Find the smallest integer value for K so that the linear operator T: R→R such that T(x,y,z) = (3x + (1+ k)y, 3y, — ky +z) be diagonalizable. Then, for the value of K found, determine the diagonal matrix similar to the matrix of the operator T on the canonical basis of R³.

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A: Here we will find matrix of linear transformation

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A: Given:

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A: From the given information we get:

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A: Solution:-

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Q: r projection oE the following

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