Watch and track your favorite playlist.
Curated by: PW NIMCET (63 videos)
Get ready to ace the NIMCET 2026 exam! In this session, mentor Shashank Saurabh provides a comprehensive recap and problem-solving session on the System of Linear Equations. The lecture highlights the recently announced NIMCET exam date (June 6th) and sets a high-energy tone for the final stretch of preparation. Key Topics Covered:Cramer’s Rule: Detailed breakdown of solving systems using $\Delta, \Delta_1, \Delta_2,$ and $\Delta_3$.Nature of Solutions: Criteria for Unique Solution ($\Delta \neq 0$), Infinitely Many Solutions ($\Delta = \Delta_1 = \Delta_2 = \Delta_3 = 0$), and No Solution.Homogeneous Equations: Understanding the difference between Trivial Solutions (all variables zero) and Non-Trivial Solutions.PYQ Practice: Step-by-step solutions to NIMCET previous year questions from 2009, 2010, and 2012.Shortcut Techniques: Using substitution and properties of determinants to solve complex problems quickly. ---------------------------------- Timestamps- [00:00]Introduction: NIMCET Exam Date Announcement (June 6th) & Motivation [05:07]Lecture Recap: Cayley-Hamilton Theorem & Rank of a Matrix Overview [06:40]Cramer’s Rule Deep Dive: Setting up Coefficient Matrices ($\Delta$) and $\Delta_i$ [09:13]Nature of Solutions: Conditions for Unique, Infinite, and No Solutions [11:02]NIMCET 2009 PYQ: Solving System of Equations with $a+b+c \neq 0$ [19:17]NIMCET 2010 PYQ: Determinant Problem involving $p, q, r$ and Substitutions [25:25]Problem Solving: Analyzing Infinitely Many Solutions in a $3 \times 3$ System [34:05]Complex Numbers in Matrices: Cube Root of Unity ($\omega$) Application in Systems [36:50]Homogeneous Equations: Defining the System and Net Power Balance [40:05]Trivial vs. Non-Trivial: Solving when $\Delta \neq 0$ vs. $\Delta = 0$ [46:51]NIMCET PYQ: Finding $k$ for Non-Trivial Solutions in a Set of Equations [49:38]Variable Analysis: Solving $2 \times 2$ Systems with Parameter $k$ [01:00:04] Conclusion: Series Summary, Homework Assignments, and Future Topics ----------------------------------------- 📌Samarth NIMCET 3.0 2026: MCA https://physicswallah.onelink.me/ZAZB/pn8t4ez3 📌Samarth NIMCET Pro 2026: MCA https://physicswallah.onelink.me/ZAZB/u3lh4bwe 📌Samarth NIMCET 2.0 2026: MCA One link https://physicswallah.onelink.me/ZAZB/vz9z914e 📌Samarth NIMCET 2026: MCA https://physicswallah.onelink.me/ZAZB/xpcln4ig 📲 PW App: https://physicswallah.onelink.me/ZAZB/PWAppWEb 📚 PW Store: https://physicswallah.onelink.me/ZAZB/qqee0bv4 ------------------------------------------------------- 📌 𝐑𝐄𝐂𝐎𝐌𝐌𝐄𝐍𝐃𝐄𝐃 𝐂𝐇𝐀𝐍𝐍𝐄𝐋𝐒 𝐅𝐎𝐑 𝐘𝐎𝐔 - 🌐 Physics Wallah - Alakh Pandey: https://www.youtube.com/@PhysicsWallah 🌐 PW IIT JAM & CSIR NET: https://www.youtube.com/@pwiit-jam 🌐 PW UGC NET : https://www.youtube.com/@pwugcnet ------------------------------------------------------- 📌 PHYSICS WALLAH SOCIAL MEDIA - 🌐 Telegram: https://t.me/Physics_Wallah_Official_Channel 🌐 Instagram: https://www.instagram.com/physicswallah 🌐 Facebook: https://www.facebook.com/physicswallah 🌐 Twitter: https://www.twitter.com/physics__wallah 🌐 LinkedIn: https://www.linkedin.com/company/physicswallah 🌐 Quora: https://pwofficial.quora.com 📌 For any Queries or Complaints visit: https://bit.ly/PW_ Queries OR give a Missed Call on 07019-243-492 #nimcet2026 #nimcetpreparation #matrices #determinants #nimcetmaths #mcapreparation #nimcetexam #nimcet2026maths nimcet 2026, nimcet preparation, system of linear equation, system of linear equations nimcet, linear equations nimcet, nimcet maths, nimcet mathematics, nimcet 2026 maths, nimcet 2026 preparation, nimcet previous year questions, nimcet important topics, nimcet exam maths, nimcet online classes, nimcet coaching, nimcet aspirants, nimcet exam preparation, nimcet mcq practice, nimcet maths concepts, nimcet maths for beginners, pw nimcet, system of equations mcq, linear algebra basics nimcet