Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Related questions
Question
Please specify the answer for each step when answering the question and draw a
![**Problem Statement:**
Find values for the variables so that the following matrices are equal.
\[
\begin{bmatrix}
x & 4y \\
z & 6
\end{bmatrix}
=
\begin{bmatrix}
18 & 12 \\
1 & 6
\end{bmatrix}
\]
**Solution:**
To find the values of variables \( x \), \( y \), and \( z \), equate corresponding elements of the matrices:
1. For the element in the first row and first column:
\[ x = 18 \]
2. For the element in the first row and second column:
\[ 4y = 12 \]
\[ y = \frac{12}{4} = 3 \]
3. For the element in the second row and first column:
\[ z = 1 \]
Given the above equations, we solve for each variable:
**x =** \([18]\) (Simplify your answer.)
**y =** \([3]\) (Simplify your answer.)
**z =** \([1]\) (Simplify your answer.)](https://content.bartleby.com/qna-images/question/c29afaca-2bcc-449e-b541-aa3eef827b4a/16464a4d-a232-4924-9d7d-3b276a884897/5yu93tn_processed.jpeg)
Transcribed Image Text:**Problem Statement:**
Find values for the variables so that the following matrices are equal.
\[
\begin{bmatrix}
x & 4y \\
z & 6
\end{bmatrix}
=
\begin{bmatrix}
18 & 12 \\
1 & 6
\end{bmatrix}
\]
**Solution:**
To find the values of variables \( x \), \( y \), and \( z \), equate corresponding elements of the matrices:
1. For the element in the first row and first column:
\[ x = 18 \]
2. For the element in the first row and second column:
\[ 4y = 12 \]
\[ y = \frac{12}{4} = 3 \]
3. For the element in the second row and first column:
\[ z = 1 \]
Given the above equations, we solve for each variable:
**x =** \([18]\) (Simplify your answer.)
**y =** \([3]\) (Simplify your answer.)
**z =** \([1]\) (Simplify your answer.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps with 1 images
Knowledge Booster
Similar questions
- Please write the steps of this question and circle the answer so that I can understand. Please write the answer in an organized way if possible so that I can understand and identify the numbers. For each step, please specify which answer corresponds to which step. I appreciate your understanding. This question has several steps and I have sent you both pages. Please, if possible, write the step by step and circle the answer so that I don't get lost. Please tell me what the answer to each question is about.arrow_forwardCan i get the explanation please?arrow_forwardAccording to the table above please answer number 2:arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSON
Contemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage Learning
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning 
Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSON
Introduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education