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# Finding Matrix Elements

**Keywords:**matrix, vector, bra-ket

### Highlights of the activity

- Students review the ideas of projecting a vector onto a basis vector and “operating on” a vector with a matrix using bra-ket notation.
- Students carry out explicit matrix and bra-ket calculations to find matrix elements, e.g., $\langle2|A|1\rangle$.

### Reasons to spend class time on the activity

This activity helps students to practice using basis vectors to extract elements from a matrix in both matrix language and in bra-ket notation.