UGC NET CSE | December 2004 | Part 2 | Question: 1

Question

$AVA=A$ is called :

• A. Identity law
• B. De Morgan’s law
• C. Idempotent law
• D. Complement law

Comments

(C)

 

Answer 1

In linear algebra, an idempotent matrix is a matrix which, when multiplied by itself, yields itself. That is, the matrix A  is idempotent if and only if A 2 = A . For this product A 2  to be defined, must necessarily be a square matrix.

Source : https://en.wikipedia.org/wiki/Idempotent_matrix

Answer 2

Idempotent Law: $A \cup A = A$ and $A\cap A=A$