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Construct a 2 × 2 matrix whose elements in the ith row and jth column are given by: aij = i + j - Mathematics

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Question

Construct a 2 × 2 matrix whose elements in the ith row and jth column are given by:

aij = i + j

Sum
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Solution

We have aij = i + j

a11 = 1 + 1 = 2

a12 = 1 + 2 = 3

a21 = 2 + 1 = 3

a22 = 2 + 2 = 4

∴ The required matrix is `[(2, 3),(3, 4)]`

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Chapter 8: Matrices - Exercise 8A [Page 149]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 8 Matrices
Exercise 8A | Q 3. (ii) | Page 149
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