Part B | CSIR-NET Mathematical Science June 2026| Question ID 458908760 ‪@MathsLover2023‬

In this video, we solve an important CSIR-NET Mathematical Science June 2026 Part B question based on Linear Algebra, Vector Spaces and Linear Transformations. The problem considers the vector space P₃₀(ℝ) and a linear transformation T : P₃₀(ℝ) → P₃₀(ℝ) satisfying T² = 0. We determine the maximum possible value of rank(T) using a fundamental result from linear algebra. 📚 Concepts Covered ✅ Dimension of P₃₀(ℝ) ✅ Linear Transformation ✅ Rank and Nullity ✅ Rank–Nullity Theorem ✅ Condition T² = 0 ✅ Image and Kernel of T ✅ Maximum possible rank ✅ CSIR-NET Part B problem-solving approach 🎯 Exam: CSIR-NET Mathematical Science 📅 Paper: June 2026 📖 Part: B 🔢 Question ID: 458908760 📌 Topic: Linear Algebra / Linear Transformation This question is highly useful for students preparing for CSIR-NET Mathematical Sciences, GATE Mathematics, IIT JAM, SET, NBHM and other competitive mathematics examinations. Watch the complete video to understand the concept and learn how to solve such questions quickly and accurately in the examination. 👍 Like | Share | Subscribe to Maths Lover ❤️ 🔔 Turn on notifications for more CSIR-NET Mathematical Science June 2026 solutions, PYQs, concepts and exam-oriented problems. 🔎 Search Keywords CSIR NET Mathematical Science June 2026, CSIR NET June 2026 Part B, CSIR NET Mathematics Part B, CSIR NET Linear Algebra, CSIR NET Linear Transformation, CSIR NET Rank Nullity Theorem, CSIR NET T square zero, CSIR NET maximum rank, CSIR NET Question 458908760, CSIR NET Maths Solution, CSIR NET Mathematical Sciences, CSIR NET JRF Mathematics, CSIR NET PYQ, CSIR NET June 2026 Solution, Linear Algebra CSIR NET, Rank Nullity CSIR NET. 🔥 Hashtags #CSIRNET #CSIRNET2026 #CSIRNETMathematicalScience #CSIRNETMathematics #CSIRNETJune2026 #CSIRNETPartB #CSIRNETSolution #CSIRNETMaths #MathematicalScience #LinearAlgebra #LinearTransformation #RankNullity #RankNullityTheorem #VectorSpaces #CSIRNETJRF #CSIRNETPreparation #CSIRNETPYQ #CSIRNETQuestions #Mathematics #MathsLover #GATEMathematics #IITJAM #NBHM #SETMathematics #MathematicsPreparation