Which of the following properties are true for any n×nn \times nn×n matrix AAA?
tr(A)=tr(AT)\text{tr}(A) = \text{tr}(A^T)tr(A)=tr(AT)
det(A)=det(AT)\det(A) = \det(A^T)det(A)=det(AT)
det(kA)=kndet(A)\det(kA) = k^n \det(A)det(kA)=kndet(A)
tr(kA)=ktr(A)\text{tr}(kA) = k \text{tr}(A)tr(kA)=ktr(A)