If is a square matrix such that , then how many values of are possible? यदि M इस प्रकार का एक वर्ग आव्यूह है कि M³ = M है , तो |M| के कितने मान संभव हैं ?

Three Explanation: To find the possible values of the determinant , we use the property of determinants that states . Step 1: Take the determinant of both sides Given the equation: Taking the determinant of both sides: Using the property : Step 2: Solve the algebraic equation Let . The equation becomes: Step 3: Analyze the possible roots The equation yields three possible solutions for : Since can take any of these three values (e.g., if is a zero matrix, ; if is an identity matrix, ; if is a diagonal matrix with entries , ), there are three possible values for . Final Answer: There are three possible values for . The correct option is (c) .

How do I solve NDA 2026 Mathematics questions?

Practice NDA 2026 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

What is the difficulty level of NDA Mathematics questions?

NDA Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Are NDA previous year papers available for free?

Yes. Mathem Solvex provides free access to NDA previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

NDA 2026 — Mathematics PYQ

NDA | Mathematics | 2026

If $M$ is a square matrix such that $M^{3} = M$ , then how many values of $∣ M ∣$ are possible?

यदि M इस प्रकार का एक वर्ग आव्यूह है कि M³ = M है, तो |M| के कितने मान संभव हैं ?

Choose the correct answer: