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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.

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Solution

The elements of a 3×3matrix are: A=a11a12a13a21a22a23a31a32a33

[0.5 Marks]

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

[1 Mark]

Therefore A=100040009 is the required matrix.
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