Higher Concepts of Mathematics MATRICES AND DETERMINANTSExpanding the bottom matrix for x using the elements in the first column gives:22 212( 1)31123312 22 (42)( 1) ( 61)3 (62)451221This gives:x42212y and z can be expanded using the same method.y = 1z = -3SummaryThe use of matrices and determinants is summarized below.Matrices and Determinant SummaryThe dimensions of a matrix are given as m x n, where m = number of rows andn = number of columns.The use of determinants and matrices to solve linear equations is done by:placing the coefficients and constants into a determinant format.substituting the constants in place of the coefficients of the variable to besolved for.dividing the new-formed substituted determinant by the originaldeterminant of coefficients.expanding the determinant.Rev. 0 Page 29 MA-05
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