मराठी

Without expanding evaluate the following determinants : |2345686x9x12x| - Mathematics and Statistics

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प्रश्न

Without expanding evaluate the following determinant:

`|(2, 3, 4),(5, 6, 8),(6x, 9x, 12x)|`

बेरीज

उत्तर

Let D = `|(2, 3, 4),(5, 6, 8),(6x, 9x, 12x)|`

Taking (3x) common from R3, we get

D = `3x|(2, 3, 4),(5, 6, 8),(2, 3, 4)|`

= (3x)(0)          ...[∵ R1 and R3 are identical]
= 0

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Determinants
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Determinants - EXERCISE 6.2 [पृष्ठ ८९]

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