Higher Concepts of Mathematics MATRICES AND DETERMINANTSSolution:AB(1x3) (2x0) (1x5) (2x6)(3x3) (4x0) (3x5) (4x6)30 51290 15243 179 39It should be noted that the multiplication of matrices is not usually commutative.TheDeterminantSquare matrixes have a property called a determinant. When a determinant of a matrix is written,it is symbolized by vertical bars rather than brackets around the numbers. This differentiates thedeterminant from a matrix. The determinant of a matrix is the reduction of the matrix to a singlescalar number. The determinant of a matrix is found by "expanding" the matrix. There areseveral methods of "expanding" a matrix and calculating it’s determinant. In this lesson, we willonly look at a method called "expansion by minors."Before a large matrix determinant can be calculated, we must learn how to calculate thedeterminant of a 2 x 2 matrix. By definition, the determinant of a 2 x 2 matrix is calculated asfollows:A =Rev. 0 Page 21 MA-05