Example: Matrix Algebra
1. Define and transpose a matrix.
2. Calculate the matrix determinant.
3. Square the matrix.
4. Inverse the matrix.
5. Show that multiplying a matrix with its inverse results in the identity matrix
Solving Linear Systems
1. Define a vector.
2. Solve the linear system Mx = v.
3. Show that the original vector v is returned when M is multiplied by x.
Nested Arrays
1. Define a nested array.
2. Display the nested array.
3. Extract matrices from the nested array.
