Question: 4. Let 12, 13 E R. Let V = 12 Write det(V) as a quadratic polynomial in factored form. 5. Use Cramer's rule to solve

4. Let 12, 13 E R. Let V = 12 Write det(V) as a quadratic polynomial in factored form. 5. Use Cramer's rule to solve the system 2x1 + 212 + 13 = 14 5ri + 2x2 + 3 = 20 7x, + 302 + 13 = 27. 6. For each matrix below, do the following. . determine the characteristic polynomial . determine the eigenvalues . find bases for the eigenspace corresponding to each eigenvalues . determine whether the matrix is diagonalizable (a) (b) (c) L LL 2

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