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2-3 Modeling Real-World Data with Matrices

2-3 Modeling Real-World Data with Matrices. Objectives: Model data using matrices. Add, subtract, and multiply matrices. Matrix – rectangular array of terms Elements – terms that are arranged in a matrix in rows and columns. m x n matrix. a 11 = a 22 =. 3. Organize Data. Paris, France.

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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 Objectives: Model data using matrices. Add, subtract, and multiply matrices

  2. Matrix – rectangular array of terms Elements – terms that are arranged in a matrix in rows and columns

  3. m x n matrix a11= a22= 3

  4. Organize Data Paris, France Cape Cod, Massachusetts Dubai, India Beijing, China OW $1064 OW $677 RT $418 RT $1038 RT $2869 OW $274 OW $764 RT $1194

  5. One Way Round Trip France $677 $1038 Mass. $274 $418 India $1064 $2869 China $764 $1194

  6. Equal Matrices Two matrices are equal if and only if they have the same dimensions and are identical, element by element.

  7. Find the values of x and y for which the matrix equation is true.

  8. Addition of Matrices The sum of two m x n matrices is an m x n matrix in which the elements are the sum of the corresponding elements of the given matrices.

  9. Find A + B

  10. Subtraction of Matrices The difference A – B of two m x n matrices is equal to the sum A + (-B), where –B represents the additive inverse of B.

  11. Scalar Product The product of a scalar k and an m x n matrix A is an m x n matrix denoted by kA. Each element of kA equals k time the corresponding element of A.

  12. Find A - B

  13. Find 4A If A = , find 4A. 4 =

  14. Product of Two Matrices The product of an m x n matrix A and an n x r matrix B is and m x r matrix AB.

  15. How do you multiply matrices? (4)(-1)+(1)(0) (4)(3)+(1)(-2) (-2)(-1)+(6)(0) (-2)(3)+(6)(-2)

  16. a. AB b. BC

  17. Assignment p. A16 Calculator and Matrices Pg. 83 (19-22, 26, 27-45 multiple of 3) *Make sure for the multiple of 3 problems the numbers that you do are divisible by 3.

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