In this activity, students learn to create and edit a matrix using the matrix editor. They use various features in the calculator to perform elementary row operations and convert a matrix to its reduced row echelon form. Finally they verify important results and solve a variety of problems in matrix theory and linear algebra.

Before the Activity

Set up the calculator as explained in the activity

See the attached PDF file for detailed instructions for this activity

Print pages 91 - 101 from the attached activity PDF file for the class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

Create a matrix using the matrix editor, or from the home screen

Use the calculator to perform matrix-vector multiplication, and recognize the fact that the result will be a vector

Understand submatrices, and study matrix arithmetic

Use the matrix editor to edit a matrix

Create a matrix with complex number entries, and form its conjugate

Add the matrix and its conjugate, and store the result

Edit the result in the matrix editor and convert it into a real matrix

Create a matrix and reduce it to its echelon form using elementary row operations

Redimension the matrix by adding columns of zeros, if it has more rows than columns

Convert the entries in the row-reduced echelon form to fractions

Create a square matrix, and use the features of the calculator to determine its Eigen values and Eigen vectors

Use the Power Method to find the dominant eigen value and a corresponding eigen vector for the square matrix

Use the Gram-Schmidt process for finding an orthogonal basis

After the Activity

Students complete the exercises on the Activity sheet.

Review student results:

As a class, discuss questions that appeared to be more challenging