Let us consider the problem of balancing the photosynthesis equation (the reason humans exist), where plants take in CO₂ and produces 0₂. sunlight a₁CO₂ + a₂H₂O ⇒ b₁C6H12O6 + b₂O₂, a₁, a2, b₁, b2 ‡ 0 In other words, we are looking to find the values of a₁, a2, b₁, b2 so that this chemical equation is "balanced". A "balanced" equation is an sunlight equation that makes sure that the number of C, O, H atoms on both sides of is equal. a) Write a system of linear equations that establish a relation between the unknown variables a₁, a2, b₁,b₂. NOTE : Show it mathematically along with words, equations and explanations. You can use latex or upload a written answer in the text cell below. Write your answer for part a here. · - [C] = [] ,b= b) Let a = Write the above linear equations in a) in matrix vector format, expressing the matrix R (reactant matrix) as an independent matrix multiplying the vector a on the left hand side, and matrix P (product matrix) as an independent matrix multiplying the vector b on the right hand side, thus forming a matrix vector equation in the form Ra = Pb. NOTE: Please have some word explanation for identifying the matrices according to the chemical equation, show it on latex or upload a written answer in the text cell before Write your answer for part b here.
Let us consider the problem of balancing the photosynthesis equation (the reason humans exist), where plants take in CO₂ and produces 0₂. sunlight a₁CO₂ + a₂H₂O ⇒ b₁C6H12O6 + b₂O₂, a₁, a2, b₁, b2 ‡ 0 In other words, we are looking to find the values of a₁, a2, b₁, b2 so that this chemical equation is "balanced". A "balanced" equation is an sunlight equation that makes sure that the number of C, O, H atoms on both sides of is equal. a) Write a system of linear equations that establish a relation between the unknown variables a₁, a2, b₁,b₂. NOTE : Show it mathematically along with words, equations and explanations. You can use latex or upload a written answer in the text cell below. Write your answer for part a here. · - [C] = [] ,b= b) Let a = Write the above linear equations in a) in matrix vector format, expressing the matrix R (reactant matrix) as an independent matrix multiplying the vector a on the left hand side, and matrix P (product matrix) as an independent matrix multiplying the vector b on the right hand side, thus forming a matrix vector equation in the form Ra = Pb. NOTE: Please have some word explanation for identifying the matrices according to the chemical equation, show it on latex or upload a written answer in the text cell before Write your answer for part b here.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
（Pyhton help）For Part a and b，PLS more details.
![c) Ra = Pb is equivalent to the following equation that uses block form of matrices and vectors:
[R
-P][1] = 0
by using [R -P]¹ and tell us why it does not work. (Use np. linalg. pinv() to find the inverse of a non-
Use Python to solve for
square matrix)
Hint: Instantiate matrix R and P first, then combine them into one matrix M. Find inverse of the matrix M to check solutions for a, b.
Fill in the blank in the code cell below for part c, please use your own Python code to replace "..." parts. If you prefer, you can write your piece
of code from scratch instead (without filling in the blanks).
# Python code for part c goes here.
#Instantiate R as an numpy array from written solution.
R = np.array(.....)
#Instantiate P as an numpy array from written solution.
P = np.array(.....)
#Form a matrix as a matrix of R and -P which are developed above.
M = np.array(...)
#Inverse of the matrix developed to check for the solutions of a, b vectors.
N= np.linalg.pinv(...)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F584ffa08-94ad-4eb4-a87d-fd258db9f802%2Fa4e11e2a-3b80-4947-b23c-b5372065fc6f%2Femwnh7o_processed.png&w=3840&q=75)
Transcribed Image Text:c) Ra = Pb is equivalent to the following equation that uses block form of matrices and vectors:
[R
-P][1] = 0
by using [R -P]¹ and tell us why it does not work. (Use np. linalg. pinv() to find the inverse of a non-
Use Python to solve for
square matrix)
Hint: Instantiate matrix R and P first, then combine them into one matrix M. Find inverse of the matrix M to check solutions for a, b.
Fill in the blank in the code cell below for part c, please use your own Python code to replace "..." parts. If you prefer, you can write your piece
of code from scratch instead (without filling in the blanks).
# Python code for part c goes here.
#Instantiate R as an numpy array from written solution.
R = np.array(.....)
#Instantiate P as an numpy array from written solution.
P = np.array(.....)
#Form a matrix as a matrix of R and -P which are developed above.
M = np.array(...)
#Inverse of the matrix developed to check for the solutions of a, b vectors.
N= np.linalg.pinv(...)
![Let us consider the problem of balancing the photosynthesis equation (the reason humans exist), where plants take in CO₂ and produces 02.
sunlight
a₁CO₂ + a₂H₂O ⇒ b₁C6H12O6 + b₂O2, a₁, a2, b₁, b2 ‡ 0
In other words, we are looking to find the values of a1, a2, b₁, b2 so that this chemical equation is "balanced". A "balanced" equation is an
sunlight
equation that makes sure that the number of C, O, H atoms on both sides of
is equal.
a) Write a system of linear equations that establish a relation between the unknown variables a₁, a2, b₁,b2.
NOTE : Show it mathematically along with words, equations and explanations. You can use latex or upload a written answer in the text cell
below.
Write your answer for part a here.
b) Let a =
.b =
Write the above linear equations in a) in matrix vector format, expressing the matrix R (reactant matrix) as an independent matrix multiplying
the vector a on the left hand side, and matrix P (product matrix) as an independent matrix multiplying the vector b on the right hand side, thus
forming a matrix vector equation in the form Ra = Pb.
NOTE: Please have some word explanation for identifying the matrices according to the chemical equation, show it on latex or upload a
written answer in the text cell before
Write your answer for part b here.
c) Ra = Pb is equivalent to the following equation that uses block form of matrices and vectors:
8-
by using [R -P]¹ and tell us why it does not work. (Use np. linalg. pinv() to find the inverse of a non-
Use Python to solve for
square matrix)
[R -P
= 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F584ffa08-94ad-4eb4-a87d-fd258db9f802%2Fa4e11e2a-3b80-4947-b23c-b5372065fc6f%2Fer6hplx_processed.png&w=3840&q=75)
Transcribed Image Text:Let us consider the problem of balancing the photosynthesis equation (the reason humans exist), where plants take in CO₂ and produces 02.
sunlight
a₁CO₂ + a₂H₂O ⇒ b₁C6H12O6 + b₂O2, a₁, a2, b₁, b2 ‡ 0
In other words, we are looking to find the values of a1, a2, b₁, b2 so that this chemical equation is "balanced". A "balanced" equation is an
sunlight
equation that makes sure that the number of C, O, H atoms on both sides of
is equal.
a) Write a system of linear equations that establish a relation between the unknown variables a₁, a2, b₁,b2.
NOTE : Show it mathematically along with words, equations and explanations. You can use latex or upload a written answer in the text cell
below.
Write your answer for part a here.
b) Let a =
.b =
Write the above linear equations in a) in matrix vector format, expressing the matrix R (reactant matrix) as an independent matrix multiplying
the vector a on the left hand side, and matrix P (product matrix) as an independent matrix multiplying the vector b on the right hand side, thus
forming a matrix vector equation in the form Ra = Pb.
NOTE: Please have some word explanation for identifying the matrices according to the chemical equation, show it on latex or upload a
written answer in the text cell before
Write your answer for part b here.
c) Ra = Pb is equivalent to the following equation that uses block form of matrices and vectors:
8-
by using [R -P]¹ and tell us why it does not work. (Use np. linalg. pinv() to find the inverse of a non-
Use Python to solve for
square matrix)
[R -P
= 0
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education