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Construct a 2 × 3 Matrix Whose Elements Aij Are Given by : (Ii) Aij = 2i − J - Mathematics

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Question

Construct a 2 × 3 matrix whose elements aij are given by :

(ii) aij = 2i − j

Sum
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Solution

`a_(ij)= 2i- j `

`a_11=2(1)-1=2-1=1, a_12=2(1)-2=2-2=0, a_13=2(1)-3=2-3=-1`

`a_21=2(2)-1=4-1=3, a_22=2(2)-2=4-2=2 and a_23=2(2)-3=4-3=1`

Required matrix = A = `[[1,0,-1],[3,2,1]]`

 

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Chapter 5: Algebra of Matrices - Exercise 5.1 [Page 7]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.1 | Q 4.2 | Page 7
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