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Match the items in columns I and II.
Column I Column II
P. Singular matrix 1. Determinant is not defined
Q. Non-square matrix 2. Determinant is always one
R. Real symmetric 3. Determinant is zero
S. Orthogonal matrix 4. Eigenvalues are always real
5. Eigenvalues are not defined
Column I Column II
P. Singular matrix 1. Determinant is not defined
Q. Non-square matrix 2. Determinant is always one
R. Real symmetric 3. Determinant is zero
S. Orthogonal matrix 4. Eigenvalues are always real
5. Eigenvalues are not defined
- a)P-3, Q-1, R-4, S-2
- b)P-2, Q-3, R-4, S-1
- c)P-3, Q-2, R-5, S-4
- d)P-3, Q-4, R-2, S-1
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Match the items in columns I and II.Column I ...
(a) (P) Singular matrix → Determinant is zero
(Q) Non-square matrix → Determinant is not defined
(R) Real symmetric → Eigen values are always real
(S) Orthogonal → Determinant is always one
(Q) Non-square matrix → Determinant is not defined
(R) Real symmetric → Eigen values are always real
(S) Orthogonal → Determinant is always one
Most Upvoted Answer
Match the items in columns I and II.Column I ...
To match the items in columns I and II correctly, let's analyze the properties of each item in column I and find the corresponding property in column II.
1. Singular matrix: A singular matrix is a square matrix whose determinant is zero. The determinant is not defined for a singular matrix because it cannot be inverted.
2. Non-square matrix: A non-square matrix is a matrix that does not have an equal number of rows and columns. The determinant is not defined for a non-square matrix because it is only defined for square matrices.
3. Real symmetric matrix: A real symmetric matrix is a square matrix that is equal to its transpose. The determinant of a real symmetric matrix can be any real number.
4. Orthogonal matrix: An orthogonal matrix is a square matrix whose transpose is equal to its inverse. The determinant of an orthogonal matrix is always either 1 or -1.
Now, let's match the properties with the corresponding items in column II:
P. Singular matrix: Determinant is zero (3)
Q. Non-square matrix: Determinant is not defined (1)
R. Real symmetric matrix: Determinant can be any real number (4)
S. Orthogonal matrix: Determinant is always either 1 or -1 (2)
Based on the above analysis, the correct matching is:
a) P-3, Q-1, R-4, S-2
Therefore, option 'A' is the correct answer.
To summarize:
- A singular matrix has a determinant of zero.
- A non-square matrix does not have a defined determinant.
- A real symmetric matrix can have any real number as its determinant.
- An orthogonal matrix has a determinant that is always either 1 or -1.
1. Singular matrix: A singular matrix is a square matrix whose determinant is zero. The determinant is not defined for a singular matrix because it cannot be inverted.
2. Non-square matrix: A non-square matrix is a matrix that does not have an equal number of rows and columns. The determinant is not defined for a non-square matrix because it is only defined for square matrices.
3. Real symmetric matrix: A real symmetric matrix is a square matrix that is equal to its transpose. The determinant of a real symmetric matrix can be any real number.
4. Orthogonal matrix: An orthogonal matrix is a square matrix whose transpose is equal to its inverse. The determinant of an orthogonal matrix is always either 1 or -1.
Now, let's match the properties with the corresponding items in column II:
P. Singular matrix: Determinant is zero (3)
Q. Non-square matrix: Determinant is not defined (1)
R. Real symmetric matrix: Determinant can be any real number (4)
S. Orthogonal matrix: Determinant is always either 1 or -1 (2)
Based on the above analysis, the correct matching is:
a) P-3, Q-1, R-4, S-2
Therefore, option 'A' is the correct answer.
To summarize:
- A singular matrix has a determinant of zero.
- A non-square matrix does not have a defined determinant.
- A real symmetric matrix can have any real number as its determinant.
- An orthogonal matrix has a determinant that is always either 1 or -1.
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Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer?
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Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer?.
Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer?.
Solutions for Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Match the items in columns I and II.Column I Column IIP. Singular matrix 1. Determinant is not definedQ. Non-square matrix 2. Determinant is always oneR. Real symmetric 3. Determinant is zeroS. Orthogonal matrix 4. Eigenvalues are always real5. Eigenvalues are not defineda)P-3, Q-1, R-4, S-2b)P-2, Q-3, R-4, S-1c)P-3, Q-2, R-5, S-4d)P-3, Q-4, R-2, S-1Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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