This JEE Main Question Hides Complex Numbers Inside a Matrix #iitjee #iit #iitjeemaths #maths

A matrix equation. A non-real number. And a final step where "just solve for α" is exactly the wrong instinct. This JEE Main 2025 question links two chapters that rarely meet — matrices and complex numbers — inside a single problem. Multiply a row vector into a 3×3 matrix to pin down two unknowns, then use those unknowns as exponents on α, a root of x² + x + 1 = 0. The twist: α is non-real, which means the very last algebraic step isn't algebra you've seen before — it's complex number logic hiding in plain sight. In this video: → Full step-by-step solve, no assumed background → Correctly multiplying a row vector into a matrix — and the setup mistake that silently ruins this question → Why α being a root of x²+x+1=0 means α³=1, and how that turns an intimidating exponent like α⁻⁶ into a 1-second calculation → The real reason (m−7)+(n−4)α=0 forces both m=7 and n=4 — explained from the ground up, not just quoted as a rule → Full Mistake Clinic, including the exact wrong move students make when they try to "solve for α" Two chapters. One question. One habit worth building: recognize the familiar tool hiding behind unfamiliar notation. Why Before What. Pattern dekhna seekho. #JEEMain2025 #JEEMains2026 #ComplexNumbers #Matrices #CubeRootsOfUnity #JEEMaths #IITJEE #MathsForJEE #JEEPreparation #PYQDecoded #JEEMainMaths #CompetitiveMaths #NCERTToJEE #JEE2026 #LinearIndependence