Determinant of a Matrix

Determinant of a matrix can be defined as a numerical value obtained from a square matrix of the coefficients of certain unknown variables enclosed by two bars by the process of diagonal expansion to tell upon a given algebraic system.

Consider the system of equations:

a₁₁x + a₁₂y = 0 a12x + a₂₂y = 0

Eliminating x and y, we get the expression as

a₁₁a₂₂ -a₁₂a₂₁ = 0