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YouTubeMathematics - CSIR NET, GATE, SET & NBHM: IFAS
Orthogonal Projection | Linear Algebra | CSIR NET Maths
In this Reel, IFAS Expert Faculty focuses on the properties of Q = I – 2P, where P is an orthogonal projection matrix (P² = P, Pᵀ = P) of rank R. The key concepts covered: Involutory nature: Q² = I (because (I – 2P)² = I – 4P + 4P² = I). Orthogonality: Qᵀ = Q and Q² = I ⇒ QᵀQ = I. Eigenvalues: P has eigenvalues 1 ...
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