For a 4×44 \times 44×4 matrix AAA with eigenvalues 2,2,−1,52, 2, -1, 52,2,−1,5, what is det(A)⋅tr(A)\det(A) \cdot \text{tr}(A)det(A)⋅tr(A)?
10⋅6=6010 \cdot 6 = 6010⋅6=60
−20⋅8=−160-20 \cdot 8 = -160−20⋅8=−160
−40⋅(−3)=120-40 \cdot (-3) = 120−40⋅(−3)=120
20⋅8=16020 \cdot 8 = 16020⋅8=160