Rank nullity theorem | Linear Transformation | Part 3 скачать в хорошем качестве

Rank nullity theorem | Linear Transformation | Part 3

🎓 VTU 1BMATS101 (2025 Scheme) | Linear Transformations | Module 5 🎓 VTU BMATS201 (Module 3) & BMATE201 (Module 2) | Vector Space & Linear Transformations | 2022 Scheme ━━━━━━━━━━━━━━━━━━━━━━ 📌 Question Covered Find the range, null space, rank, and nullity of the following linear transformation and verify the Rank–Nullity Theorem. Given T : V3(R) → V3(R) defined by T(x, y, z) = (x + 2y + z, z − x, y + z) In this video, the problem is solved step by step by: • Finding the null space of T • Determining the range (image) of T • Computing the rank of the transformation • Computing the nullity of the transformation • Verifying the Rank–Nullity Theorem The explanation is fully exam-oriented, systematic, and suitable for VTU Model Question Papers and Semester Examinations. ━━━━━━━━━━━━━━━━━━━━━━ 🆕 NEW – VTU 1BMATS101 (2025 Scheme) (Most Important) 📘 Module 1 – Calculus 👉    • Calculus | VTU 1BMATS101 – Module 1 (Semes...   📘 Module 3 – Linear Algebra 👉    • Linear Algebra Made Simple | Rank, Consist...   ━━━━━━━━━━━━━━━━━━━━━━ 📚 All 1BMATS101 Playlists 👉 Model Question Paper–I (2025)    • 1BMATS101 | VTU Calculus & Linear Algebra ...   👉 Module 1    • Partial Differentiation | Multivariable Ca...   👉 Module 2    • Vector Calculus | VTU 1BMATS101 – Module 2...   👉 Module 3    • Linear Algebra: System of Equations & Eige...   👉 Module 4    • Vector Space | VTU 1BMATS101 – Module 4 (S...   👉 Module 5    • Linear Transformation | VTU 1BMATS101 – Mo...   ━━━━━━━━━━━━━━━━━━━━━━ 📘 Reference – Module-wise VTU Question Solutions 📘 Module 4 | Vector Space Q7(a) Linear Combination 👉    • Linear Combination of Vectors | Vector Spa...   Q7(b) Subspace 👉    • Subspace Test | Vector Space | VTU 1BMATS1...   Q7(c) Basis of Spaces 👉    • Basis and Dimension of Row Space, Column S...   Q8(a) Basis & Dimension 👉    • Basis and Dimension of a Subspace | Vector...   Q8(b) Inner Product 👉    • Inner Product of Vectors | Vector Space | ...   Q8(c) Coordinates w.r.t. Basis 👉    • Coordinates of a Vector with Respect to a ...   ━━━━━━━━━━━━━━━━━━━━━━ 👉 Follow VTU Maths with Muheeb (Mathematics Tutor) on WhatsApp https://whatsapp.com/channel/0029Vb6c... 👉 Get all VTU Maths updates and video links on Telegram https://t.me/vtumathswithmathematicst... ━━━━━━━━━━━━━━━━━━━━━━ 💎 Support Us Join our channel for exclusive perks 👇 🔗    / @officialmathematicstutor   ━━━━━━━━━━━━━━━━━━━━━━ #LinearTransformation #RankNullityTheorem #VectorSpace #1BMATS101 #VTUMaths #LinearAlgebra #EngineeringMathematics