It is one of the property of determinants. If, we have any matrix with two identical rows or columns then its determinant is equal to zero. We can verify this property by taking an example of matrix A such that its two rows or columns are identical. … [Continue reading]
Properties of Determinants
There are different properties of determinants that enables us to calculate determinants easily. For example, one of the property is that if all the elements of any row or column of matrix are equal to zero then determinant of such a matrix is equal … [Continue reading]
How to find Eigen values and Eigen Vectors of a matrix?
For example, we are given any n x n matrix A and we want to calculate its Eigen values and eigen vectors. Then, we must have non-zero vector x such that Ax=λx, where λ is an Eigen value and x is eigen vector. When we solve this equation, we get … [Continue reading]
What are tridiagonal matrices?
Tridiagonal matrices are the matrices which are having non-zero elements on the diagonal, super diagonal and subdiagonal. All the rest of the elements are zeros. … [Continue reading]
Example of an Idempotent Matrix
Matrix A is said to be idempotent if $${{\rm{A}}^{\rm{2}}} = A{\rm{ }}$$ Lets take an example of such matrix. … [Continue reading]
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