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Happy Maau Studios

Math Ref

For Students 7th - 12th
Forgot how to multiply matrices? Well, this app can help. It is like a gigantic, well-organized reference card for all things math. Customize your personal reference material by adding your own notes and build up a personalized list of...
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Chapman University

Fundamental Theorems of Mathematics

For Teachers 9th - Higher Ed
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are...
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Wolfram Research

Wolfram Math World: Math World: Matrix Multiplication

For Students 9th - 10th Standards
Explains how to perform matrix multiplication, including how to perform products on two block matrices. Also has links to related topics.
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Wolfram Research

Wolfram Math World: Determinant

For Students 9th - 10th Standards
This site has a good definition and examples of determinants, the site begins by explaining what the value of a determinant is, then gives an example of the determinant of a two by two matrix, a generic formula for finding the...
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Johan Claeys

Math Abundance: An Introduction to Matrices

For Students 9th - 10th Standards
An excellent site on matrices.
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Wolfram Research

Wolfram Math World: Diagonal Matrix

For Students 9th - 10th Standards
This site gives a definition and examples of a diagonal matrix. The site also contains many links to other related Math World sites.
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Varsity Tutors

Varsity Tutors: Hotmath: Solving Systems of Linear Equations Using Matrices

For Students 9th - 10th Standards
Find a concise explanation of how to solve systems of linear equations using matrices. An example is given and clearly explained.
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Wyzant

Wyzant: Solving Systems of Equations by Matrix Method

For Students 10th - 12th Standards
Reference material with examples of how to solve system of equations by the matrix method.
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Varsity Tutors

Varsity Tutors: Hotmath: Inverse of a Matrix

For Students 9th - 10th Standards
Find a concise explanation of the inverse of a matrix. An example is given and clearly explained.
Handout
University of Minnesota

University of Minnesota: Math Insight: Multiplying Matrices and Vectors

For Students 9th - 10th Standards
A clear explanation of how to multiply a matrix by a vector and a matrix by a matrix. A follow-up page provides additional examples.
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Purple Math

Purplemath: Matrix Inversion: Finding the Inverse of a Matrix

For Students 9th - 10th Standards
Inverse matrices are very useful for solving matrix equations. But, given a matrix, how do you invert it? How do you find the inverse? The technique for inverting matrices is kind of clever. For a given matrix A and its inverse A-1, we...
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Wolfram Research

Wolfram Math World: Matrix

For Students 9th - 10th Standards
From Mathworld.com as site on Maxtricies. Includes formulas, definitions, and links to related articles.
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Wolfram Research

Wolfram Math World: Multiplicative Inverse

For Students 9th - 10th
This site explains multiplicative inverse in nonzero real and complex numbers, as well as matrices. Also discusses how to detect the multiplicative inverse of complex numbers in a table.
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Wolfram Research

Wolfram Math World: Trigonometric Addition Formulas

For Students 9th - 10th Standards
This tutorial offers formulas and explanations on trigonometric addition formulas and features an easy way to remember the sine and cosine addition formulas using matrices.
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Oak Ridge National Laboratory

Ornl: 7 Gaussian Elimination on Band Matrices

For Students 9th - 10th Standards
This site gives an example of solving a system of equations with the use of Gaussian Elimination.
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Wolfram Research

Wolfram Math World: Rotational Transformation Matrix

For Students 9th - 10th Standards
Math World offers the transformational matrix that allows us to rotate a two dimensional coordinate which in turn rotates the image. The page also offers the transformational matrix for rotation in three dimensions.
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Wolfram Research

Wolfram Math World: Zero Matrix

For Students 9th - 10th Standards
This site from MathWorld.com briefly explains what a zero matrix is and contains links to related topics.
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Wolfram Research

Wolfram Math World: Square Matrix

For Students 9th - 10th Standards
This resource gives a brief definition of a square matrix, click on the highlighted terms for more information on matrices.
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Other

Math Works: Directed and Undirected Graphs

For Students 10th - 12th
A graph is a collection of nodes and edges that represents relationships. You can use graphs to model a wide variety of systems. View examples of directed and undirected graphs and how they are constructed in this resource.
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Wolfram Research

Wolfram Math World: Determinant Expansion by Minors

For Students 9th - 10th
This MathWorld site explains the technique for finding the determinant using minors. The site also suggests to use this method only on small matrices, giving a link to Guassian elimination for the alternative(larger matrices.) The site...
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Wolfram Research

Wolfram Math World: Minor

For Students 9th - 10th
This site explains what a minor is relative to matrix manipulations and gives insight on how to use the program "Mathmatica" involving minors.
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Wolfram Research

Wolfram Math World: Perpendicular Vectors

For Students 9th - 10th Standards
Come to this site to find the transformational matrix to find the vector rotated 90 degrees from the original. The site also states the special relationship between two perpendicular vectors when using the dot product.
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University of St. Andrews (UK)

University of St. Andrews: James Joseph Sylvester

For Students 9th - 10th
This site, which is provided for by the University of St Andrews, gives a biography of James Sylvester, mathematician. Links to other interesting sites are provided as well.

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