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Identify the following matrix is singular or non-singular? [357-214325]

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प्रश्न

Identify the following matrix is singular or non-singular?

`[(3, 5, 7),(-2, 1, 4),(3, 2, 5)]`

बेरीज
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उत्तर

Let C = `[(3, 5, 7),(-2, 1, 4),(3, 2, 5)]`

∴ |C| = `|(3, 5, 7),(-2, 1, 4),(3, 2, 5)|`

= 3(5 – 8) – 5 ( – 10 – 12) + 7 ( – 4 – 3)

= – 9 + 110 – 49

= 52 ≠ 0

∴ C is a non-singular matrix.

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पाठ 4: Determinants and Matrices - Exercise 4.4 [पृष्ठ ८३]

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बालभारती Mathematics and Statistics (Arts and Science) Part 1 [English] Standard 11 Maharashtra State Board
पाठ 4 Determinants and Matrices
Exercise 4.4 | Q 3. (iii) | पृष्ठ ८३

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