Consider the following statements about the matrix M = \left[\begin{array}{ccc}71 & 23 & 48 \ 57 & 28 & 29 \ 65 & 17 & 48 \ ]\end{array} Statement-I: The inverse of M does not exist. Statement-II: M is non-singular. Which one of the following is correct in respect of the above statements?

Correct Answer is : Statement-I is correct but Statement-II is not correct

Both Statement-I and Statement-II are correct and Statement-II explains Statement-I

Both Statement-I and Statement-II are correct but Statement-II does not explain Statement-I

Statement-I is correct but Statement-II is not correct

Statement-I is not correct but Statement-II is correct

UPSC NDA II 2025 Mathematics Paper

Question : 45 of 120

Marks: +1, -0

Consider the following statements about
the matrix M=[

71	23	48
57	28	29
65	17	48

]
Statement-I: The inverse of M does not exist.
Statement-II: M is non-singular.
Which one of the following is correct in respect of the above statements?

Both Statement-I and Statement-II are correct and Statement-II explains Statement-I
Both Statement-I and Statement-II are correct but Statement-II does not explain Statement-I
Statement-I is correct but Statement-II is not correct
Statement-I is not correct but Statement-II is correct

Validate

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