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Construct a 3xx2 matrix whose elements are given by a_(ij)=e^(i.x)-sinjx. |
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Answer» Solution : Since, `A=[ a_(ij)]_(MXX) 1leilem` and `1lejlen,i,jepsilonN` `therefore A=[E^(1.x)Sinjx]_(3xx2):1leile3,1lejle 2` `rArr a_(11)=e^(1.x),sin1.x=e^(x)sinx` `a_(12)=e^(1X),sin2,x=e^(x)SIN2X` `a_(21)=e^(2.x),sin1.x=e^(2x)sinx` `a_(22)=e^(2.x),sin2,x=e^(2x)sin2x` `a_(31)=e^(3.x),sin1.x=e^(3x)sinx` ` a_(32)=e^(3x),sin2.x=e^(3x)sin2x` `therefore A=[{:(e^(x)sinx,e^(x)sin2x),(e^(2x)sinx,e^(2x)sin2x),(e^(3x)sinx,e^(3x)sin2x):}]` |
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