(A calculus question) Show that the derivative of det A with respect to a11 is the cofactor C11. The other entries are fixed-we are only changing a11.

Question

(A calculus question) Show that the derivative of det A with respect to {a}_{11} is the cofactor {C}_{11}. The other entries are fixed-we are only changing {a}_{11}.

Accepted Answer

(a) det A = [latex]{a}_{11}{C}_{11}+ \cdots + {a}_{1n}{C}_{1n}[/latex].

Derivative with respect to [latex]{a}_{11}[/latex] = cofactor [latex]{C}_{11}[/latex].

Question : (A calculus question) Show that the derivative of det A with...