GATE XE 2023 Engineering Mathematics | Section A Fully Solved | 100% Score Strategy | IISc Alumnus |

This lecture covers Section A completely and guarantees strong conceptual clarity for anyone targeting 100% marks. In this video, you will learn: ✔ Complete solutions of GATE XE 2023 Engineering Mathematics ✔ Smart techniques to solve Section A questions FAST ✔ Concepts from Linear Algebra, Calculus, Probability, Differential Equations ✔ Shortcut methods + exam-oriented strategies ✔ Perfect for GATE XE aspirants, Engineering Mathematics learners & self-study students If you're preparing for GATE XE 2026 or GATE XE Mathematics, this video will boost your score massively. Don’t forget to watch till the end. GATE XE 2025, GATE XE 2026, GATE XE 2025 preparation, GATE XE 2026 preparation, GATE 2025 engineering mathematics, GATE 2026 engineering mathematics, GATE XE 2025 PYQ, GATE XE 2026 PYQ, GATE XE PYQ series 2025, GATE XE PYQ series 2026, GATE engineering maths 2025, GATE engineering maths 2026, GATE XE maths 2025, GATE XE maths 2026, GATE 2025 solved questions, GATE 2026 solved questions, GATE XE expected questions 2025, GATE XE expected questions 2026, GATE XE practice questions 2025, GATE XE practice questions 2026, GATE 2025 study material, GATE XE 2025 exam strategy, GATE XE 2026 exam strategy, GATE XE 2025 lectures, GATE XE 2026 lectures, GATE XE 2025 full preparation, GATE XE 2026 full preparation, GATE XE 2007, GATE XE 2007 Solutions, GATE XE Engineering Mathematics, GATE XE Fully Solved, GATE XE Section A, GATE XE Maths Preparation, Engineering Mathematics GATE, GATE XE 2025 Preparation, GATE XE Previous Year Questions, GATE PYQ Engineering Maths, Engineering Mathematics Solutions, IISc Alumnus, GATE XE Complete Course, GATE Maths Strategy, GATE XE Lectures, GATE XE Important Questions, GATE Exam Preparation, GATE Mathematics Concepts, GATE Section A Tips, GATE XE Part 1, GATE XE 2007 Part 1, GATE XE 2007 Mathematics Solutions, Engineering Maths PYQ, GATE XE Tricks, GATE XE Shortcuts, GATE XE Solved Paper, #GATEXE #GATEXEMathematics #GATEXE2007 #GATEMaths #GATE2025 #EngineeringMathematics #IIScAlumnus #GATEPreparation #GATEExam #GATEMathsSolutions #EngineeringMaths #GATEXESectionA #QUBITEDUCATIONALSERVICES Thanks for watching 🙏🙏 Qubit Educational Services, Gate XE 2007 paper solutions GATE XE 2025, GATE XE 2026, GATE XE 2025 preparation, GATE XE 2026 preparation, GATE 2025 engineering mathematics, GATE 2026 engineering mathematics, GATE XE 2025 PYQ, GATE XE 2026 PYQ, GATE XE PYQ series 2025, GATE XE PYQ series 2026, GATE engineering maths 2025, GATE engineering maths 2026, GATE XE maths 2025, GATE XE maths 2026, GATE 2025 solved questions, GATE 2026 solved questions, GATE XE expected questions 2025, GATE XE expected questions 2026, GATE XE practice questions 2025, GATE XE practice questions 2026, GATE 2025 study material, GATE XE 2025 exam strategy, GATE XE 2026 exam strategy, GATE XE 2025 lectures, GATE XE 2026 lectures, GATE XE 2025 full preparation, GATE XE 2026 full preparation, Starts at 00:00 Question Types - 00:38 Q.11 - 3:35 - Let 𝐴 be a 3×3 real matrix having eigenvalues 1,2, and 3. If 𝐵=𝐴2+2𝐴+𝐼, where 𝐼 is the 3×3 identity matrix, then the eigenvalues of 𝐵 are Q.12 - 7:01 - Let 𝑓:ℝ2→ℝ be a function defined by 𝑓(𝑥,𝑦)=𝑥𝑦|𝑥|+𝑦 , 𝑦≠−|𝑥| 0 , otherwise. Then which one of the following statement is TRUE? Q.13 - 10:26 - If the quadrature formula ∫𝑓(𝑥)𝑑𝑥1−1≈19(𝑐1𝑓(−1)+𝑐2𝑓(12)+𝑐3𝑓(1)) is exact for all polynomials of degree less than or equal to 2, then Q.14 - 14:38 - The second smallest eigenvalue of the eigenvalue problem 𝑑2𝑦𝑑𝑥2+(𝜆−3)𝑦=0, 𝑦(0)=𝑦(𝜋)=0, is Q.15 - 17:55 - Which one of the following functions is differentiable at 𝑧=0 but NOT differentiable at any other point in the complex plane ℂ? Q.16 - 23:06 - If the polynomial 𝑃(𝑥)=𝑎0+𝑎1𝑥+𝑎2𝑥(𝑥−1)+𝑎3𝑥(𝑥−1)(𝑥−2) interpolates the points (0,2),(1,3),(2,2), and (3,5), then the value of 𝑃(52) is _________ (round off to 2 decimal places). Q.17 - 26:25 - The value of 𝑚 for which the vector field 𝐹⃗(𝑥,𝑦)=(4𝑥𝑚𝑦2−2𝑥 𝑦𝑚)𝑖̂+(2𝑥4𝑦−3𝑥2𝑦2)𝑗̂ is a conservative vector field, is _________________ (in integer). Q.18 - 28:44 - Let 𝑃=[4−226−343−23], and 𝑄=[3−224−462−35] . The eigenvalues of both 𝑃 and 𝑄 are 1,1, and 2. Which one of the following statements is TRUE? Q.19 - 33:49 - The surface area of the portion of the paraboloid 𝑧=𝑥2+𝑦2 that lies between the planes 𝑧=0 and 𝑧=14 is Q.20 - 38:49 - The probability of a person telling the truth is 46 . An unbiased die is thrown by the same person twice and the person reports that the numbers appeared in both the throws are same. Then the probability that actually the numbers appeared in both the throws are same is __________ (round off to 2 decimal places). Q.21 - 42:11 - Let 𝑢(𝑥,𝑡) be the solution of the initial boundary value problem 𝜕𝑢𝜕𝑡−𝜕2𝑢𝜕𝑥2=0, 𝑥∈(0,2),𝑡 greater than 0 𝑢(𝑥,0)=sin(𝜋𝑥), 𝑥∈(0,2) 𝑢(0,𝑡)=𝑢(2,𝑡)=0. Then the value of 𝑒𝜋2(𝑢(12,1)−𝑢(32,1)) is __________ (in integer). For doubts/ queries, you can reach us at [email protected]