Question

Construct 2× 2 matrix whose elements are given by aij = |i - j|

Answer 1

Answer:

A = |0     1|

      |1     0|

Step-by-step explanation:

Given that,

aij = |i-j|

the general form of a 2×2 matrix is

A = |a₁₁     a₁₂|

     |a₂₁    a₂₂|  

So, a₁₁ = |1-1| = 0

a₁₂ = |1-2| = |-1| = 1

a₂₁ = |2-1| = |1| = 1

a₂₂ = |2-2| = 0

⇒A = |0     1|

         |1     0|

∴A = |0     1|   is the required 2×2 matrix.

        |1     0|

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