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Find the value(s) of k such that the matrix A= 3 0 3 -6 3 3k -3 6 3k^2 has an inverse. Hint: Find the value(s) of k such that the augmented matrix [...

Find the value(s) of k such that the matrix

A= 3 0 3

    -6 3 3k

    -3 6 3k^2

has an inverse. Hint: Find the value(s) of k such that the augmented matrix [A|I] can be reduced to the form [I|B]. (Enter your answers as a comma-separated list.)

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