Modify a 2 X 2 matrix being multiplied by another 2 X 2 matrix until their product is the identity matrix.

• Identify the inverse of the matrix
• Determine that if the determinant of a matrix is 0, then the matrix does not have an inverse

• Matrix
• Inverse
• Determinant
• Identity matrix

This lesson involves modifying a 2 X 2 matrix being multiplied by another 2 X 2 matrix until their product is the identity matrix. As a result, students will:

• Test their newly learned knowledge and determine the inverse of any 2 X 2 matrix.
• Determine that, if the determinant of a matrix is 0, then the matrix does not have an inverse.