linear transofrmation and matrix bsc 3rd year maths

Panjab University Chandigarh (PU CHD) B.A / B.Sc Mathematics Semester 5: Linear Algebra | Chapter: Linear Transformations and Matrices. In this lecture, we solve a high-frequency university exam problem on finding the Matrix of a Linear Transformation T: R³ ➔ R² with respect to ordered bases B₁ and B₂. Key Concepts & Exam Steps Covered: • Expressing vectors as a linear combination of co-domain basis elements. • Mapping domain basis vectors under linear transformation T. • Forming the coordinate matrix and taking its transpose for the final matrix representation. • Step-by-step presentation guidelines to score full marks in PU CHD semester exams. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 📚 BATCH DETAILS, NOTES & FESTIVE OFFER: • Complete B.Sc / B.A Sem 5 Mathematics syllabus, exercise solutions, and PYQs are live on our platform! 🔥 Festive Flash Sale: Use Coupon Code: DUSSEHRA2026 for FLAT 20% EXTRA OFF! 👉 Official Web / PC Portal: https://pyqmasterclass.educrypt.ai/ 📥 Download Mobile App: https://play.google.com/store/apps/de... 💬 Join Official Telegram Community: https://t.me/pyqmaster 🟢 WhatsApp Discussion / Doubts: https://chat.whatsapp.com/DhNFEQoAcNX... 📱 WhatsApp Support: 8699004428 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ ⏱️ Video Timestamps: 00:00 - Introduction & PU Exam Problem Statement 00:48 - Understanding Ordered Bases B1 and B2 (R³ and R²) 02:00 - Answer Sheet Presentation & Writing the Given Data 03:45 - Expressing (α, β) as a Linear Combination of B2 06:42 - Finding Scalers A and B 07:45 - Mapping Domain Basis Elements (T(1,1,1), T(1,1,0), T(1,0,0)) 10:15 - Calculating Coordinates & Expressing in Basis B2 12:44 - Writing the Matrix & Taking Transpose (Final Answer) 14:11 - Course Revision & Dussehra Special Offer ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 🔍 Search Keywords & Related Queries: Matrix representation of linear transformation, Linear transformation and matrices BSc sem 5, Linear algebra sem 5 PU CHD, Matrix of T with respect to ordered bases, Panjab University BSc maths sem 5, Linear algebra important questions PU, BSc 5th sem maths linear algebra, PYQ Masterclass, Linear transformation solved examples. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ #LinearAlgebra #BScMaths #PanjabUniversity #PUCHD #LinearTransformations #MatrixRepresentation #PYQMasterclass #BScMathsSem5