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If 3x + 2 + z = 0
x + 4y + z = 0
2x + y + 4z = 0
be a system of equations, then
x + 4y + z = 0
2x + y + 4z = 0
be a system of equations, then
- a)It is inconsistent
- b)it has only the trivial solution x = 0,y = 0, z = 0
- c)It can be reduced to a single equation and so a solution does not exis
- d)the determinant of the matrix of coefficient is zero
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If 3x + 2 + z = 0x + 4y + z = 02x + y + 4z = 0be a system of equations...
We are given that the system of equations,
3x + 2y + z = 0
x + 4y + z = 0
2x + y + 4z = 0
It can be written in the matrix form as,
Reduce this system to echelon form using the operation
“R2 -> 3R2 - R1 ” and " R3 --> 3R3 - 2R2".
These operations yield-
and also "R3 —> 10R3 + R2"
which gives, x = 0, y = 0 and z - 0, Hence, th is system of equations has only the trivial solution.
3x + 2y + z = 0
x + 4y + z = 0
2x + y + 4z = 0
It can be written in the matrix form as,
Reduce this system to echelon form using the operation
“R2 -> 3R2 - R1 ” and " R3 --> 3R3 - 2R2".
These operations yield-
and also "R3 —> 10R3 + R2"
which gives, x = 0, y = 0 and z - 0, Hence, th is system of equations has only the trivial solution.
Most Upvoted Answer
If 3x + 2 + z = 0x + 4y + z = 02x + y + 4z = 0be a system of equations...
We are given that the system of equations,
3x + 2y + z = 0
x + 4y + z = 0
2x + y + 4z = 0
It can be written in the matrix form as,
Reduce this system to echelon form using the operation
“R2 -> 3R2 - R1 ” and " R3 --> 3R3 - 2R2".
These operations yield-
and also "R3 —> 10R3 + R2"
which gives, x = 0, y = 0 and z - 0, Hence, th is system of equations has only the trivial solution.
3x + 2y + z = 0
x + 4y + z = 0
2x + y + 4z = 0
It can be written in the matrix form as,
Reduce this system to echelon form using the operation
“R2 -> 3R2 - R1 ” and " R3 --> 3R3 - 2R2".
These operations yield-
and also "R3 —> 10R3 + R2"
which gives, x = 0, y = 0 and z - 0, Hence, th is system of equations has only the trivial solution.
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Community Answer
If 3x + 2 + z = 0x + 4y + z = 02x + y + 4z = 0be a system of equations...
We are given that the system of equations,
3x + 2y + z = 0
x + 4y + z = 0
2x + y + 4z = 0
It can be written in the matrix form as,
Reduce this system to echelon form using the operation
“R2 -> 3R2 - R1 ” and " R3 --> 3R3 - 2R2".
These operations yield-
and also "R3 —> 10R3 + R2"
which gives, x = 0, y = 0 and z - 0, Hence, th is system of equations has only the trivial solution.
3x + 2y + z = 0
x + 4y + z = 0
2x + y + 4z = 0
It can be written in the matrix form as,
Reduce this system to echelon form using the operation
“R2 -> 3R2 - R1 ” and " R3 --> 3R3 - 2R2".
These operations yield-
and also "R3 —> 10R3 + R2"
which gives, x = 0, y = 0 and z - 0, Hence, th is system of equations has only the trivial solution.
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If 3x + 2 + z = 0x + 4y + z = 02x + y + 4z = 0be a system of equations, thena)It is inconsistentb)it has only the trivial solution x = 0,y = 0, z = 0c)It can be reduced to a single equation and so a solution does not exisd)the determinant of the matrix of coefficient is zeroCorrect answer is option 'B'. Can you explain this answer?
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If 3x + 2 + z = 0x + 4y + z = 02x + y + 4z = 0be a system of equations, thena)It is inconsistentb)it has only the trivial solution x = 0,y = 0, z = 0c)It can be reduced to a single equation and so a solution does not exisd)the determinant of the matrix of coefficient is zeroCorrect answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about If 3x + 2 + z = 0x + 4y + z = 02x + y + 4z = 0be a system of equations, thena)It is inconsistentb)it has only the trivial solution x = 0,y = 0, z = 0c)It can be reduced to a single equation and so a solution does not exisd)the determinant of the matrix of coefficient is zeroCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 3x + 2 + z = 0x + 4y + z = 02x + y + 4z = 0be a system of equations, thena)It is inconsistentb)it has only the trivial solution x = 0,y = 0, z = 0c)It can be reduced to a single equation and so a solution does not exisd)the determinant of the matrix of coefficient is zeroCorrect answer is option 'B'. Can you explain this answer?.
If 3x + 2 + z = 0x + 4y + z = 02x + y + 4z = 0be a system of equations, thena)It is inconsistentb)it has only the trivial solution x = 0,y = 0, z = 0c)It can be reduced to a single equation and so a solution does not exisd)the determinant of the matrix of coefficient is zeroCorrect answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about If 3x + 2 + z = 0x + 4y + z = 02x + y + 4z = 0be a system of equations, thena)It is inconsistentb)it has only the trivial solution x = 0,y = 0, z = 0c)It can be reduced to a single equation and so a solution does not exisd)the determinant of the matrix of coefficient is zeroCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 3x + 2 + z = 0x + 4y + z = 02x + y + 4z = 0be a system of equations, thena)It is inconsistentb)it has only the trivial solution x = 0,y = 0, z = 0c)It can be reduced to a single equation and so a solution does not exisd)the determinant of the matrix of coefficient is zeroCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If 3x + 2 + z = 0x + 4y + z = 02x + y + 4z = 0be a system of equations, thena)It is inconsistentb)it has only the trivial solution x = 0,y = 0, z = 0c)It can be reduced to a single equation and so a solution does not exisd)the determinant of the matrix of coefficient is zeroCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
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