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Consider the set A of all matrices of or...

Consider the set A of all matrices of order 3 `xx` 3 with entries 0 or 1 only. Let B be the subset of A consisting of all matrices whose determinant is 1. Let C be the subset of A consisting of all matrices whose determinant is -1. Then which one of the following is correct ?

A

C is empty

B

B has as many element as C

C

`A = B cup C`

D

B has twice as many elements as C.

Text Solution

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The correct Answer is:
B
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