Category «matrices»

Inverse of a Matrix

Inverse of a Matrix Suppose A is a given matrix. If there exists a matrix B such that, AB = I = BI then A is said to be an invertible matrix and B is called as inverse of A and is denoted by Note:- If a matrix A posses an inverse then A is …

Define Adjoint of a Matrix

Adjoint of a Matrix If A is a square matrix then the transpose of a matrix obtained by replacing the elements of A by their co-factors is called the adjoint of a matrix A and is denoted by Adj A. For example, Note If A is a square matrix of order ‘3’ and K is …

Singular and Non-Singular Matrix

A is a square matrix. If |A| = 0 , then A is called singular and if |A| ≠ 0 then A is called as a non-singular matrix. Theorems:- If A is a non-singular matrix then If A is non-singular then A has to be invertible. If A, B are non-singular matrices then If A …

Matrices EAMCET – Part 1

Here are some of the most important points from matrices to be understood and remembered by EAMCET aspirants. Product of two upper triangular matrices is a upper triangular matrix. Determinant of triangular matrix is the product of the elements in the principle diagonal. (i) trace (KA) = K tr(A)(ii) tr (A + B) = tr(A) …