# Tutor profile: Chris V.

## Questions

### Subject: Linear Algebra

What is needed for a set to form a basis?

A set needs to span the vector space it is in and it must be linearly independent. A set spans the vector space if we can prove that every vector within that space can be written as a linear combination of the set. A set is linearly independent if there is no smaller subset that also spans the vector space.

### Subject: Inorganic Chemistry

Why is intercalation a positive attribute for electrode materials?

It allows for the migration of ions in a sample. This creates a potential gradient within the material, allowing for charge to flow through the sample. It also ensures that the electron and the resulting hole doesn't recombine, allowing for greater current.

### Subject: Chemistry

Why does carbon monoxide bind to hemoglobin more tightly than oxygen

Pi-bond back donation. When the carbon binds to the iron, the unstable triple bond between the carbon and the oxygen donates into the iron. This forms a tighter bond between the iron and the carbon. Since oxygen does not have this more unstable triple bond, no back donation occurs, leading to weaker interactions.

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