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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Find the rank of the following matrices by minor method: [-134734] - Mathematics

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Question

Find the rank of the following matrices by minor method:

`[(-1, 3),(4, 7),(3, 4)]`

Sum

Solution

A = `[(-1, 3),(4, 7),(3, 4)]`

A is a matrix of order 3 × 2 and P(A) ≤ 2

Second order minor

`[(-1, 3),(4, -7)]`

= 7 – 12

= – 5 ≠ 0

∴ P(A) = 2

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Elementary Transformations of a Matrix
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Chapter 1: Applications of Matrices and Determinants - Exercise 1.2 [Page 27]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 1 Applications of Matrices and Determinants
Exercise 1.2 | Q 1. (ii) | Page 27
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