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Question:
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Consider the following statements.
I. The inverse of a square matrix, if it exists, is unique.
II. If $A$ and $B$ are singular matrices of order $n$, then $A B$ is also a singular matrix of order $n$. Which of the statements given above is/are correct?
Options:
I. The inverse of a square matrix, if it exists, is unique.
II. If $A$ and $B$ are singular matrices of order $n$, then $A B$ is also a singular matrix of order $n$. Which of the statements given above is/are correct?
Solution:
1915 Upvotes
Verified Answer
The correct answer is:
Only I
The inverse of a square matrix if it exists, is unique but if $A$ and $B$ are singular matrices of order $n$, then $A B$ is not a singular matrices of order $n$. Hence, only statement I is correct.
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