We review Set Language and Matrices.
A set is a well-defined collection of distinct objects. We talk about how to describe a set, the concept of an element, a subset, when two sets are equal. We also talk about the universal set, the empty set, the complement set for a set, the set union and intersection operations.
We talk about the Venn diagram to represent sets.
We also go over some more practice with matrices.
Homework: From the three page2 below: #1 – #5, #11 – #14, #15 – #17
We spend more time on matrix multiplication by doing more practice questions.
Homework:
Workbook Page 23, #14 – #16, #20, #22 – #24.
We study multiplication of a matrix by a scalar and multiplication of two matrices.
A matrix can be multiplied by a real number (usually called a scalar). If k is a scalar, then the scalar multiplication of a matrix A by k, denoted by kA, is obtained by multiplying every element of A by k.
Matrices multiplication is defined as follows:
If A is a matrix of order m x n and B a matrix of order n x p, then the product AB is a matrix of order m x p whose element at the ith row and jth column is the sum of the products of the corresponding elements in the ith row of A and jth column of B.
If the column number of A is not equal to the row number of B, then AB is undefined.
We introduce Identity Matrix of order n, which has 1 on its major diagonal line and 0 anywhere else..
Homework:
Workbook Page 21, #7, #10 – #12, #18, #19.
