(1.4 hours to learn)
The matrix transpose is an operator which flips a matrix over its diagonal, i.e. it switches the row and column indices of the matrix.
This concept has the prerequisites:
- matrix multiplication (The transpose of a product is the product of transposes, reversed.)
Core resources (read/watch one of the following)
→ Khan Academy: Linear Algebra
- Lecture "Transpose of a matrix"
- Lecture "Transpose of a matrix product"
- Lecture "Transposes of sums and inverses"
- Lecture "Transpose of a vector"
→ Introduction to Linear Algebra
An introductory linear algebra textbook with an emphasis on numerical methods.
Location: Section 2.7, up to "Permutation matrices," pages 107-110
Supplemental resources (the following are optional, but you may find them useful)
→ A First Course in Linear Algebra (2012)
A linear algebra textbook with proofs.
→ Multivariable Mathematics
A textbook on linear algebra and multivariable calculus with proofs.
Location: Section 1.4.2, "The transpose," pages 36-38
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