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Published byNadia Bate Modified over 2 years ago

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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. a)Row matrix: only has 1 row. b)Column matrix: only has 1 column. c)Square matrix: has the same number of rows and columns. d)Zero matrix: contains all zeros. e)Identity matrix: 1’s going down the main diagonal and zeros everywhere else

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Find the dimensions of each matrix. Dimensions: 3x2 Dimensions: 4x1 COLUMN MATRIX 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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* Since the matrices are equal, the corresponding elements are equal! Step 1: Form two linear equations. Step 2: Solve the system using any method. Examples: Find the values for x and y

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

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Set each element equal and solve!

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