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If I3 is the identity matrix of order 3 , then 13−1 is
- a)0
- b)3I3
- c)I3
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
IfI3 is the identity matrix of order 3 , then13−1isa)0b)3I3c)I3d...
Because , the inverse of an identity matrix is an identity matrix.
Most Upvoted Answer
IfI3 is the identity matrix of order 3 , then13−1isa)0b)3I3c)I3d...
Explanation:
Identity Matrix:
An identity matrix is a square matrix in which all the elements of the principal diagonal are 1 and all other elements are 0. For example, the identity matrix of order 3 (I3) is:
1 0 0
0 1 0
0 0 1
Given Matrix:
The given matrix is 131. To check if it is equal to the identity matrix of order 3 (I3), we compare both matrices:
1 3 1
Comparison:
- The first element of the given matrix is 1, whereas the first element of I3 is also 1.
- The second element of the given matrix is 3, whereas the corresponding element in I3 is 0.
- The third element of the given matrix is 1, whereas the corresponding element in I3 is 0.
Since the given matrix does not match the definition of the identity matrix, the correct answer is option 'C) I3'.
Identity Matrix:
An identity matrix is a square matrix in which all the elements of the principal diagonal are 1 and all other elements are 0. For example, the identity matrix of order 3 (I3) is:
1 0 0
0 1 0
0 0 1
Given Matrix:
The given matrix is 131. To check if it is equal to the identity matrix of order 3 (I3), we compare both matrices:
1 3 1
Comparison:
- The first element of the given matrix is 1, whereas the first element of I3 is also 1.
- The second element of the given matrix is 3, whereas the corresponding element in I3 is 0.
- The third element of the given matrix is 1, whereas the corresponding element in I3 is 0.
Since the given matrix does not match the definition of the identity matrix, the correct answer is option 'C) I3'.
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IfI3 is the identity matrix of order 3 , then13−1isa)0b)3I3c)I3d)none of theseCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about IfI3 is the identity matrix of order 3 , then13−1isa)0b)3I3c)I3d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for IfI3 is the identity matrix of order 3 , then13−1isa)0b)3I3c)I3d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
IfI3 is the identity matrix of order 3 , then13−1isa)0b)3I3c)I3d)none of theseCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about IfI3 is the identity matrix of order 3 , then13−1isa)0b)3I3c)I3d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for IfI3 is the identity matrix of order 3 , then13−1isa)0b)3I3c)I3d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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