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Check whether the following matrices are invertible or not: [343110145] - Mathematics and Statistics

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प्रश्न

Check whether the following matrices are invertible or not:

`[(3, 4, 3),(1, 1, 0),(1, 4, 5)]`

बेरीज

उत्तर

Let A = `[(3, 4, 3),(1, 1, 0),(1, 4, 5)]`

Then, |A| = `|(3, 4, 3),(1, 1, 0),(1, 4, 5)|`

= 3(5 – 0) – 4(5 – 0) + 3(4 – 1)

= 15 –  20 + 9

= 4 ≠ 0

∴ A is a non-singular matrix.

∴ A is invertible.

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पाठ 2: Matrices - Miscellaneous Exercise 2 [पृष्ठ ८५]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 2 Matrices
Miscellaneous Exercise 2 | Q 4.15 | पृष्ठ ८५

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