Question

how to verify that det(A)=det(A^T). For example : A = first row (-2,3) , second row (1,4) ?

Answer 1

Refer to explanation

Explanation:

For `A=(-2,3;1,4)`

the `det(A)=(-2)*4-3*1=-8-3=-11`

For `A^T=(-2,1;3,4)`

the `det(A^T)=(-2)*4-3*1=-11`

hence `detA=detA^T`