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Section 22.2 Terminology and notation

transition matrix

the square matrix that converts between coordinate vectors relative to one basis \basisfont{B} of a finite-dimensional vector space and coordinate vectors relative to another basis \basisfont{B}' of that space; sometimes called the change of basis matrix for the two bases

\ucobmtrx{B}{B'}

the transition matrix from basis \basisfont{B} to \basisfont{B}'