[Merged by Bors] - feat: various linear algebra results #8572
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…balgebras are Abelian
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| /-- If `A` is an `R`-algebra, any `R`-linear map `M₁ → M₂` naturally induces an `A`-linear map | ||
| `A ⊗ M₁ → A ⊗ M₂`. -/ | ||
| def extendScalars : A ⊗[R] M₁ →ₗ[A] A ⊗[R] M₂ := |
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To my shame I have just discovered that this duplicates LinearMap.baseChange.
I will follow up with a PR to remove this definition (and probably expand the comment on LinearMap.baseChange to include the words "extension of scalars").
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I have split these out from #8583 to aid its review. I believe these changes make sense in their own right.