Computer Lab: Matrix Machine Use the matrix machine from IDE (Lab 15) to analyze each transformation from

Question:

Computer Lab: Matrix Machine Use the matrix machine from IDE (Lab 15) to analyze each transformation from R2 to R2 in Problems 1 to 2, and answer the following questions.
(a) Which vectors are not moved by the transformation?
(b) Which nonzero vectors do not have their direction changed?
(c) Which vectors do not have their magnitude changed?
(d) Which vectors map onto the orig. n? This set is called the nulls pace of the transformation.
(e) Which vectors, if any, map onto
(f) Find the image of the transformation, and state whether it is all of R2 or a subset.
1.