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Identify the following matrix is singular or non-singular? [75-47]

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प्रश्न

Identify the following matrix is singular or non-singular?

`[(7, 5),(-4, 7)]`

योग
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उत्तर

Let A = `[(7, 5),(-4, 7)]`

∴ |A| = `|(7, 5),(-4, 7)|`

= 49 + 20

= 69 ≠ 0

∴ A is a non-singular matrix.

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अध्याय 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
अध्याय 4 Determinants and Matrices
Exercise 4.4 | Q 3. (iv) | पृष्ठ ८३

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