Dear students from MAT223:

I’ve received some requests to explain the following questions and I made a few short videos to explain how to solve them.

Happy learning!

- If and are linear transformations , and are three distinct vectors in so that

then for all

2. If A is matrix and dim(null(A-I))=3, then A is diagonalizable.

3. Consider

Decide whether A is diagonalizable. Justify your answer.

4. What is the matrix of a linear transformation

with

Compute the rank of this matrix.