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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 15b
Capitolo 7, Problema 15b

In Exercises 9 - 16, find the following matrices: b. A - B
Matrices A and B for exercise 15 in college algebra, chapter on matrices and determinants.

Guida verificata passo dopo passo
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Step 1: Understand the problem. You are asked to find the matrix A - B, which means subtracting matrix B from matrix A. Both matrices A and B are 3x3 matrices, so subtraction is possible element-wise.
Step 2: Recall the rule for matrix subtraction. For two matrices A = [a_ij] and B = [b_ij] of the same size, the difference A - B is a matrix C = [c_ij] where each element c_ij = a_ij - b_ij.
Step 3: Write down the elements of matrices A and B clearly: A = \(\begin{bmatrix}\) 2 & -10 & -2 \\ 14 & 12 & 10 \\ 4 & -2 & 2 \(\end{bmatrix}\), B = \(\begin{bmatrix}\) 6 & 10 & -2 \\ 0 & -12 & -4 \\ -5 & 2 & -2 \(\end{bmatrix}\)
Step 4: Subtract corresponding elements of B from A. For example, the element in the first row and first column of A - B is 2 - 6, the element in the first row and second column is -10 - 10, and so on for all elements.
Step 5: Write the resulting matrix after subtraction by placing each computed element in its corresponding position to form the matrix A - B.

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Matrix Subtraction

Matrix subtraction involves subtracting corresponding elements of two matrices of the same dimensions. Each element in the resulting matrix is found by subtracting the element in matrix B from the element in matrix A at the same position.
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Adding & Subtracting Functions

Matrix Dimensions

For matrix operations like addition or subtraction to be valid, the matrices must have the same dimensions, meaning the same number of rows and columns. Here, both matrices A and B are 3x3, allowing element-wise subtraction.
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Introduction to Matrices

Element-wise Operations

Element-wise operations apply arithmetic operations to each corresponding element in matrices. In subtraction, this means subtracting each element of matrix B from the corresponding element of matrix A to form the new matrix.
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Performing Row Operations on Matrices
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