Category Description LaTeX Result
Matrices Using brackets \begin{bmatrix} 1 && 2 \\ 3 && 4 \end{bmatrix} \[\begin{bmatrix} 1 && 2 \\ 3 && 4 \end{bmatrix}\]
  Using parentheses \begin{pmatrix} 1 && 2 \\ 3 && 4 \end{pmatrix} \[\begin{pmatrix} 1 && 2 \\ 3 && 4 \end{pmatrix}\]
  Determinant of a matrix \begin{vmatrix} 1 && 2 \\ 3 && 4 \end{vmatrix} \[\begin{vmatrix} 1 && 2 \\ 3 && 4 \end{vmatrix}\]
  Dot product x \cdot y \[x \cdot y\]
Vectors A column vector, same as \(n \times 1\) matrix \begin{pmatrix} 1 \\ 2 \\ 3 \\ 4 \end{pmatrix} \[\begin{pmatrix} 1 \\ 2 \\ 3 \\ 4 \end{pmatrix}\]
  Vector notation A \vec{x} = \vec{b} \[A\vec{x} = \vec{b}\]
    A \hat{x} = \hat{b} \[A\hat{x} = \hat{b}\]
    A \mathbf{x} = \mathbf{b} \[A\mathbf{x} = \mathbf{b}\]
General Math Fractions \frac{m}{n} \[\frac{m}{n}\]
    x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \[x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]
  Superscript e^x \[e^x\]
  Subscript log_{10} x \[log_{10} x\]
  Multiplication x \times y \[x \times y\]
  Set of Real numbers \vec{b} \in \R^3 \[\vec{b} \in \R^3\]
  Blackboard Bold, e.g.: Real \vec{b} \in \mathbb{R}^3 \[\vec{b} \in \mathbb{R}^3\]
  Sum \sum_{i=1}^{n} x_i^2 \[\sum_{i=1}^{n}x_i^2\]

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