JAMIA 2025 — Mathematics PYQ

Q: How do I solve JAMIA 2025 Mathematics questions?

Practice JAMIA 2025 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.

Q: What is the difficulty level of JAMIA Mathematics questions?

JAMIA 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.

Q: Are JAMIA previous year papers available for free?

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

Question

JAMIA 2025 — Mathematics PYQ

JAMIA | Mathematics | 2025

The inverse of a matrix exists if and only if its determinant is:

Choose the correct answer:

Explanation

Mathematical Condition:

Agar $A$ ek square matrix hai, toh uska inverse ( $A^{-1}$ ) exist karne ke liye niche di gayi condition honi chahiye:

|A| \neq 0

Ya phir ise aise bhi likh sakte hain:

\det(A) \neq 0

Iska Kaaran (Reason):

Matrix ka inverse nikalne ka formula niche diya gaya hai:

A^{-1} = \frac{1}{|A|} \text{adj}(A)

Is formula mein $|A|$ denominator (nichle hisse) mein hai. Agar $|A| = 0$ ho jaye, toh division by zero ho jayega jo ki undefined (aparibhashit) hai. Isliye:

Agar $|A| = 0$ (Singular Matrix): Inverse exist nahi karta.
Agar $|A| \neq 0$ (Non-singular Matrix): Inverse exist karta hai.

Final Answer:

The determinant must be:

\neq 0 \text{ (Non-zero)}

Choose the correct answer:

Explore More