Let L : V → W be a mapping, where V and W are vector spaces. Which of the following is NOT always true? = ○ If L is a linear transformation, then L(u + v) u, v € V. L(u) + L(v) for all O If L is a linear transformation, then L(ru) = rL(u) for all u € V and scalar 1. O If L is a linear transformation, then L(0v) = Ow, where Oy is the zero vector in V while Ow is the zero vector in W. Olf L(ru + v) = rL(u)+L(v) for all u, v EV and scalar , then I is a linear transformation.
Let L : V → W be a mapping, where V and W are vector spaces. Which of the following is NOT always true? = ○ If L is a linear transformation, then L(u + v) u, v € V. L(u) + L(v) for all O If L is a linear transformation, then L(ru) = rL(u) for all u € V and scalar 1. O If L is a linear transformation, then L(0v) = Ow, where Oy is the zero vector in V while Ow is the zero vector in W. Olf L(ru + v) = rL(u)+L(v) for all u, v EV and scalar , then I is a linear transformation.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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