Identity Matrix Teacher Resources

Find a quick, concise explanation of an identity matrix. An example is given and clearly explained.

Video first explains and gives examples of identity matrices. Then explains what an inverse matrix is and shows how to calculate the inverse of a 2x2 matrix. [14:14]

Video first introduces the identity matrix and shows that when any vector is multiplied by the identity matrix the result is the original vector. Also shows that the columns of the identity matrix are called the standard basis for R^n....

Video first introduces the identity matrix and shows that when any vector is multiplied by the identity matrix the result is the original vector. Also shows that the columns of the identity matrix are called the standard basis for R^n....

Video first reviews how to find the transformation matrix using the identity matrix. Shows how to write a transformation matrix that reflects over the y-axis and scales the y-coordinates by a factor of 2. [15:13]

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]

[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...

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...

Video first reviews how to find the transformation matrix using the identity matrix. Shows how to write a transformation matrix that reflects over the y-axis and scales the y-coordinates by a factor of 2. [15:13]

Learners investigate matrices, determinants, and inverses. Topics include the identity matrix and inverse of a matrix. The resource consists of examples with detailed solutions and a quiz.

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.

Students explore operations with matrices. Topics examined are matrix addition, scalar multiplication, matrix multiplication, and identity matrices. Class notes and examples are included.

A video lesson that works through a concrete example to find the inverse of a 3 x 3 matrix. The original matrix is augmented by the identity matrix and then put in reduced row echelon form. The result of the row operations on the...

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...

Video reviews what the null space of a matrix is and how to calculate it, then relates it to linear independence. Shows that if the vectors are linearly independent then the null space is the zero vector. Also shows that if the null...

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...

Video reviews what the null space of a matrix is and how to calculate it, then relates it to linear independence. Shows that if the vectors are linearly independent then the null space is the zero vector. Also shows that if the null...

[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...

Models a problem where one must determine whether unknown matrices are zero or identity to make an equation true. [3:58]

Sixteen problems present a variety of practice working with identity and inverse matrices. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...

This lesson presents how to use elementary row operations to solve for a system of linear equations. It is 1 of 4 in the series titled "Using Elementary Row Operations to Solve for Systems of Equations."

This over view of matrices begins with an application to electronics using circuit equations. Examples are provided to demonstrate types of matrices, the identity matrix, addition and scalar multiplication of matrices.

This lesson presents how to use elementary row operations to solve for a system of linear equations.

This lesson presents how to use elementary row operations to solve for a system of linear equations. It is 4 of 4 in the series titled "Using Elementary Row Operations to Solve for Systems of Equations."