Determinants are scalar values associated with square matrices. They are used to determine matrix properties such as invertibility. Calculating determinants involves methods like cofactor expansion. Determinants are applied in solving systems of linear equations using Cramer’s rule and finding matrix inverses. They are crucial in linear algebra.
Chapter 4 of Class 12 Maths is about Determinants. It covers the calculation of determinants using methods like cofactor expansion and discusses properties of determinants. The chapter also explains the use of determinants in solving linear equations using Cramer’s rule and finding the inverse of matrices. These topics are essential for the CBSE Exam 2024-25.
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The determinant is the scalar computed from the elements of a square matrix. It supplies the crucial property of a matrix: it states whether a given matrix is invertible or not (in this case, nonzero determinant) and singular or degenerate (if it equals to zero). It is defined only for square matrices (the number of rows and columns in these matrices is the same).
Determinant is a number attached to a square matrix.
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