Let B be a matrix which has eigenvectors u1 = (1 1 0 ), u2 = (1 −1 0 ), and u3 = ( 0 0 1 ), with corresponding eigenvalues λ1 = 2, λ2 = .5 and λ3 = −3. Compute B4x, where x = (3 5 −3 ). (hint : you do not need to calculate the matrix B explicitly)

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