Question:medium
Let S be the set of all \( 2 \times 2 \) symmetric matrices whose entries are either zero or one. A matrix X is chosen from S. The probability that the determinant of X is not zero is:
Let S be the set of all \( 2 \times 2 \) symmetric matrices whose entries are either zero or one. A matrix X is chosen from S. The probability that the determinant of X is not zero is:
Show Hint
For \(2 \times 2\) matrices, determinant becomes zero when rows or columns become linearly dependent.
Updated On: May 1, 2026
- \( \frac{1}{3} \)
- \( \frac{1}{2} \)
- \( \frac{3}{4} \)
- \( \frac{1}{4} \)
- \( \frac{2}{9} \)
Show Solution
The Correct Option is B
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