Download 3.5 Perform Basic Matrix Operations

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Transcript
3.5 Perform Basic Matrix
Operations
Add Matrices
Subtract Matrices
Solve Matric equations for x and y
Key Vocabulary:
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Matrix:
Dimensions:
Elements:
Equal:
Scalar:
Scalar Multiplication:
Dimensions and Elements
• Name the dimensions of the matrices and
how many elements are in each matrix.
• Ex:
Adding and Subtracting Matrices
• To add or subtract matrices, simply add or
subtract elements in corresponding positions.
• Add two matrices together:
• Subtract two matrices:
Multiply a Matrix by a Scalar
• Scalar: a real number used to multiply to each
element in the matrix.
Ex:
Solve a Matrix Equation:
• Step 1: Identify the variables in the matrices.
• Step 2: Set up equations using elements in
corresponding positions from all the matrices.
• Step 3: Solve the equation for the variable.
• Ex: