MATRICES MATTER!

What is a Matrix? A Matrix allows you to organize data from a chart of any kind. 67.9 37.4 11.3 5.6 68.7 31.7 13.0 9.1 2005-2006 Season Basketball Statistics Pts / Game Rebounds/Game Assists/Game Steals/Game University of Virginia 67.9 37.4 11.3 5.6 Virginia Tech 68.7 31.7 13.0 9.1

Types of Matrices A matrix is described by the numbers of rows and columns it has, specifically called the dimensions of the matrix. The number of rows is stated first. 9 3 6 7 0 2 4 1 5 -4 2 0 1 3 -6 3 X 3 -3 0 4 1 9 2 3 8 6 0 2 2 3 5 7 1 3 X 2 4 X 4

State the dimension of each matrix on the overhead. PRACTICE! State the dimension of each matrix on the overhead.

The Elements of a Matrix An element of a matrix is each individual entry. This element is in the first row and third column. 9 3 6 7 0 2 4 1 5 -4 2 0 1 3 -6 -3 0 4 1 9 2 3 8 6 0 2 2 3 5 7 1 This element is in the second row and second column. This element is in the third row and first column.

ADDING MATRICES

If two matrices have the same dimensions, you can add them If two matrices have the same dimensions, you can add them. If they do not have the same dimensions, it is impossible to add them. 3 7 2 3 1 4 + = 6 3 5 1 3

SUBTRACTING MATRICES

If two matrices have the same dimensions, you can also subtract them If two matrices have the same dimensions, you can also subtract them. If they do not have the same dimensions, it is impossible to subtract them. 2 4 1 3 1 1 - = 5 3 1 4 3

SCALAR MULTIPLICATION MATRIX

When you perform Scalar Multiplication, you multiply any matrix by a constant called a scalar. 6 12 2 4 = 3 5 3 15 9 The scalar