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**2.3 Modeling Real World Data with Matrices**

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**Matrix – a rectangular array or terms called elements.**

Elements are arranged in rows and columns and enclosed by brackets. A matrix with m rows and n columns is an m x n matrix. The dimensions of the matrix and m and n. Named using a capital letter.

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Two matrices are equal if and only if they have the same dimensions and are identical, element by element. Ex 2

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**Addition – can add if same size**

Ex 3

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**Additive Identity – for every matrix A, another matrix can be found so that their sum is A.**

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Ex 4 Fins S – T.

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**Scalar multiplication – multiply each element of the matrix by the scalar.**

Ex 5Find 4A if A=

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**Matrix multiplication – the product of an m x n matrix and an n x r matrix is an m x r matrix.**

Ex 6 Find AB Find BC

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Ex 7

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