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2.3 Modeling Real World Data with Matrices. Matrix – a rectangular array or terms called elements. Matrix – a rectangular array or terms called elements.

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Presentation on theme: "2.3 Modeling Real World Data with Matrices. Matrix – a rectangular array or terms called elements. Matrix – a rectangular array or terms called elements."— Presentation transcript:

1 2.3 Modeling Real World Data with Matrices

2 Matrix – a rectangular array or terms called elements. Matrix – a rectangular array or terms called elements. Elements are arranged in rows and columns and enclosed by brackets. 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. A matrix with m rows and n columns is an m x n matrix. The dimensions of the matrix and m and n. The dimensions of the matrix and m and n. Named using a capital letter. Named using a capital letter.

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

4 Addition – can add if same size Ex 3

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

6 Ex 4 Fins S – T.

7 Scalar multiplication – multiply each element of the matrix by the scalar. Ex 5Find 4A if A=

8 Matrix multiplication – the product of an m x n matrix and an n x r matrix is an m x r matrix. Ex 6 Ex 6 Find AB Find AB Find BC Find BC

9 Ex 7


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