Question:
Which of the following statements is/are correct in AX = 0
A. A system of linear equations is homogeneous if each constant to the right of the equality is zero.
B. A system of linear equations has either a trivial solution or infinite number of solutions.
C. A system of homogeneous equations with more than unknowns than equations (m <n) is consistent and has infinite many solutions.
D. In cases where there are solutions other than the trivial solution, the equations are linearly independent.
Choose the correct answer from the options given below:
Which of the following statements is/are correct in AX = 0
A. A system of linear equations is homogeneous if each constant to the right of the equality is zero.
B. A system of linear equations has either a trivial solution or infinite number of solutions.
C. A system of homogeneous equations with more than unknowns than equations (m <n) is consistent and has infinite many solutions.
D. In cases where there are solutions other than the trivial solution, the equations are linearly independent.
Choose the correct answer from the options given below:
A. A system of linear equations is homogeneous if each constant to the right of the equality is zero.
B. A system of linear equations has either a trivial solution or infinite number of solutions.
C. A system of homogeneous equations with more than unknowns than equations (m <n) is consistent and has infinite many solutions.
D. In cases where there are solutions other than the trivial solution, the equations are linearly independent.
Choose the correct answer from the options given below:
Updated On: Jul 3, 2024
- A, B and D only
- A, B and C only
- A, C and D only
- C, D and B only
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The Correct Option is B
Solution and Explanation
The correct option is(B): A, B and C only
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