Linear Algebra

#### Matrices

- Matrices in Sage. Matrices in Sage.
- Augmented Matrices. Augmenting a matrix with a column vector.
- The determinant of a matrix. Taking the determinant of a matrix.
- The sum of two matrices. Calculating the sum of two matrices.
- The product of two matrices. Calculating the product of two matrices.
- The rank of a matrix. Calculating the rank of a matrix.
- The RREF of a matrix. Computing the RREF of a matrix.
- The inverse of a matrix. Computing the inverse of a matrix.

#### Vector Operations

- Vectors in Sage. Vectors in Sage.
- Vector Addition & Subtraction. Adding and subtracting vectors in Sage.
- Finding a Scalar Product Finding the scalar product of a scalar and vector.
- Dot Product of Two Vectors Finding the dot product of two vectors.
- Cross Product of Two Vectors Finding the cross product of two vectors.
- Norm of a Vector Finding the norm (length) of a vector.
- Angle Between Two Vectors Finding the angle between two vectors.