Handout
Math Notes and Math Tests

Pre Calculus Notes: The Inverse of a Square Matrix [Pdf]

For Students 9th - 10th Standards
Students explore the inverse of a square matrix. Topics examined are the inverse of a real number, using inverses to solve systems, and the determinant of a 2 x 2 matrix. Class notes and examples are included.
Handout
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.
Handout
Math Notes and Math Tests

Pre Calculus Notes: The Determinant of a Square Matrix [Pdf]

For Students 9th - 10th Standards
The resource investigates the determinant of a square matrix. Topics examined are computing determinants, Sarrus?s rule, and the cross product of two vectors. Class notes and examples are included.
Activity
Analyze Math

Analyze Math: Matrix Addition and Multiplication

For Students 9th - 10th Standards
Learners explore the discrete mathematics topic of matrices. The tutorial demonstrates how to add and multiply matrices. Some topics explored are scalar multiplication, multiplication of two matrices, square matrices, and addition of two...
Unit Plan
CK-12 Foundation

Ck 12: Inverse Matrices

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] A collection of resources that teaches students that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1...
Unit Plan
CK-12 Foundation

Ck 12: Matrix Multiplication

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] A collection of resources that teach students that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but...
Unit Plan
CK-12 Foundation

Ck 12: Determinants

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant...
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Using Orthogonal Change of Basis Matrix Example

For Students 9th - 10th Standards
Video defining an orthogonal matrix as a square matrix C whose columns form an orthonormal set. Shows that C will be invertible and that multiplying C transpose by C will result in the identity matrix. The result that C transpose equals...
Handout
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...
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Simplifying Conditions for Invertibility

For Students 9th - 10th Standards
A video lesson explaining that a transformation matrix is invertible if and only if it is a square identity matrix in reduced row echelon form. This video is also found in the strand Algebra: Matrices. [6:37]
Handout
Purple Math

Purplemath: Minors and Cofactors: Expanding Along a Row

For Students 9th - 10th Standards
A "minor" is the determinant of the square matrix formed by deleting one row and one column from some larger square matrix. To find the determinant of the matrix A, you have to pick a row or a column of the matrix, find all the cofactors...
Instructional Video
Khan Academy

Khan Academy: Using Orthogonal Change of Basis Matrix

For Students 9th - 10th Standards
Video defining an orthogonal matrix as a square matrix C whose columns form an orthonormal set.
Instructional Video
Khan Academy

Khan Academy: Simplifying Conditions for Invertibility

For Students 9th - 10th Standards
A video lesson explaining that a transformation matrix is invertible if and only if it is a square identity matrix in reduced row echelon form.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Inverse Matrices

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the inverse of a 2 x 2 matrix. Students can look at guided notes and then attempt practice problems.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Matrix Multiplication

For Students 9th - 10th Standards
Students learn about matrix multiplication. Topics examined are identity matrices and properties of matrix multiplication. The tutorial consists of class notes, examples, and practice problems. Review exercises and a chapter quiz are...
Instructional Video
Other

Identity Matrix and Inverses

For Students 9th - 10th Standards
Explains what is meant by an identity matrix and why it is important. This is followed by a discussion of inverses. Examples and explanations are very clear. [13:45]
Activity
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Identity Matrix

For Students 9th - 10th Standards
Find a quick, concise explanation of an identity matrix. An example is given and clearly explained.
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Determinant of a Matrix

For Students 9th - 10th Standards
Find a quick, concise explanation of how to find the determinant of a matrix. Several examples are given and clearly explained.

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