Linear Algebra and the C Language/a06x

Some properties

• det_R(AB) = det_R(BA) = det_R(A) det_R(B)
• det_R(A) = det_R(A_T)

• det_R(A) = 1 / det_R(InvA)
• det_R(s A) = (s**r) det_R(A) .... (Multiply a matrix by s)

• det_R(B) = s det_R(A) .............. (Multiply a column by s)
• det_R(B) = s det_R(A) .............. (Multiply a row by s)

• det_R(B) = - det_R(A) .............. (Swap two columns)
• det_R(B) = - det_R(A) .............. (Swap two rows)