Mathematics · Matrices
Let A be a 2 × 2 real matrix with entries from {0, 1} and |A| ≠ 0. Consider the following two statements: (P) If A ≠ I2, then |A| = -1 (Q) If |A| = 1, then tr(A) = 2 Where I2 denotes the 2 × 2 identity matrix and tr(A) denotes the sum of the diagonal entries of A. Then:
- 1Both (P) and (Q) are true
- 2(P) is true and (Q) is false
- 3Both (P) and (Q) are false
- 4(P) is false and (Q) is true✓
Correct answer
(P) is false and (Q) is true
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Want more practice questions on Matrices?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Matrices