jdlogo

jdlogo

jdlogo

jdlogo

jdlogo

Home

Coordinates,Distance and Midpoint

Linear Inequalities

The Graphical Method

Substitution & Elimination

Solving Systems Using Matrices

Problem Solving

Systems of Inequalities

Systems with 3 Equations in 3 Unknowns

Review&Test

UNIT 2 : SYSTEMS OF EQUATIONS

LESSON 5 : SOLVING SYSTEMS USING MATRICES

 

 

Definition: A matrix is a rectangular array of numbers consisting of

rows and columns as below.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Note: The Matrix Method may be used in place of either elimination or substitution.

 

 

Rectangular Callout: Strategies for the Matrix Method.
	Write the system in matrix form using the coefficients and constant termsonly.
	Find the LCM for the coefficients of either x or y.  This will be the common coefficient.
	Multiply both rows by appropriate numbers to obtain this common coefficient.
	Add the 2 rows if the coefficients have different signs.
	Subtract the 2 rows if the coefficients have the same sign.
	Replace the second row by the result of the row operations above.
	Return to Equation Form  there should be a zero in one of the first two positions of the second row.
	Solve for the remaining variable.
	Substitute the value of the solved variable in one of the original equations.
	Solve for the second variable.

 


NOTE: See lesson 8, Solving Systems with 3 Equations in 3 Unknowns for a more complete discussion

Of Solving Systems of Equations with Matrices.

 

 

Return to top of page

Click here to go to homework questions