# Matrix 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.

© BrainMass Inc. brainmass.com October 9, 2019, 4:47 pm ad1c9bdddfhttps://brainmass.com/math/linear-transformation/matrix-transformations-41155

#### Solution Summary

This shows how to describe the kernel, nullity, and rank of a given transformations.

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