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1 byte added ,  14:13, July 25, 2016
→‎top: Spelling/Grammar Check, typos fixed: i.e, → i.e.,
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:<math>\sum_{i=-\infty}^\infty c_i \delta_{ij} =c_j</math>.
 
:<math>\sum_{i=-\infty}^\infty c_i \delta_{ij} =c_j</math>.
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The elements of the [[identity matrix]] can be seen as following Kronecker Delta (i.e, <math>(I)_{ij} = \delta_{ij}</math>). To see this, let <math>A</math> be an nxn matrix, <math>a_{ij}</math> be its elements and <math>I</math> be the nxn identity matrix. Then <math>A = AI</math>  so,
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The elements of the [[identity matrix]] can be seen as following Kronecker Delta (i.e., <math>(I)_{ij} = \delta_{ij}</math>). To see this, let <math>A</math> be an nxn matrix, <math>a_{ij}</math> be its elements and <math>I</math> be the nxn identity matrix. Then <math>A = AI</math>  so,
    
:<math> a_{ij} = \sum_{k=0}^n a_{ik}(I)_{kj} = \sum_{k=0}^n a_{ik}\delta_{kj} = a_{ij}</math>
 
:<math> a_{ij} = \sum_{k=0}^n a_{ik}(I)_{kj} = \sum_{k=0}^n a_{ik}\delta_{kj} = a_{ij}</math>
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