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If A is an identity matrix of order 3, then its inverse (A−1)
- a)is equal to null matrix
- b)is equal to A
- c)is equal to 3A
- d)does not exist
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If A is an identity matrix of order 3, then its inverse (A−1)a)i...
A is an identity matrix of order 3, then its inverse (A−1)
Similarly, for A = A, A−1 = A
Most Upvoted Answer
If A is an identity matrix of order 3, then its inverse (A−1)a)i...
The inverse of an identity matrix is itself. Therefore, if A is an identity matrix of order 3, then its inverse is also A.
In other words,
A x A^-1 = I
where I is the identity matrix of order 3. Since A is itself an identity matrix, we can substitute A for A^-1 in the above equation:
A x A = I
This shows that A is its own inverse.
In other words,
A x A^-1 = I
where I is the identity matrix of order 3. Since A is itself an identity matrix, we can substitute A for A^-1 in the above equation:
A x A = I
This shows that A is its own inverse.
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If A is an identity matrix of order 3, then its inverse (A−1)a)is equal to null matrixb)is equal to Ac)is equal to 3Ad)does not existCorrect answer is option 'B'. Can you explain this answer?
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