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Without expanding evaluate the following determinant: |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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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Determinants and Matrices - Exercise 4.2 [पृष्ठ ६७]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 4 Determinants and Matrices
Exercise 4.2 | Q 1. (ii) | पृष्ठ ६७

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