Consider the first-order homogeneous system of linear differential equations![Consider the first-order homogeneous system of linear differential equations And the following four vector functions: Which of the following statements are true? Select all that apply. A) is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B) W [ (t) , (t) ] ? 0 for every real number t. C) 5.5 + 4.5 + C is a solution of this system, for any real number C. D) 4 is a solution of this system. E) { , } is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_f114_9020_f9f40a0ba094_TBW1042_11.jpg)
And the following four vector functions:![Consider the first-order homogeneous system of linear differential equations And the following four vector functions: Which of the following statements are true? Select all that apply. A) is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B) W [ (t) , (t) ] ? 0 for every real number t. C) 5.5 + 4.5 + C is a solution of this system, for any real number C. D) 4 is a solution of this system. E) { , } is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_f115_9020_31940a18ecfe_TBW1042_00.jpg)
Which of the following statements are true? Select all that apply.
A) ![Consider the first-order homogeneous system of linear differential equations And the following four vector functions: Which of the following statements are true? Select all that apply. A) is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B) W [ (t) , (t) ] ? 0 for every real number t. C) 5.5 + 4.5 + C is a solution of this system, for any real number C. D) 4 is a solution of this system. E) { , } is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_f116_9020_3d8caa802011_TBW1042_11.jpg)
is a solution of this system, for all real numbers C1 ,C2 ,C3 , and C4 .
B) W [ ![Consider the first-order homogeneous system of linear differential equations And the following four vector functions: Which of the following statements are true? Select all that apply. A) is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B) W [ (t) , (t) ] ? 0 for every real number t. C) 5.5 + 4.5 + C is a solution of this system, for any real number C. D) 4 is a solution of this system. E) { , } is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_f117_9020_cfed8ea2218f_TBW1042_11.jpg)
(t) , ![Consider the first-order homogeneous system of linear differential equations And the following four vector functions: Which of the following statements are true? Select all that apply. A) is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B) W [ (t) , (t) ] ? 0 for every real number t. C) 5.5 + 4.5 + C is a solution of this system, for any real number C. D) 4 is a solution of this system. E) { , } is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_f118_9020_935f101fc5c1_TBW1042_11.jpg)
(t) ] ? 0 for every real number t.
C) 5.5 ![Consider the first-order homogeneous system of linear differential equations And the following four vector functions: Which of the following statements are true? Select all that apply. A) is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B) W [ (t) , (t) ] ? 0 for every real number t. C) 5.5 + 4.5 + C is a solution of this system, for any real number C. D) 4 is a solution of this system. E) { , } is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_f119_9020_fb7e2a83f916_TBW1042_11.jpg)
+ 4.5 ![Consider the first-order homogeneous system of linear differential equations And the following four vector functions: Which of the following statements are true? Select all that apply. A) is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B) W [ (t) , (t) ] ? 0 for every real number t. C) 5.5 + 4.5 + C is a solution of this system, for any real number C. D) 4 is a solution of this system. E) { , } is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_f11a_9020_9d392d167189_TBW1042_11.jpg)
+ C is a solution of this system, for any real number C.
D) 4 ![Consider the first-order homogeneous system of linear differential equations And the following four vector functions: Which of the following statements are true? Select all that apply. A) is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B) W [ (t) , (t) ] ? 0 for every real number t. C) 5.5 + 4.5 + C is a solution of this system, for any real number C. D) 4 is a solution of this system. E) { , } is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_f11b_9020_a1170b212c80_TBW1042_11.jpg)
is a solution of this system.
E) { ![Consider the first-order homogeneous system of linear differential equations And the following four vector functions: Which of the following statements are true? Select all that apply. A) is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B) W [ (t) , (t) ] ? 0 for every real number t. C) 5.5 + 4.5 + C is a solution of this system, for any real number C. D) 4 is a solution of this system. E) { , } is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_f11c_9020_5bb79c6bf120_TBW1042_11.jpg)
, ![Consider the first-order homogeneous system of linear differential equations And the following four vector functions: Which of the following statements are true? Select all that apply. A) is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B) W [ (t) , (t) ] ? 0 for every real number t. C) 5.5 + 4.5 + C is a solution of this system, for any real number C. D) 4 is a solution of this system. E) { , } is a fundamental set of solutions for this system.](https://d2lvgg3v3hfg70.cloudfront.net/TBW1042/11eeb833_703e_f11d_9020_7b191d75324d_TBW1042_11.jpg)
} is a fundamental set of solutions for this system.
Correct Answer:
Verified
Q25: If
Q26: Given that
Q27: Consider the matrix Q28: Consider a system of homogeneous first-order Q29: 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 Q35: Consider the first-order homogeneous system of
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