Consider the first-order homogeneous system of linear differential equations ![Consider the first-order homogeneous system of linear differential equations and the following three vector functions: Which of the following statements are true? Select all that apply. A) {X<sub>1</sub>,X<sub>2</sub> ,X<sub>3</sub> } is a fundamental set of solutions for this system. B) W [X<sub>1</sub>(t) , X<sub>2</sub>(t) ] ? 0 for every real number t. C) X<sub>1</sub> and X<sub>2</sub> are linearly dependent. D) 6X<sub>1</sub> + 4X<sub>2</sub> + 3X<sub>3</sub> is a solution of this system. E) {X<sub>1</sub>, X<sub>2</sub>} is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_ca02_9020_2df2565f59e6_TBW1042_11.jpg)
and the following three vector functions:![Consider the first-order homogeneous system of linear differential equations and the following three vector functions: Which of the following statements are true? Select all that apply. A) {X<sub>1</sub>,X<sub>2</sub> ,X<sub>3</sub> } is a fundamental set of solutions for this system. B) W [X<sub>1</sub>(t) , X<sub>2</sub>(t) ] ? 0 for every real number t. C) X<sub>1</sub> and X<sub>2</sub> are linearly dependent. D) 6X<sub>1</sub> + 4X<sub>2</sub> + 3X<sub>3</sub> is a solution of this system. E) {X<sub>1</sub>, X<sub>2</sub>} is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_ca03_9020_73d7fc62c030_TBW1042_00.jpg)
Which of the following statements are true? Select all that apply.
A) {X1,X2 ,X3 } is a fundamental set of solutions for this system.
B) W [X1(t) , X2(t) ] ? 0 for every real number t.
C) X1 and X2 are linearly dependent.
D) 6X1 + 4X2 + 3X3 is a solution of this system.
E) {X1, X2} is a fundamental set of solutions for this system.
Correct Answer:
Verified
Q24: Are the vectors u1 , u2 ,
Q25: If
Q26: Given that
Q27: Consider the matrix Q28: Consider a system of homogeneous first-order Q30: Consider the first-order homogeneous system of linear Q31: Consider the first-order homogeneous system of linear Q32: Consider the first-order homogeneous system of linear Q33: Consider the first-order homogeneous system of linear Q34: Consider the first-order homogeneous system of
Unlock this Answer For Free Now!
View this answer and more for free by performing one of the following actions
Scan the QR code to install the App and get 2 free unlocks
Unlock quizzes for free by uploading documents