Important information about Transformations
I need help and an explanation for the following:
Using the matrix A =
1 -1 0
0 -1 1
-1 2 -1 to compute TsubA(x), for x = (1, 2, 3)^T. Here
TsubA: R^3 into R^3 is defined by TsubA(x) = Ax.
Also describe the kernel of the transformation TsubA (that is state what a typical vector in ker T looks like). What is the nullity of the transformation of TsubA? What is the rank of the Transformation TsubA.