Which of the following functions are linear transformations

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Reference no: EM13920265

1. Which of the following functions are linear transformations?

(a) L: R₂ → R₃ define by

L([u₁ u₂]) = [u₁ u₂ u₁ + u₂]

(b) L: R₂ → R₃ defined by

L([u₁ u₂]) = [u₁ + u₂ u₂ u₂ - 1]

2. Find the standard matrix representing each given linear transformation.

(a) L: R² → R³ defined by L

	u₁	0
L	u₂	u₁

(b) L: R² → R³ defined by

3. Let L: R³ → R² be a linear transformation for which w know that

(a) What is L

1
L -2
3

(b) What is L

     u₁
L   u2
     u₃

Reference no: EM13920265

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