Illustrations on matrix algebra ?

1. A matrix with labeled rows and columns, showing how elements are arranged in a grid format.

2. A matrix multiplication example, with two matrices being multiplied together and the resulting matrix shown.

3. An illustration of a matrix transpose, showing how the rows and columns are switched.

4. A diagram showing how to find the determinant of a 2x2 matrix using the cross product method.

5. A visual representation of a matrix inverse, showing how to find the inverse of a square matrix.

6. An illustration of a matrix addition and subtraction, showing how elements are added or subtracted in corresponding positions.

7. A diagram showing how to solve a system of linear equations using matrix algebra.

8. A visual representation of a matrix eigenvalue and eigenvector, showing how they are calculated for a square matrix.

9. An illustration of a matrix rank, showing how to determine the rank of a matrix using row operations.

10. A diagram showing how to perform Gaussian elimination on a matrix to solve a system of linear equations.