Скачать или смотреть IIT JAM 2025 Linear Algebra Question 58 | Dimension of Subspace in P₃(ℝ) | Detailed Solution!

IIT JAM 2025 Linear Algebra Question 58 | Dimension of Subspace in P₃(ℝ) | Detailed Solution!

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In this video, we present a detailed step-by-step solution to IIT JAM 2025 Linear Algebra Question No. 58!

We explore the subspace H subset P_3(R) defined by :
H = { p(x) ∈ P₃(ℝ) : x·p′(x) = 3·p(x) }

Our goal is to find the dimension of H.

✨ What you’ll learn in this video :
✔️ How to approach subspaces of polynomial spaces
✔️ Finding dimensions using conditions on derivatives
✔️ Useful tricks for IIT JAM Linear Algebra
✔️ Step-by-step explanation for complete understanding

Perfect for students preparing for IIT JAM Maths 2026 and anyone who wants to deepen their understanding of polynomial vector spaces and subspaces.

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