Chapter 2 Systems of Linear Equations and Matrices. Section 2.4 Multiplication of Matrices. Writing Systems of Equations in Abbreviated Form. Consider the following system of equations with three unknowns. 2x + y – z = 2 x + 3y + 2z = 1 x + y + z = 2
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Multiplication of Matrices
2x + y – z = 2
x + 3y + 2z = 1
x + y + z = 2
This system can be written in an abbreviated
1.) -5A 2.) 2B
Notice that when you multiply a 2 X 3 matrix with a 3 X 1 matrix, the product is a 2 X 1 matrix.
Use the matrices defined above to find the following
products, if they exist.
1.) AF 2.) AC 3.) DE
4.) ED 5.) BD 6.) EA