This article was reviewed by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University.
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Matrix transposes are a neat tool for understanding the structure of matrices. Features you might already know about matrices, such as squareness and symmetry, affect the transposition results in obvious ways. Transposition also serves purposes when expressing vectors as matrices, or taking the products of vectors. [1] X Research source If you're dealing with complex matrices, the closely related concept of a conjugate transpose will help you through many problems.