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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 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 a11= a22= 3
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
One Way Round Trip France $677 $1038 Mass. $274 $418 India $1064 $2869 China $764 $1194
Equal Matrices Two matrices are equal if and only if they have the same dimensions and are identical, element by element.
Find the values of x and y for which the matrix equation is true.
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.
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.
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.
Find 4A If A = , find 4A. 4 =
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.
How do you multiply matrices? (4)(-1)+(1)(0) (4)(3)+(1)(-2) (-2)(-1)+(6)(0) (-2)(3)+(6)(-2)
a. AB b. BC
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.