Question: Let T : R3 > R3 be a linear Operator such that a 3a+4b80 T b = b+8c c 3c (a): Find [Thy the matrix

Let T : R3 > R3 be a linear Operator such that a 3a+4b80 T b = b+8c c 3c (a): Find [Thy the matrix of T, with respect to the standard basis 8 : \fl l on on | on From (a) above we have that [Tlg (b): Find the eigenvalues of T. NOTE: IF AN EIGENVALUE IS REPEATED, YOU MUST LIST IT MULTIPLE TIMES! Ex: For the eigenvalues corresponding to (A 7 1)3()\\ 7 9), you would list 1,1,1,9, not 1, 9

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