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...P a g e mathematics notes for class chapter determinants determinant every square matrix is associated with number called its and it denoted by det or only matrices have the which are not do i first order if then ii second iii third evaluation of sarrus rule can be formed enlarging adjoining two columns on right draw lines as show below parallel perpendicular to diagonal www ncerthelp com visit all ncert solutions in text videos cbse syllabus note many more value thus will sum product element line minus elements segment this method doesn t work greater than properties remains unchanged rows changed into n b obtained from interchanging ij x proportional o iv k where multiplying one row column v ka vi each terms expressed vii same multiple any added corresponding other new viii zero ix identical important results ab c such that ith th band identity rd having polynomials has factor non singular skew symmetric odd even perfect general xi triangular xii rank r xiv xv orthogonal xvi hermitia...