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    Matrix Transformations

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    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.

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    Solution Summary

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