Given that the value of a determinant of order three is zero; which one of the following is not correct? |
The elements of any two rows are proportional The elements of any two coloumns are proportional The elements of the diagonal are all non-zero and all other elements are zero The elements of second row are average of elements of first and second row |
The elements of the diagonal are all non-zero and all other elements are zero |
In part 3 Let say we have a matrix with non zero diagonal elements and all other zero elements in this case e.g. A3×3 = $\left[\begin{array}{lll}a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c\end{array}\right]$ then |A| = abc ≠ 0 so option 3 |