determinants

So far you have learnt that square matrix has determinant value and larger the square matrix more difficult it is to compute the determinant through cross multiplication method. The larger matrix is usually broken down into smaller matrix and determinant or minors are calculated. Then assigning signs to these minors will give you cofactors to …

Cofactors of Matrix

Previous article, you learned about minors of a square matrix which are determinant of smaller 2 x 2 matrix obtained by excluding row and column of a selected element from the original matrix. These minors are arranged in matrix form called matrix of minors. However, matrix of minors is not useful in finding the adjoint …

Finding Matrix Of Minors

In the previous article, you have learned simple way of cross multiplication to obtain the determinant of a square matrix. As the size of matrix get larger and larger it is increasing difficult to compute the determinant because we must first select an element and then extract smaller matrix from the larger matrix and find …

Finding Determinant By Cross Multiplication

In the previous article, we have seen how determinant decides whether a system of equation (read square matrix) has inverse, or it has a solution, only when the determinant is not zero. The determinant is obtained from the equation given below. To know more about finding determinant in this way , read previous article. Here …

Introduction To Determinants

Determinants are very important concept related to square matrix, and usually it is simple to calculate one while dealing with the system of linear equations. Our attempt here is to understand determinants properly so that all related concepts becomes easy and unforgettable. So we begin with a gentle introduction to determinants of matrices. What are …