Assertion (A): For a square matrix A, if det(A) ≠ 0, then A-1 exists and the system Ax = b has a unique solution. Reason (R): Cramer's Rule states that each unknown in the system Ax = b can be expressed as the ratio of two determinants, and this holds only when det(A) ≠ 0.

Question

Mathematics · Linear Algebra

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Share:

Correct answer

Both (A) and (R) are correct but (R) is NOT the correct explanation of (A)

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Chapter Practice

Want more practice questions on Linear Algebra?

Solve complete topic-wise tests with detailed solutions on GkGet.

Recommended practice questions in Mathematics · Linear Algebra

The 'Drain of Wealth' theory was propounded by which Indian nationalist leader?

Which event is considered the turning point in Mahatma Gandhi's leadership in the Indian independence movement?

Which African leader is known for his non-violent opposition to colonial rule?

Answer 1

(A) is incorrect but (R) is correct

Answer 2

(A) is correct but (R) is incorrect

Answer 3

Both (A) and (R) are correct but (R) is NOT the correct explanation of (A)

Answer 4

Both (A) and (R) are correct and (R) is the correct explanation of (A)

Related Practice Questions