I have recently replied to a comment posted by Ingeniero concerning the relation between contravariant/covariant vector components and basis vectors transformation matrix.

Hope it makes things clearer.

See the comment

## Einstein Relatively Easy |

- Riemann curvature tensor and Ricci tensor for the 2-d surface of a sphere
- Christoffel symbol exercise: calculation in polar coordinates part II
- Riemann curvature tensor part I: derivation from covariant derivative commutator
- Metric tensor exercise: calculation for the surface of a sphere
- Christoffel Symbol or Connection coefficient

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I have recently replied to a comment posted by Ingeniero concerning the relation between contravariant/covariant vector components and basis vectors transformation matrix.

Hope it makes things clearer.

See the comment