Linear Algebra - MADE EASY Study Material for GATE, ESE and SES Exams

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Inverse of Matrix

Inverse of Matrix The inverse of a matrix A, exists if A is non-singular (i.e., ⏐A⏐ ≠ 0) and is

The value of a determinants does not change when rows and columns are interchanged. i.e., ⏐AT⏐= ⏐A⏐ If any row

Definition of Determinants: Let a11, a12, a21, a22 be any four numbers. The symbol represents the number a11a22 – a12a21 and

Complex matrices can be classified into the following three types based on the relationship between Aθ and A. Hermitian Matrix

Real matrices can be classified into the following three types based on the relationship between AT and A. 1. Symmetric

Two matrices A = [aij ] and B = [bij ] are said to be equal if, They are of

In this chapter, we shall discuss matrix algebra and its use in solving linear system of algebraic equations AX =