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प्रश्न
Which of the following matrices are singular or non singular?
`[(5, 0, 5),(1, 99, 100),(6, 99, 105)]`
उत्तर
Let A = `[(5, 0, 5),(1, 99, 100),(6, 99, 105)]`
∴ |A| = `|(5, 0, 5),(1, 99, 100),(6, 99, 105)|`
Applying C2 → C2 + C1, we get
|A| = `|(5, 5, 5),(1, 100, 100),(6, 105, 105)|`
= 0 ...[∵ C2 and C3 are identical]
∴ A is a singular matrix.
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