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Question

Verbal Reasoning Question on Statements and Inferences

Given below are two statements:
Statement I : If Matrices A is orthogonal then Determinant of A is ± 1 i.e |A| = ± 1
Statement II : If Matrices A has Determinant of A is ±1 i.e |A| = ± 1, then matrice A is orthogonal
In the light of the above statements, choose the correct answer from the options Given below:

A

Both Statement I and Statement II are true

B

Both Statement I and Statement II are false

C

Statement I is true but Statement II is false

D

Statement I is false but Statement II is true

Answer

Both Statement I and Statement II are false

Explanation

Solution

The correct option is(B): Both Statement I and Statement II are false