Chapter 03 Competencies - Advanced Algebra

Number Section Skill
1 3.1 Determine the dimensions of a matrix; find certain elements within the matrix.
2 3.1 Store data in matrices.
3 3.1 Find the value of variables within equal matrices.
4 3.2 Solve a matrix equation for a missing matrix.
5 3.2 Determine whether a matrix multiplication is possible.
6 3.2 Predict the dimensions of the result of a matrix multiplication.
7 3.3 Perform matrix multiplication and scalar multiplication.
8 3.3 Set up and use a matrix multiplication to answer a question regarding prices and inventory. (ie. The Standard Hardware Company or the Snowline Development Group.)
9 3.4 Shift figures left or right and/or up and down on the graph using matrix addition.
10 3.4 Increase or decrease the size of a figure on the graph using scalar multiplication.
11 3.5 Represent networks and directed networks using matrices.
12 3.5 Draw a network or directed network that is represented by a matrix.
13 3.6 Find the inverse of a matrix, and know when the inverse of a matrix does not exist.
14 3.6 Identify the determinant of a matrix.
15 3.6 Use the inverse of a matrix to solve a matrix equation involving multiplication.
16 3.6 Use matrix multiplication to code a message and the inverse of a matrix to decode a message.
17 Other Use dominance matrices to determine the 'power ranking' of sports teams based on previous win/loss data.