# Algebra Examples

- Solving
- Simplifying Matrices
- Finding the Variables
- Solving the System of Equations Using an Inverse Matrix
- Finding the Dimensions
- Multiplication by a Scalar
- Multiplication
- Subtraction
- Finding the Determinant of the Resulting Matrix
- Finding the Inverse of the Resulting Matrix
- Finding the Identity Matrix
- Finding the Scalar multiplied by the Identity Matrix
- Addition
- Simplifying the Matrix Operation
- Finding the Determinant of a 2x2 Matrix
- Finding the Determinant of a 3x3 Matrix
- Finding the Determinant of Large Matrices
- Inverse of a 2x2 Matrix
- Inverse of an nxn Matrix
- Finding Reduced Row Echelon Form
- Finding the Transpose
- Finding the Adjoint
- Finding the Cofactor Matrix
- Null Space
- Finding the Pivot Positions and Pivot Columns
- Finding the Basis and Dimension for the Row Space of the Matrix
- Finding the Basis and Dimension for the Column Space of the Matrix
- Finding the Basis and Dimension for the Row Space of the Matrix
- Finding the LU Decomposition of a Matrix