Determinants
Mathematics Solutions from Chapter -1 - Determinants
The chapter explains that when the elements of a square matrix are calculated to find a scalar value, then the scalar value is called the determinant. The determinant of a matrix is denoted as det (A).
Practice Other Topics from Determinants
Determinant of a matrix whose order is 1 is the element of the matrix itself. In this topic, properties of the determinants of a matrix of order 1, 2, 3 are discussed.
In this topic, some properties of determinants are discussed. A property of determinants is as: when the column and the row of a matrix are interchanged the value of the determinant remains same.
We know that in geometry, area of a triangle is half of the product of the base and the altitude. In this topic, the area of a triangle is discussed in determinant form.
This topic covers the expansion of a determinant in compact form using minors and cofactors. The definition is followed by exercises to find out minors and cofactors of determinants and to evaluate the determinant by means of minors and cofactors.
This topic covers Adjoint and Inverse of a Matrix. The transpose of the cofactor of a matrix is called Adjoint of the original matrix. If a matrix A is multiplied with another matrix B and their multiplication is identity matrix, then B is called the inverse of matrix A.
In this topic, some applications of determinants and matrices, facilitated for ease of calculations such as solving a system of linear equations are discussed with examples.
