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1. (a) Find the matrix P that multiplies every vector (x, y, z) R 3 to produce the vector (x+2y, 2yz, 2z). Also find P

1. (a) Find the matrix P that multiplies every vector (x, y, z) R³ to produce the vector (x+2y, 2yz, 2z). Also find P 1 .

(b) Find the matrix P that multiplies every vector (x, y) R² to produce (2x + y, 2y, y x) R³ .

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