Mathematics · Linear Algebra
Let M2(&mathbb;R) denote the vector space of 2 × 2 matrices with real entries. Let A = (1 20 3) and B = (-1 01 5). Define a linear transformation T: M2(&mathbb;R) → M2(&mathbb;R) by T(X) = A X BT, where BT denotes the transpose of matrix B. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1Trace(T) = -16
- 2Trace(T) = 16
- 3det(T) = -225
- 4det(T) = 225✓
Correct answer
det(T) = 225
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!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Linear Algebra MCQs →Want more practice questions on Linear Algebra?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Linear Algebra