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⚡ Important Qs📅 PYQs📖 NCERT Solutions

Matrices Determinants - Previous Year Questions

🏆 Daily Math Board Challenge (2026 Edition)
Check whether (x + 1)² = 2(x − 3) is a quadratic equation.
🎯 Chapter Readiness Score35%
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⚡ Key Formulas at a Glance
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Cramer's Rule (3D System)
x = Δx/Δ, y = Δy/Δ, z = Δz/Δ (Δ≠0 unique, Δ=0 infinite/no sol)
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Characteristic Equation
|A − λI| = 0 ⇒ Cayley-Hamilton Theorem A satisfies own eq
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Adjoint Determinant
|adj(A)| = |A|ⁿ⁻¹,   |adj(adj(A))| = |A|(n−1)²
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Orthogonal Matrix
A × Aᵀ = Aᵀ × A = I ⇒ |A| = ±1
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