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Notes: 2-3 Matrices matrix: a rectangular array of terms called elements array: an arrangement of data row matrix: has only one row column matrix:

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1 Notes: Matrices matrix: a rectangular array of terms called elements array: an arrangement of data row matrix: has only one row column matrix: has only one column

2 m x n matrix: has “m” rows and “n” columns (dimensions = m by n)
example: 3 by 2 matrix 

3 square matrix: has same number of rows and columns nth order: refers to square matrices rd order 3x3 matrix th order 4x4 matrix

4 When adding/subtracting matrices:
Matrices must have equal dimensions so you can add/subtract the elements in “matching” positions.

5 Data from the National Endowment of the Arts
EXAMPLE: Percent of people listening or watching performances. Data from the National Endowment of the Arts Find the difference in arts patronage from 1982 to 1992. Which areas saw the greatest increase and decrease?

6 When multiplying matrices: The number of columns in the 1st matrix must be equal to the number of rows in the 2nd matrix in order to find a solution. a single value Apply row 1 to column 1 Apply row 1 to column 2 Note: If the 1st matrix had an additional row, it would then apply to columns one and two, which creates more entries.

7 Multiplication example:

8 Check even answers


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