---
tag: 0BJVDCF38Y
kind: concept
name: Square root of a positive semidefinite matrix
msc: [15A16, 15B57]
sources:
  - url: https://en.wikipedia.org/wiki/Square_root_of_a_matrix
    locator: Positive semidefinite matrices
---

## Summary

The square root of a positive semidefinite matrix $A$ is the unique positive semidefinite matrix $B$ with $B^2 = A$.