Mathematics · Linear Transformation

The rank and nullity of the linear transformation T: R2 → R3 defined by T(a, b) = (a - b, b - a, -a) are respectively:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

2, 0

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

Chapter Practice

Want more practice questions on Linear Transformation?

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

Recommended practice questions in Mathematics · Linear Transformation

Let V and W be two vector spaces over a field F. If T: V → W is a linear transformation such that dim V = 5 and nullity(T) = 2, then rank(T) is:

Related Practice Questions