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Find the rank of the following matrices by minor method: [2-4-12] - Mathematics

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प्रश्न

Find the rank of the following matrices by minor method:

`[(2, -4),(-1, 2)]`

योग

उत्तर

A = `[(2, -4),(-1, 2)]`

A is a matrix of order 2 × 2 and P(A) ≤ 2

Second order minor

|A| = `[(2, -4),(-1, 2)]`

= 4 – 4

= 0

∴ P(A) ≠ 2

First order minor is non vanishing

P(A) = 1

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Elementary Transformations of a Matrix
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Applications of Matrices and Determinants - Exercise 1.2 [पृष्ठ २७]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 1 Applications of Matrices and Determinants
Exercise 1.2 | Q 1. (i) | पृष्ठ २७
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