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Impossible Event

30. Let S be ...

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30. Let S be the set of all 2 x 2 symmetric matrices whose entries are either zero or one. A matrix X is chosen from S. The probability that the determinent of X is not zero is (A) 1 / 3 (B) 1 / 2 (C) 3 / 4 (D) 1 / 4 (E) 2 / 9

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Q. Let A be the set of all 3

\times

3 symmetric matrices all of whose entries are either 0 or 1, five of these entries are 1 and four of them are zero. The number of matrices in A is

A

be the set of all

3 \times 3

symmetric matrices all whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.

The number of matrices in

A

| A | = 0

A

be the set of all

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symmetric matrices all of whose entries are either

0

1

. Five of these entries are

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.

The number of matrices in

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A

be the set of all

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determinant is chosen from the set of all determinants of order

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- x

only. The probability that the value of the determinant is non-zero is

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