(16) 4. Define a homomorphism h: R R3 by h X1 X2 X3 = x1 -...

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(16) 4. Define a homomorphism h: R³ R3 by h X1 X2 X3 = x1 - x2 + 2x3 -x12x2 + x3 2x1 + x2 + x3 (a) Is h one-to-one? Explain. (b) Is h onto? Explain. (c) If possible, find a vector such that h() = b = N₁ 3 (16) 4. Define a homomorphism h: R³ R3 by h X1 X2 X3 = x1 - x2 + 2x3 -x12x2 + x3 2x1 + x2 + x3 (a) Is h one-to-one? Explain. (b) Is h onto? Explain. (c) If possible, find a vector such that h() = b = N₁ 3