Question

求计算行列式,有图,

Answer 1

∣1 3 3 3∣ ∣2 -2 0 0∣ ∣1 3 3∣ ∣3 3 3∣ ∣2 -2 0∣ ∣0 -2 0∣

∣3 1 3 3∣=∣3 1 3 3∣=2∣3 1 3∣+2∣3 1 3∣=2∣3 1 3∣+2∣3 1 3∣

∣3 3 1 3∣ ∣3 3 1 3∣ ∣3 3 1∣ ∣3 3 1∣ ∣3 3 1∣ ∣3 3 1∣

∣3 3 3 1∣ ∣3 3 3 1∣

∣1 3∣ ∣3 3∣ ∣3 3∣

=2×2∣3 1∣+2×2∣3 1∣+2×2∣3 1∣

=4(1-9)+4(3-9)+4(3-9)=-32-24-24=-80.