Determinants – Notes
Let A be the set of square matrices and B is a set of real or complex numbers. If a function, : A → B is defined by (x) = b, such that X A and b B, then (x) is called the determinant of X.
The determinant of A is denoted by , det(A) or .
If any row (or column) contain maximum number of zeros, then finding the determinant along the row (or columns) makes the calculation easier.
If all the elements in a row (or a column) are zeros, then the determinant of that matrix is zero.
If M and N are two square matrices such that M = kN, where is a real number, then = , where n is the order of the matrices M and N.