IIT JAM Exam > IIT JAM Questions > Matrix has a value. This statementa)is always...
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Matrix has a value. This statement
- a)is always true
- b)depends upon the order of the matrix
- c)is always false
- d)depends upon the elements of the matrix
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Matrix has a value. This statementa)is always trueb)depends upon the o...
Explanation:
The statement "Matrix has a value" is always false.
Reasoning:
A matrix is a mathematical object that consists of a rectangular array of numbers or symbols. It represents a set of values organized in rows and columns. Each individual value in a matrix is called an element.
A matrix can be empty, meaning it has no elements. In this case, the statement "Matrix has a value" would be false.
Even if a matrix is not empty, the elements within the matrix can have different values. For example, a matrix can contain all zeros, all ones, or a combination of different values. Therefore, the statement "Matrix has a value" is also false because it implies that all elements in the matrix have the same value.
Example:
Let's consider an example to illustrate this. Consider the following matrix:
1 0
0 1
This is a 2x2 matrix with four elements. Each element has a specific value: 1 or 0. Therefore, the matrix has values, but those values are not the same for all elements.
In another example, consider an empty matrix:
[]
This matrix has no elements, so it does not have any values. Therefore, the statement "Matrix has a value" is false in this case as well.
Conclusion:
In summary, the statement "Matrix has a value" is always false because a matrix can be empty or have elements with different values.
The statement "Matrix has a value" is always false.
Reasoning:
A matrix is a mathematical object that consists of a rectangular array of numbers or symbols. It represents a set of values organized in rows and columns. Each individual value in a matrix is called an element.
A matrix can be empty, meaning it has no elements. In this case, the statement "Matrix has a value" would be false.
Even if a matrix is not empty, the elements within the matrix can have different values. For example, a matrix can contain all zeros, all ones, or a combination of different values. Therefore, the statement "Matrix has a value" is also false because it implies that all elements in the matrix have the same value.
Example:
Let's consider an example to illustrate this. Consider the following matrix:
1 0
0 1
This is a 2x2 matrix with four elements. Each element has a specific value: 1 or 0. Therefore, the matrix has values, but those values are not the same for all elements.
In another example, consider an empty matrix:
[]
This matrix has no elements, so it does not have any values. Therefore, the statement "Matrix has a value" is false in this case as well.
Conclusion:
In summary, the statement "Matrix has a value" is always false because a matrix can be empty or have elements with different values.
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Matrix has a value. This statementa)is always trueb)depends upon the order of the matrixc)is always falsed)depends upon the elements of the matrixCorrect answer is option 'C'. Can you explain this answer?
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