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Shis, Determinant : The of in of and determ, Determinants, Basic Mathematics (MSBTE), 1-2, Basi, 1.1 Introduction :, A., Delerminant : The arrangement of numbers in equal number of horizontal and, vertical lines, written between two vertical lines is called the determinant., For exa, Row : The horizontal arrangement is called row., Column : The vertical arrangement is called column., Leading Diagonal : The diagonal through left hand top corner to right hand, bottom corner is called the leading diagonal., Order of the determinant : The equal number of rows and columns, are called, the order of the determinant., The numbers can be constants or variables and are called the elements of the, determinant., The v, It is denoted by A or D or | A |., (Вус, For Ex. :, Consider the system of equations a x+ b 0, %3D, and a, x+ b2 = 0, %3D, If we eliminate x between the two equations, we get a b2 - a2 b = 0. The, expression (a, b2 – a2 b1) is called the determinant of order 2 and can be written as,, b, -Row 1, a, b,-Row 2, ↑ t, Column 1 Column 2 Principal diagonal, col, 1.2 Determinant of Second Order:, An arrangement of four numbers in two horizontal and two vertical lines, ed between two vertical bars is called determinant of second order., For example:, The value of given determinant is a, b2- a, b,, 1., a,