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
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

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)

Practice Similar Matrices Questions

Reinforce your conceptual grasp with related questions from CUET-MCA 2021:

Q48 If \( A=[ ll a & b \\ b & a ] \) and \( A 2=[ ll α & β \\ β & α ] \) then
Solve →
Q50 Let us consider a square matrix \( A \) of order \( n \) with eigenvalues...
Solve →
Q14 Choose the Correct Answer ( 39798+3798+378= ) ?
Solve →
Q15 Find the lowest common multiple of 24,36 and 40 .
Solve →
Q16 Find the number which when multiplied by 15 increased by 196.
Solve →
Full-Length Test Series

Prepare for CUET-MCA Under Real Exam Conditions

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.

Start Free Mock Test Series →