DrDelMathCollege Algebra



Some additional links
1. Summary of elementary matrix theory
2. More about matrices
3. Elementary Row Operations
4. Elementary Row Operations Calculator
Example:
When it is desirable to emphasize the notation used for individual entries we use [a_{ij}]
instead of capital A to name the matrix.
Example:
Example:
Consider the following system of equations:
The corresponding coefficient matrix is:
and the augmented matrix is:
Example:
Elementary
Row Operations:
1. Interchange two rows
2. Multiply a row by a nonzero constant and replace that row with the product.
3. Add a multiple of a row to another row and replace one but not both of the rows with that sum.
DEFINITION:
Two matrices are row equivalent
if one can be obtained from the other by a sequence of elementary row operations.
Here are some additional links.
3. Matrix Multiplication
4. Matrix multiplication calculator
Show Example Show Example Show Example
The sample exercises referenced above are interactive. Instruction and learning depends on the reader pointing to items on the page to create popup explanations.
If you understand the previous material you should be able to answer the following questions.
Each of these questions should be answered. Most of these questions are included in the MyMathLab homework requirement. If a particular concept is difficult for you, you should study the related text material and then try to answer some additional questions from the list provided by the department. In each case you are expected to make an honest adult evaluation of your understanding of the concept. Your ability to answer these questions is one tool to help you make that evaluation.
Section 6.3 Exercise Set: All exercises 1  36.
Information about finding the inverse of a square matrix is found in the PDF file HERE.
Here are some links to additional websites about Matrix INVERSION.
1. Old Dominion University  Linear Algebra Calculators for Learning
2. Basic Lesson for Matrix Inversion
3. Finding
the Inverse of a Matrix
4. Finding
the inverse of a Matrix
If you understand the previous material you should be able to answer the following questions.
Each of these questions should be answered. Most of these questions are included in the MyMathLab homework requirement. If a particular concept is difficult for you, you should study the related text material and then try to answer some additional questions from the list provided by the department. In each case you are expected to make an honest adult evaluation of your understanding of the concept. Your ability to answer these questions is one tool to help you make that evaluation.
Section 6.4 Exercise Set: 1  12, 15, 17, 19, 21, 2529, 30, 31, 32, 37, 39, 40.
If you understand the previous material you should be able to answer the following questions.
Each of these questions should be answered. Most of these questions are included in the MyMathLab homework requirement. If a particular concept is difficult for you, you should study the related text material and then try to answer some additional questions from the list provided by the department. In each case you are expected to make an honest adult evaluation of your understanding of the concept. Your ability to answer these questions is one tool to help you make that evaluation.
Section 6.5 Exercise Set: All of 1  10, 27  32, 41, 42, 44, 49, 50.