Monthly Archives: February 2013

3. Matrix Operations: Dot Products and Inverses

We cannot simply multiply matrices the way we add and scalar multiply. The dot product combines two matrices, not necessarily of the same dimension into a third matrix. Understand the location of each element will help you understand the location … Continue reading

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2. Matrix Operations- Addition and Scalar Multiplication

We are able to perform operations on matrices as long as their dimensions match up. In terms of matrix addition, this means the dimensions of the matrix are identical. We simply add the elements in the same corresponding position and … Continue reading

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1. The Basics of Matrices

In mathematics, a matrix is an array of numbers arranged in rows and columns. We generally use matrices to represent one or more equations to simplify their solution. A matrix is made up of elements within those rows and columns. … Continue reading

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Systems Involving Non Linear Equations

As expected, solving systems of linear equations can be extended into systems involving non linear equations such as quadratic equations. Examples of quadratic equations include parabolas, circles, ellipses, and hyperbolas. One important distinction between these systems and the previous linear … Continue reading

Posted in Lesson 07: Systems of Equations and Inequalities, Lesson 10: Quadratic Equations and Functions, Lesson 11: Radicals and Geometry Connections | Leave a comment

4. Interpreting Expressions

Interpreting the parts of expressions and equations gives students a basic level of understanding that is vital to higher level processes. This “vocabulary” knowledge in mathematics holds the key to future understanding of theorems, solving equations, and working with complex … Continue reading

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