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Find the product for A and B with this matrices. A = 싫 3 A) 2 5 94 9 0 B=L 1-12 28 B) [36 " 8 c) 16 -g 10 -14 이 [대] 8 V २५ २३ 58 sou -2

Find the product for A and B with this matrices. A = 싫 3 A) 2 5 94 9 0 B=L 1-12 28 B) [36 " 8 c) 16 -g 10 -14 이 [대] 8 V २५ २३ 58 sou -2

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Title: Understanding Matrix Multiplication** **Subtitle: Finding the Product of Two Matrices** **Objective:** To calculate the product of matrices A and B and choose the correct result from the given options. **Given Matrices:** Matrix A: \[ A = \begin{bmatrix} 1 & 2 \\ 3 & 7 \end{bmatrix} \] Matrix B: \[ B = \begin{bmatrix} 5 & 8 & -2 \\ 5 & 0 & 4 \end{bmatrix} \] **Problem Statement:** Find the product \( A \times B \) and select the correct result from the options below. **Options:** A) \[ \begin{bmatrix} 5 & 24 & -12 \\ 9 & 0 & 28 \end{bmatrix} \] B) \[ \begin{bmatrix} 11 & 8 & 6 \\ 36 & 24 & 22 \end{bmatrix} \] C) \[ \begin{bmatrix} 11 & 8 \\ 16 & -2 \\ 10 & -14 \end{bmatrix} \] D) \[ \begin{bmatrix} 11 & 12 \\ 21 & 40 \end{bmatrix} \] **Instructions:** 1. **Calculate the Matrix Product:** - Multiply each element of the rows in matrix A by each element of the columns in matrix B. - Sum the products to find each element of the resulting matrix. 2. **Select the Correct Option:** - Compare your calculated product with the given options and select the correct one. **Note:** Remember that the number of columns in matrix A must equal the number of rows in matrix B for the multiplication to be valid. Here, matrix A is 2x2, and matrix B is 2x3, making the multiplication possible. This exercise helps in understanding the process of matrix multiplication, an essential operation in various fields including computer graphics, physics, and data science.
Transcribed Image Text:**Title: Understanding Matrix Multiplication** **Subtitle: Finding the Product of Two Matrices** **Objective:** To calculate the product of matrices A and B and choose the correct result from the given options. **Given Matrices:** Matrix A: \[ A = \begin{bmatrix} 1 & 2 \\ 3 & 7 \end{bmatrix} \] Matrix B: \[ B = \begin{bmatrix} 5 & 8 & -2 \\ 5 & 0 & 4 \end{bmatrix} \] **Problem Statement:** Find the product \( A \times B \) and select the correct result from the options below. **Options:** A) \[ \begin{bmatrix} 5 & 24 & -12 \\ 9 & 0 & 28 \end{bmatrix} \] B) \[ \begin{bmatrix} 11 & 8 & 6 \\ 36 & 24 & 22 \end{bmatrix} \] C) \[ \begin{bmatrix} 11 & 8 \\ 16 & -2 \\ 10 & -14 \end{bmatrix} \] D) \[ \begin{bmatrix} 11 & 12 \\ 21 & 40 \end{bmatrix} \] **Instructions:** 1. **Calculate the Matrix Product:** - Multiply each element of the rows in matrix A by each element of the columns in matrix B. - Sum the products to find each element of the resulting matrix. 2. **Select the Correct Option:** - Compare your calculated product with the given options and select the correct one. **Note:** Remember that the number of columns in matrix A must equal the number of rows in matrix B for the multiplication to be valid. Here, matrix A is 2x2, and matrix B is 2x3, making the multiplication possible. This exercise helps in understanding the process of matrix multiplication, an essential operation in various fields including computer graphics, physics, and data science.
Expert Solution
Step 1: Given

Consider the matrices 

A equals open square brackets table row 1 2 row 3 7 end table close square brackets comma space space B equals open square brackets table row 5 8 cell negative 2 end cell row 5 0 4 end table close square brackets

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