Consider the matrix A=(1234567810)A = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 10 \end{pmatrix}A=1472583610. Using the property det(A)=det(A−λI)+…\det(A) = \det(A - \lambda I) + \dotsdet(A)=det(A−λI)+… or row operations, compute det(A)\det(A)det(A).
−3-3−3
000
333
111