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Ch. 6 - Matrices and Determinants
Blitzer - College Algebra 8th Edition
Blitzer8th EditionCollege AlgebraISBN: 9780136970514Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoBlitzer 8th EditionCh. 6 - Matrices and DeterminantsProblema 14a
Capitolo 7, Problema 14a

In Exercises 9 - 16, find the following matrices: a. A + B
Matrices A and B for exercise 14 in college algebra, chapter on systems of equations.

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Step 1: Identify the matrices A and B. Here, A = [6 2 -3] and B = [4 -2 3]. Both are 1x3 matrices (one row, three columns).
Step 2: Understand that matrix addition requires matrices to be of the same dimension. Since both A and B are 1x3, we can add them element-wise.
Step 3: Add the corresponding elements of matrices A and B: add the first elements (6 + 4), the second elements (2 + (-2)), and the third elements (-3 + 3).
Step 4: Write the resulting matrix from the sums of each corresponding element to get A + B.
Step 5: Express the final matrix as a 1x3 matrix with the sums calculated in the previous step.

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Matrix Addition

Matrix addition involves adding corresponding elements from two matrices of the same dimensions. Each element in the resulting matrix is the sum of elements in the same position from the original matrices. For example, if A and B are both 1x3 matrices, then (A + B) is also a 1x3 matrix where each element is A[i] + B[i].
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Matrix Dimensions and Compatibility

To add two matrices, they must have the same dimensions, meaning the same number of rows and columns. If matrices differ in size, addition is undefined. In this problem, both A and B are 1x3 matrices, so addition is possible and straightforward.
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Introduction to Matrices

Representation of Matrices

Matrices are rectangular arrays of numbers arranged in rows and columns. They can represent data or systems of equations. Understanding how to read and write matrices, such as A = [6 2 -3], is essential for performing operations like addition or multiplication.
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