v} + d \boldsymbol{w}$

Section02

• Dot product
  • $\boldsymbol{v} \cdot \boldsymbol{w}$
• Length
  • $\Vert \boldsymbol{v} \Vert = \sqrt{\boldsymbol{v} \cdot \boldsymbol{v}}$

Section03

• Matrices
• Linear equations
  • $A \boldsymbol{x} = \boldsymbol{b}$
• Solutions
  • $\boldsymbol{x} = A^{-1} \boldsymbol{b}$