13.1 Matrices and Systems of EquationsSWBAT find the dimensions of a matrixSWBAT solve systems of equations using matrices

Dimensions of a Matrix

Row

Column

Find the dimensions of each matrix

Find the dimensions of each matrix

Solve using Row Reduction Echelon Form rref•Row Reduction echelon form is very

similar to solving systems using elimination (linear combination)

•Our goal is to get the values of x, y, and/or z.

Using the graphing calculator• Line up the variables and constant• Write as an augmented matrix• Go to Matrix (2nd Matrix)• Arrow to the right to Math and hit Alpha B

(rref)• Go to Alpha F3 and scroll over to the right

dimensions of your matrix• Enter your elements using the arrow left,

right, up, and down to move to each row and column

• Press enter• The last column is your answers to the system

Solve using Matrices

Answer is x =2 and y= 5

Solve using Matrices

X= 3, y=7, and z=-0.5

Solve using Matrices

Homework

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