- 6 Define T R R By C T 21 12 X3 0 I2 I3 V 11 12 13 R T Represents The Orthogonal Projection On R On The 1 (27.55 KiB) Viewed 42 times
6. Define T: R³ → R³ by C T 21 12 x3 = 0 I2 I3 V[11, 12, 13]¹ € R³. T represents the orthogonal projection on R³ on the
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6. Define T: R³ → R³ by C T 21 12 x3 = 0 I2 I3 V[11, 12, 13]¹ € R³. T represents the orthogonal projection on R³ on the
6. Define T: R³ → R³ by C T 21 12 x3 = 0 I2 I3 V[11, 12, 13]¹ € R³. T represents the orthogonal projection on R³ on the yz-plane. (a) Prove that T is linear. (b) Find the standard matrix representation of T. (c) Prove that T(T(v)) = T(v), v € R³.