Linear Algebra 04 | Vector Space & Subspace | DA | GATE Crash Course

Master one of the most important Linear Algebra concepts for GATE 2026/2027 with this detailed session on Vector Space and Subspace. In this lecture, we break down the foundations of vector spaces, spanning sets, linear combinations, basis, dimension, and the essential conditions required for a subset to qualify as a subspace. You’ll learn how to verify subspaces, interpret null space and column space, and solve GATE-level numerical problems with clarity. Perfect for aspirants aiming to build strong conceptual understanding and score high in Engineering Mathematics. 📕 𝐁𝐚𝐭𝐜𝐡/𝐂𝐨𝐮𝐫𝐬𝐞 𝐋𝐢𝐧𝐤𝐬:- GATE GURUKUL Course Link - https://www.geeksforgeeks.org/courses... All courses - https://www.geeksforgeeks.org/courses... GATE 2026 CS & IT Test Series Link - https://www.geeksforgeeks.org/courses... GATE 2026 DA Test Series Link - https://www.geeksforgeeks.org/courses... GATE CSE Weekday / Weekend (2027) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... (2029) - https://www.geeksforgeeks.org/courses... GATE DA Weekday / Weekend (2027) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... ( 2029 ) - https://www.geeksforgeeks.org/courses... GATE Combo CS / DA Weekday / Weekend ( 2027 ) - https://www.geeksforgeeks.org/courses... ( 2028 ) - https://www.geeksforgeeks.org/courses... ( 2029 ) - https://www.geeksforgeeks.org/courses... GATE CSIT With Placement Preparation Complete Course (2027) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... GATE SPL. Combo Course - CSIT + DA (2027) - https://www.geeksforgeeks.org/courses... (2027 + Placement Prep.) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... (2028 + Placement Prep.) - https://www.geeksforgeeks.org/courses... Gate CSE Semester & Placement Preparation (2027) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... For any query visit https://www.geeksforgeeks.org/courses... Or reach us at +91-08069289001 RECOMMENDED CHANNELS FOR YOU: GeeksforGeeks GATE EE/EC/IN -    / @gfg_ec_ee_in   GeeksForGeeks GATE English -    / @geeksforgeeksgateenglish   📚 Stay tuned for more Maha Marathon sessions on all GATE topics! 💬 Don't forget to comment your doubts and feedback! 👉 Subscribe to our channel for more GATE preparation content and hit the 🔔 to never miss an update! 👍 Like | 🔄 Share | 📢 Spread the word #VectorSpace #Subspace #LinearAlgebra #EngineeringMathematics #GATEMaths #GATE2026 #GATE2027 #MathsForGATE #LinearIndependence #BasisAndDimension #GatePreparation