Let
M= [(sin4*θ* ,- 1-sin2*θ*)(1+cos2*θ* , cos4*θ*)] =lα+βM-1
where α = α(θ) and β = β(θ) are real numbers, and I is the 2 × 2 identity matrix. If *α is the minimum of the set {α(θ) : θ ∈ [0, 2π)} and *β* is the minimum of the set {β(θ) : θ ∈ [0, 2π)}, then the value of α + *β** is
(A) -17/ 16
(B) -29/16
(C) - 31 /16
(D) -37/16
