Question 45

Mathematics Matrices Medium

If for a square matrix \( A, A^2=A \) , then such a matrix is known as

(A) idempotent matrix
(B) orthogonal matrix
(C) null matrix
(D) None of the above
View Dynamic Solution & Explanation
Correct Solution: Option A

Step-by-step Solution:

A square matrix \( A \) that satisfies the property \( A^2 = A \) is called an idempotent matrix. An idempotent matrix is a matrix that does not change when multiplied by itself. \[\] \[\] Correct Option: (a)