Linear transformation and matrices

1. On page 1, examples are provided to geometrically understand linear transformations.
2. In the first box click on "Click here" button for geometry of T, then click on "T is linear", if you feel T is linear. Otherwise click on "T is not linear" button to display the result and the reason.
3. Repeat the same process for the remaining examples.
4. In “Observation” section choose the correct options for the given exercise and click on “Submit” to see the result.
5. Click on the “Next” button to go to the next page.
6. Enter the values for bases B1 and B2 and press “Submit” button to display the chosen basis.
7. Click on “Matrix associated with T” to display the matrix associated with T w.r.t. the bases B1 and B2.
8. Click on the “Next” button to go to the next page for the reverse problem.
9. Enter the values a, b, c and d to choose a matrix and click on “Submit” button to display it.
10. Enter the values for f1 and f2 to choose basis B1 for the domain R2 and click on “Submit” button to display it.
11. Enter the values for e1 and e2 to choose basis B2 for the co-domain R2 and click on “Submit” button to display it.
12. Click “Linear Transformation associated with A” button to display the result.
13. Click on “See Explanation” link for the required explanation.