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Two matrices A and B are said to be comparable if
- a)Number of rows in A is equal to the number of columns in B
- b)Number of columns in A is equal to the number of rows in B
- c)Number of rows and columns in A is equal to the number of rows and columns in B
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two matrices A and B are said to be comparable ifa)Number of rows in A...
Explanation:
To determine if two matrices A and B are comparable, we need to consider the dimensions of both matrices.
Matrix A:
- Let's assume that matrix A has m rows and n columns.
- The dimensions of matrix A can be written as m x n.
Matrix B:
- Let's assume that matrix B has p rows and q columns.
- The dimensions of matrix B can be written as p x q.
In order for two matrices to be comparable, the number of columns in matrix A should be equal to the number of rows in matrix B.
Therefore, the correct condition for comparability is:
Condition:
- Number of columns in A is equal to the number of rows in B (n = p).
Explanation of Answer Options:
a) Number of rows in A is equal to the number of columns in B: This condition is not correct for comparability as it is the opposite of the correct condition.
b) Number of columns in A is equal to the number of rows in B: This is the correct condition for comparability.
c) Number of rows and columns in A is equal to the number of rows and columns in B: This condition is not correct for comparability as it considers the dimensions of both matrices to be exactly the same, which is not necessary for comparability.
d) None of the above: This option is incorrect as option (b) is the correct condition for comparability.
Conclusion:
In order for two matrices A and B to be comparable, the number of columns in matrix A should be equal to the number of rows in matrix B.
To determine if two matrices A and B are comparable, we need to consider the dimensions of both matrices.
Matrix A:
- Let's assume that matrix A has m rows and n columns.
- The dimensions of matrix A can be written as m x n.
Matrix B:
- Let's assume that matrix B has p rows and q columns.
- The dimensions of matrix B can be written as p x q.
In order for two matrices to be comparable, the number of columns in matrix A should be equal to the number of rows in matrix B.
Therefore, the correct condition for comparability is:
Condition:
- Number of columns in A is equal to the number of rows in B (n = p).
Explanation of Answer Options:
a) Number of rows in A is equal to the number of columns in B: This condition is not correct for comparability as it is the opposite of the correct condition.
b) Number of columns in A is equal to the number of rows in B: This is the correct condition for comparability.
c) Number of rows and columns in A is equal to the number of rows and columns in B: This condition is not correct for comparability as it considers the dimensions of both matrices to be exactly the same, which is not necessary for comparability.
d) None of the above: This option is incorrect as option (b) is the correct condition for comparability.
Conclusion:
In order for two matrices A and B to be comparable, the number of columns in matrix A should be equal to the number of rows in matrix B.
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Two matrices A and B are said to be comparable ifa)Number of rows in A...
Two matric will be comparable only when they are of same order
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Two matrices A and B are said to be comparable ifa)Number of rows in A is equal to the number of columns in Bb)Number of columns in A is equal to the number of rows in Bc)Number of rows and columns in A is equal to the number of rows and columns in Bd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Two matrices A and B are said to be comparable ifa)Number of rows in A is equal to the number of columns in Bb)Number of columns in A is equal to the number of rows in Bc)Number of rows and columns in A is equal to the number of rows and columns in Bd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two matrices A and B are said to be comparable ifa)Number of rows in A is equal to the number of columns in Bb)Number of columns in A is equal to the number of rows in Bc)Number of rows and columns in A is equal to the number of rows and columns in Bd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Two matrices A and B are said to be comparable ifa)Number of rows in A is equal to the number of columns in Bb)Number of columns in A is equal to the number of rows in Bc)Number of rows and columns in A is equal to the number of rows and columns in Bd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
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