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Matrices

Question
CBSEENMA12032853
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Construct a 3 x 4 matrix whose elements are

ai  j = i +J  

Solution

Let A = [ aii] be required 3 x 4 matrix where aij= i + j
therefore space space spacea11 = 1 + 1 = 2, a12 =1+2, a13=1 + 3 = 4, a14 = 1 + 4 = 5
      a21 = 1 + 1 = 2, a22 =1+2, a23=1 + 3 = 4, a24 = 1 + 4 = 6
      a31 = 1 + 1 = 2, a32 =1+2, a33=1 + 3 = 4, a34 = 1 + 4 = 7 

therefore space space space space straight A equals open square brackets table row 2 3 4 5 row 3 4 5 6 row 4 5 6 7 end table close square brackets   

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