Vector

Description:

• Collection of number in 1 column
• Can represent:
  • A point in space in $n$-dimension
  • A direction
  • A linear function
  • Time series
• Has Scalar Product
• Has Euclidean Length
  • $||x||$ denotes the length of the vector
• Has components:
  • $x(i)$ denotes the $i$-th component of vector $x$

Vector Transformation:

• Transpose, ${}^T$:
  • Transform column-vector $x$ to row format
  • $x^T=[x_1{x}_2...x_n]$
  • $x^{TT}=x$

Unit Vector

De-meaned Vector

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