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**4.1 Introduction to Matrices**

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About Matrices A matrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns run vertically. The dimensions, or size, of a matrix are: # of rows X # of columns.

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Special Matrices Some matrices have special names because of what they look like. Row matrix: only has 1 row. Column matrix: only has 1 column. Square matrix: has the same number of rows and columns. Zero matrix: contains all zeros. Identity matrix: 1’s going down the main diagonal and zeros everywhere else

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**Dimensions: 4x1 COLUMN MATRIX Dimensions: 3x2**

Find the dimensions of each matrix. Dimensions: 4x1 COLUMN MATRIX Dimensions: 3x2 Dimensions: 2x4

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**Using Matrices to Solve Equations**

Equal Matrices - two matrices that have the same dimensions and each element of one matrix is equal to the corresponding element of the other matrix. *The definition of equal matrices can be used to find values when elements of the matrices are algebraic expressions.

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**Examples: Find the values for x and y**

* Since the matrices are equal, the corresponding elements are equal! Step 1: Form two linear equations. Step 2: Solve the system using any method.

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Plug y in to get x. Now check your answer:

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**Set each element equal and solve!**

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Benn Fox Hannah Weber. 324 08 Going vertically is called the column. The column is listed first. Going horizontally is called the row. The row is listed.

Benn Fox Hannah Weber. 324 08 Going vertically is called the column. The column is listed first. Going horizontally is called the row. The row is listed.

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