Lecture 10: Matrix Addition, Scalar Multiplication, Transposition (Nicholson Section 2.1)

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Description: Up to now, matrices have been used as a form of short-hand for solving systems of linear equations. Now we’re going to start doing algebra with matrices --- adding matrices, multiplying matrices, and so forth. To do this, I started by introducing the language of matrices in terms of entries. Defined square matrices, upper triangular matrices, lower triangular matrices, diagonal matrices.

15:00 --- how to add matrices, how to multiply a matrix by a scalar (i.e. by a real number in this class).

20:00 --- defined the transpose of a matrix and discussed its properties.