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2.3 Modeling Real World Data with Matrices

2.3 Modeling Real World Data with Matrices. 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.

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2.3 Modeling Real World Data with Matrices

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  1. 2.3 Modeling Real World Data with Matrices

  2. 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.

  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 • Find AB • Find BC

  9. Ex 7

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