Question: Let A be a 3x3 matrix and u, v, w be linearly independent vectors in R- such that: Au = 2u, Av = 2v, Aw

Let A be a 3x3 matrix and u, v, w be linearly independent vectors in R- such that: Au = 2u, Av = 2v, Aw = 0. Which of the statements is not necessarily true? (Select option 5 if the first four statements are true). (1 mark) w is an eigenvector of A. O Span{u,v} is the eigenspace of A associated with eigenvalue 2. )u + w is an eigenvector of A associated with eigenvalue 2. 2u is an eigenvector of A associated with eigenvalue 2. All the statements are necessarily true

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