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Question

Construct a 3×3 matrix whose elements aij are given by aij=0 if ij and aij=i×j if i=j


  1. 100040009

  2. 111444999

  3. 011404990

  4. 100040009


Solution

The correct option is A

100040009


The elements of a 3\times 3 matrix are: A=a11a12a13a21a22a23a31a32a33

Applying the given rule: aij=0 if ij and  aij=i×j,  if i=j

a11=1,a12=0,a13=0a21=0,a22=4,a23=0a31=0,a32=0,a33=9

Therefore A=100040009 is the required matrix. 

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