Question

Let T: IR IR be defined as T(\begin{bmatrix} a\\ b \end{bmatrix}) = T(\begin{bmatrix} 2a\\ 2a+2b \end{bmatrix}) . Prove or disprove that \mathbb{R}^2 can be written as the sum of two one-dimensional, T-invariant subspaces.

IR IR

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2a. 2.う 2 Note M-21 butM2b hoots 2

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