In Problems 7–10 write the given linear system without the use of matrices.
8.
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 8 Solutions
FIRST COURSE IN DIFF.EQ.-WEBASSIGN
- 31 32 = 1 + 3x2 1 + 2x3 + 324 Y3 3x2 + x3 Write the matrix A such that y = Ax |arrow_forward13 () 9. If A is a 3 x 3 matrix such that A 1 and A 4 1 then the product A 7 is %3D %3D 8arrow_forward4 3. If A = x+2 is an invertible matrix , then x can't take value 2х -3 х+1 (а) -1 (b) 2 (c) 3 (d) None of thesearrow_forward
- Problem 13. Write the matrix M = where Then z = (a) 1 (b) 2 (c) 3 (d) 4 A 13 24 as a linear combination of the form M = A + B + zC, 8 B= ---- and C=arrow_forward5. Consider the data points (1, –1), (2,2), (3,4), (4, 6). (In this problem, feel free to use a calculator to help with multiplying matrices.) (a) Find a quadratic polynomial y = a + bx + cx² that best fits the given data. (b) Find an exponential function y = aeba that best fits the given data. (Hint: This is similar to the Cobb-Douglas production function problem in class. First find a function of the form In(y) = c1 + c2x that best fits the given data, then expo- nentiate both sides.)arrow_forward9. P = 15 -4 -7 2e31 – 8e- -4e31 + 2e- ž(1) = | 3e3t – 20e- -6e31 + 5et Show that x1 (t) is a solution to the system x = Px by evaluating derivatives and the matrix product -4 ž(1) = | 15 -7 Enter your answers in terms of the variable t. Show that x2(t) is a solution to the system x' = Px by evaluating derivatives and the matrix product 9. 3(1) = | 15 -4 X2(t) -7 Enter your answers in terms of the variable t.arrow_forward
- 1.2. Find a matrix A for which a1,1 = a2,2 = a3,3 = 1, but elimination (with no row exchanges) produces two negative pivots (the first pivot is 1).arrow_forwardSolving Systems Use Gauss-Jordan reduction to transform the augmented matrix of each system in Problems 24–36 to RREF. Use it to discuss the solutions of the system (i.e., no solutions, a unique solution, or infinitely many solutions). 74 + 25 - - 2 29. x₁ + 4x₂ = 5x3 = 0 2x1x2 + 8x3 = 9arrow_forward2 5 31 5. Write X =|-3 6 0 as the sum of a skew symmetric and a symmetric 4 1 1] matrix.arrow_forward
- 2.2. Consider the following matrix Y and matrix Z. Each column represents a particular meat industry. industry for beef, pork and chicken: [0.2 0.3 0.21 Y= 0.4 0.1 0.3 [0.3 0.5 0.2] [150] Z= 200 [210] For industries for beef, pork and chicken determine the total demand given by matrix Y and matrix Zarrow_forward3. Suppose we have a matrix A = 1 1 101 1 2 2 What is rank of A?arrow_forward7. Let A be a matrix with a row consisting of all zeroes. If B is a matrix such that AB is defined, which of the following is always true? 8. Given the matrix B = 1 1 11 Which of the following (233) (a) 3 2 3 332 matrices solves X in the matrix equation X+13= 2(X - B)? (211) (d) 1 2 1 112 (322) (b) 2 3 2 2 2 3 (122) (c) 2 1 2 2 2 1arrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
![Text book image](https://www.bartleby.com/isbn_cover_images/9781259676512/9781259676512_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134392790/9780134392790_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168024/9781938168024_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134683713/9780134683713_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337694193/9781337694193_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781259985607/9781259985607_smallCoverImage.gif)