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Identify the singular and non-singular matrices: [123456789] - Mathematics

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प्रश्न

Identify the singular and non-singular matrices:

`[(1, 2, 3),(4, 5, 6),(7, 8, 9)]`

बेरीज
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उत्तर

Let A = `[(1, 2, 3),(4, 5, 6),(7, 8, 9)]`

|A| = `|(1, 2, 3),(4, 5, 6),(7, 8, 9)|`

|A| = 1(45 – 48) – 2(36 – 42) + 3(32 – 35)

|Al = – 3 – 2 × – 6 + 3 × – 3

|A| = – 3 + 12 – 9

|A| = – 12 + 12 = 0

∴ A is a singular matrix.

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पाठ 7: Matrices and Determinants - Exercise 7.4 [पृष्ठ ३९]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 7 Matrices and Determinants
Exercise 7.4 | Q 3. (i) | पृष्ठ ३९
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