Find a fundemental set of solution vectors of the system x' = Ax where A is the given matrix:3 2A=4 -4and find the solution that satisfies the initial condition:10a) Ox(t)=- eb) Ox(t)=c) Ox(t)=e) Ox(t)=149-7d) Ox(t)= e14 -St- est79-St-Ste24-23-2[²]+1-4f) O None of the above.+-10 4:7+ e91099-4t-42e1-423-43-42x(0) =-32K

Answered: Image /qna-images/answer/96f67c7b-3155-41e2-ba9c-ad8d5448bbb1.jpg

Find a fundemental set of solution vectors of the system x' = Ax where A is the given matrix: 423 A= 4 -4 and find the solution that satisfies the initial condition: a) Ox(t)=- b) Ox(t)= c) Ox(t)= d) Ox(t)= e) Ox(t)= - 10 14 9 7 14 -St e - est e -St 7 -St e 9 2 4 -2 3 -2 1 -4 f) O None of the above. + -10 7 + e 9 10 9 9 4: -4t -4t e 1 -4 2 3 -4 3 -4 2 x(0) = -3 2

Find a fundemental set of solution vectors of the system x' = Ax where A is the given matrix: 423 A= 4 -4 and find the solution that satisfies the initial condition: a) Ox(t)=- b) Ox(t)= c) Ox(t)= d) Ox(t)= e) Ox(t)= - 10 14 9 7 14 -St e - est e -St 7 -St e 9 2 4 -2 3 -2 1 -4 f) O None of the above. + -10 7 + e 9 10 9 9 4: -4t -4t e 1 -4 2 3 -4 3 -4 2 x(0) = -3 2

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.1: Introduction To Systems Of Linear Equations

Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...

See similar textbooks

Similar questions

Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the same for each product but varies by warehouse because of the distances involved. It costs $0.75 to distribute one unit from warehouse 1 and $1.00 to distribute one unit from warehouse 2. Organize these costs into a matrix C and then use matrix multiplication to compute the total cost of distributing each product.
Solve the homogeneous linear system corresponding to the coefficient matrix. [121200242412]
Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by the parametric representation x1=t, x2=s and x3=3+st, where s and t are any real numbers. Then show that the solutions to the system can also be written as x1=3+st,x2=s and x3=t.
Determine if the statement is true or false. If the statement is false, then correct it and make it true. For the product of two matrices to be defined, the number of rows of the first matrix must equal the number of columns of the second matrix.