CK12 - Geometry

Matriceshavemanyapplicationsbeyondgeometry, but in this lessonwe’ll see how to use matricesto perform
a translationin a coordinateplane.

MatrixBasics

Simplystated,amatrixis an array(or arrangement)of numbersin rowsand columns.Bracketsare usually
usedto indicatea matrix.

is a matrix(read"two by threematrix").

• It has rowsand columns. Theseare thedimensionsof the matrix.


• The numbersin the matrixare calledtheelements.


• An elementis locatedaccordingto its placein the rowsand columns; is the elementin row , column

.

Matricescan representreal-worldinformation.

Example 1

A companyhas two warehousesin their EasternRegion,wherethey storethreemodelsof their product.

A matrixcan representthe numbersof eachmodelavailablein eachwarehouse.

EasternRegion

Model

Warehouse

Heretherownumberof an elementrepresentsthewarehousenumber, and thecolumnnumberrepresents
themodelnumber.

• Thereare itemsof Model in Warehouse.


• Thereare itemsof Model in Warehouse.

How manyitemsare in Warehouse altogether?

Use row. Thereare Model Model , and Model in Warehouse.

Thereare itemsin Warehouse.

How manyModel itemsare therealtogether?

Use column. Thereare in Warehouse and in Warehouse.

Thereare Model itemsin all.

Matricesin the CoordinatePlane

Matricescan representpointsin a coordinateplane.