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Find the rank of the following matrices by minor method: [1-2-103-6-31] - Mathematics

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प्रश्न

Find the rank of the following matrices by minor method:

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

बेरीज

उत्तर

A = `[(1, -2 - 1, 0),(3, -6 - 3, 1)]`

A is a matrix of order 2 × 4 and P(A) ≤ 2

Second order minor

`|(1, -2),(3, -6)| = - 6 + 6` = 0

`|(-2, -1),(-6, -3)| = 6 - 6` = 0

`|(-1, 0),(-3, 1)| = -1 + 0` = 1 ≠ 0

∴ P(A) = 2

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Elementary Transformations of a Matrix
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 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
पाठ 1 Applications of Matrices and Determinants
Exercise 1.2 | Q 1. (iii) | पृष्ठ २७

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