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Class Opener:
• Solve the following system of equations using your calculator:
1.
Identifying Matrices
• A matrix is a rectangular array of numbers written with brackets. You represent a matrix with a capital letter and classify it by its dimensions. The number of horizontal rows and the number of vertical columns determine the dimensions of a matrix.
Student Check:• Write the dimensions of each matrix:
Matrix Element:
• Each number in a matrix is a matrix element. You identify a matrix element by its position within the matrix.
• You will always list the row before the column.
Matrix Element Example:
• Identify element in matrix A below:
Student Check:
• Identify each matrix element for the following matrix:
a. Find b. Find
Matrix Addition
• You preform matrix addition on matrices with equal dimensions by adding the corresponding elements, which are elements in the same position in each matrix.
Using Our Calculators
• We can use our calculators to add matrices.
• Add the following matrices:
Subtracting Matrices:
• As long as you are using your calculator you subtract matrices just like you add them.
• You must make sure that the dimensions are the same to add and subtract matrices.
Matrix Equation:
• A matrix equation is an equation in which the variable is a matrix. You can use addition and subtraction properties of equality to solve matrix equations:
Example:
• Solve for Matrix X:
Student Practice:
• Complete the following worksheet: