Take $A\in M_{2}(\mathbb{R})$ then I am asked to find the invariant subspaces of $\mathbb{C^2}$ under $A$. Obviously $\mathbb{C^2}$ is one of them trivially. However, I was thinking can $\mathbb{R^2}$ be also an invariant subspace of $A$?
2026-03-25 14:21:22.1774448482
invariant subspaces of a matrix over complex
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