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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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![Perform the operation, if possible; \( A \times B \)
\[ A = \begin{bmatrix} 2 & 2 \\ 1 & -1 \end{bmatrix} \]
\[ B = \begin{bmatrix} 1 & 2 & -1 \\ 0 & 3 & -4 \end{bmatrix} \]
This exercise involves finding the product of two matrices, \( A \) and \( B \). Matrix \( A \) is a \( 2 \times 2 \) matrix, and matrix \( B \) is a \( 2 \times 3 \) matrix. To perform matrix multiplication \( A \times B \), the number of columns in matrix \( A \) must equal the number of rows in matrix \( B \).](https://content.bartleby.com/qna-images/question/bee37be5-3cea-44ce-a77d-5c5729088084/11777985-030c-460d-89a7-3dd61bb68f47/m9hpevn_thumbnail.png)
Transcribed Image Text:Perform the operation, if possible; \( A \times B \)
\[ A = \begin{bmatrix} 2 & 2 \\ 1 & -1 \end{bmatrix} \]
\[ B = \begin{bmatrix} 1 & 2 & -1 \\ 0 & 3 & -4 \end{bmatrix} \]
This exercise involves finding the product of two matrices, \( A \) and \( B \). Matrix \( A \) is a \( 2 \times 2 \) matrix, and matrix \( B \) is a \( 2 \times 3 \) matrix. To perform matrix multiplication \( A \times B \), the number of columns in matrix \( A \) must equal the number of rows in matrix \( B \).
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- Evaluate.arrow_forward. Let v = ⟨−1,3⟩. Draw v, −2v, and 3v in standard position.arrow_forwardA ezto.mheducation.com Saved 3 attempts left Check my work H There are two 2-digit numbers that satisfy the following conditions: (1) each number has the same digits; Sol (2) the sum of the digits in each number is 10; Guidedi (3) the difference between the two numbers 54. What are the two numbers? a. The numbers 58 and 85 are 2–digit numbers that have the same digits, and the sum of the digits in each number is 13. Find two 2-digit numbers such that the sum of the digits is 10 and both numbers have the same digits. 46 and 64 b. Since there are only 9 two-digit numbers whose digits have a sum of 10, the problem can be easily solved by guessing. What is the difference of your two 2–digit numbers from part a? 72 c. Continue to guess and check. Which pair of numbers has a difference of 54? and d. This problem can be extended by changing the requirement that the sum of the two digits equals 10. Solve the problem for the case in which the digits have a sum of 12 and a difference of 54. and…arrow_forward
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