Inverse of a 3x3 matrix

The  exercise appears under the Precalculus Math Mission. This exercise practices finding the inverse of a 3x3 matrix.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find the inverse: This problem provides a three by three matrix. The student is expected to find the inverse of the matrix and fill it in on the generic matrix template.Ioa3b3m1.png

Strategies
Knowledge of the mechanics behind calculating determinants and finding inverses of matrices are encouraged to ensure success on this exercise.
 * 1) The inverse of a 3x3 matrix is often performed with technology in actual practice.
 * 2) To calculate the inverse, one can adjoin the matrix with the 3x3 identity and then find the reduced row-echelon form of this matrix.
 * 3) A matrix inverse functions as a pseudo-division in matrix algebra.

Real-life Applications

 * 1) Matrices are the foundational concept in linear algebra.
 * 2) Matrices can be a method for efficiently solving systems of linear equations.