Recent Question/Assignment
Mat102
This submission must be made by hand, without any digital aids except the end of part 2a) and delivered as a pdf (for the last part of 2a you can cut the screenshot from the program and the result of the run and paste in the pdf file). This usually means that you write by hand and then scan your papers, or take pictures and use a tool to turn pictures into pdf (here is a website for how it can be done I found on google: https://gadgets.ndtv.com/how-to/features/jpg-to-pdf-converter-free-online-merge-i-love-pdf-app-download-joiner-2245453.)). You can of course also write the submission in word or using latex and export it as a pdf if you prefer.
Task 1
An inhomogeneous linear system of equations is given by:
Write the equation system on the form: Ax=b ,there x= . Use either
Gaussian elimination or the determinant of A to determine for which values of K and t have the system:
i) an unambiguous solution ii) infinite number of solutions iii) no solution.
b) An inhomogeneous linear system of equations is given by:
Write the equation system on the form: Ax=b ,there x= . Use Gaussian elimination to solve the equation system.
Task 2
Vi skal i denne oppgaven studere matrisen
Show that one of the values is -2 and find the corresponding vector. Find all the values of A and the associated vectors without computer tools and the procedure must be displayed. Find all the values of A and the associated vectors with a write a Python program.
We have not learned together the concept of diagonalization (A = PAP^(-1) ). Read notes from NTNU and write briefly what diagonalisation of square matrices is about, and what the matrices P and D are. Diagonalize the matrix A.
Do you find any connection between the answers you received in sub-tasks a) and b)?
Task 3
Newton's cooling law states that changing the temperature of an object is proportional to the difference between the temperature of the object and the environment. In a closed system that only consists of two objects, for example in two rooms with a door in between and no heat loss anywhere else, they are each other's surroundings. If we call the temperature of one object x(t) and the temperature of the other object y(t), then we have a model for the temperature of the two objects given as
Where m1 and m2 are positive constants.
Let m1=0.1 and m2=0.2 . Find the general solution for x(t) and y(t).
Regardless of which value we choose for m1 and m2, one value will be 0. What is the associated vector, and what is the physical explanation for this situation?
This submission must be made by hand, without any digital aids except the end of part 2a) and delivered as a pdf (for the last part of 2a you can cut the screenshot from the program and the result of the run and paste in the pdf file). This usually means that you write by hand and then scan your papers, or take pictures and use a tool to turn pictures into pdf (here is a website for how it can be done I found on google: https://gadgets.ndtv.com/how-to/features/jpg-to-pdf-converter-free-online-merge-i-love-pdf-app-download-joiner-2245453.)). You can of course also write the submission in word or using latex and export it as a pdf if you prefer.
Task 1
An inhomogeneous linear system of equations is given by:
Write the equation system on the form: Ax=b ,there x= . Use either
Gaussian elimination or the determinant of A to determine for which values of K and t have the system:
i) an unambiguous solution ii) infinite number of solutions iii) no solution.
b) An inhomogeneous linear system of equations is given by:
Write the equation system on the form: Ax=b ,there x= . Use Gaussian elimination to solve the equation system.
Task 2
Vi skal i denne oppgaven studere matrisen
Show that one of the values is -2 and find the corresponding vector. Find all the values of A and the associated vectors without computer tools and the procedure must be displayed. Find all the values of A and the associated vectors with a write a Python program.
We have not learned together the concept of diagonalization (A = PAP^(-1) ). Read notes from NTNU and write briefly what diagonalisation of square matrices is about, and what the matrices P and D are. Diagonalize the matrix A.
Do you find any connection between the answers you received in sub-tasks a) and b)?
Task 3
Newton's cooling law states that changing the temperature of an object is proportional to the difference between the temperature of the object and the environment. In a closed system that only consists of two objects, for example in two rooms with a door in between and no heat loss anywhere else, they are each other's surroundings. If we call the temperature of one object x(t) and the temperature of the other object y(t), then we have a model for the temperature of the two objects given as
Where m1 and m2 are positive constants.
Let m1=0.1 and m2=0.2 . Find the general solution for x(t) and y(t).
Regardless of which value we choose for m1 and m2, one value will be 0. What is the associated vector, and what is the physical explanation for this situation?
Looking for answers ?
Recent Questions
Attached is my resume and cover letter as it's required in the assignment2000 wordsWord limit: 1500 - 2000Objectives:The purpose of this assignment is to:1. Familiarise yourself with best practice in engineering sustainability in a particular field by conducting a thorough literature...Module code: BMA4005-20Module title: Professional PracticeAssignment: A1. Digital PosterWord count: 500Contribution to module mark: 40% of overall gradeAssessment type: IndividualWeight 40%Submission deadline:...Assessment Criteria for Written Report (20%)• Submission of a minimum 1500 to maximum 1800-words written report due from week 9. You will submit your written report one week after you have undertaken the...Assessment 2: (20%) Case Study Presentation Due Date weeks 10This assessment builds on your theoretical knowledge and tests your ability to apply this knowledge to practice.you are required to formulate...Assessment 2Assessment 2Report: 30%Word count: 1400 – 1600 wordsDue date: Sunday of Week 8DescriptionYou are playing the role of a community service worker supporting a young adult son who is 18 years...1500-1800 wordsShow All Questions