1. On the first page, in “Multiples of x∈R²” section, click on “Visualization” button to understand the geometry of multiples of elements of R². Related questions are given thereafter. Choose the answer from the dropdown for each question and click on “Submit” button to check the answer.
2. In “T(x) ∈R²” section, click on “Visualization” button to visualize the role of T. Related questions are given thereafter. Choose the answer from the dropdown for each question and click on “Submit” button to check the answer.
3. Repeat the same process for “Eigenvalue and Eigenvector” section.
4. Click on the “Next” Button to go to the next page.
5. Observe the transformation defined.
6. In “Eigen Values” section, select the correct option from the dropdown to answer the given question and click on submit to check the answer along with the reason.
7. In the “Eigenvectors” section, choose the answer from the dropdown for each question and click on “Submit” button to check the answer along with the reason.
8. “Visualization” section provides an excersise for self evalution of the understanding of geometric interpretation of the transformation T and its eigenvalues and eigenvectors. Click on "Click here" button to check the answer.
9. Click on “Next” button to go to the next page.
10. Enter the values of a, c and d to choose matrix A and click on “Submit” button to display the matrix A.
11. Click on the “Eigenvalues” button to learn how to find eigenvalues through characteristic equation and its roots.
12. Click on “Eigenvector” button to learn how to find eigenvectors through solutions of equations.