
# 10: Change of bases


In Section 6.6, we saw that linear operators on an n-dimensional vector space are in one-to-one correspondence with $$n \times n$$ matrices. This correspondence, however, depends upon the choice of basis for the vector space. In this chapter we address the question of how the matrix for a linear operator changes if we change from one orthonormal basis to another.

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This page titled 10: Change of bases is shared under a not declared license and was authored, remixed, and/or curated by Isaiah Lankham, Bruno Nachtergaele, & Anne Schilling.