The transpose of a matrix is defined, and various properties are explored using numerical examples.
Associative and distributive properties of matrix multiplication and addition; multiplication by the identity matrix; definition of the transpose of a matrix; transpose of the transpose, transpose of a sum, transpose of a product
In this section we will back up and start simple. We begin with a definition of a totally general set of matrices, and see where that takes us.
Pre-class quiz (four questions) on matrix operations to be completed by students after having watched a pre-class video on the topic.