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Identify the singular and non-singular matrices: [2-3560415-7] - Mathematics

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प्रश्न

Identify the singular and non-singular matrices:

`[(2, -3, 5),(6, 0, 4),(1, 5, -7)]`

थोडक्यात उत्तर
बेरीज

उत्तर

Let B = `[(2, -3, 5),(6, 0, 4),(1, 5, -7)]`

|B| = `|(2, -3, 5),(6, 0, 4),(1, 5, -7)|`

|B| = 2(0 – 20) + 3(– 42 – 4) + 5(30 – 0)

|B| = – 40 + 3 × – 46 + 150

|B| = – 40 – 138 + 150

|B| = – 178 + 150 ≠ 0

∴ B is non singular.

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Determinants
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Matrices and Determinants - Exercise 7.4 [पृष्ठ ३९]

APPEARS IN

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

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