A real n × n matrix A = {aij} is defined as follows: aij = i, if i = j, otherwise 0
The summation of all n eigen values of A is
A. \[\frac{{{\text{n}}\left( {{\text{n}} + 1} \right)}}{2}\]
B. \[\frac{{{\text{n}}\left( {{\text{n}} - 1} \right)}}{2}\]
C. \[\frac{{{\text{n}}\left( {{\text{n}} + 1} \right)\left( {2{\text{n}} + 1} \right)}}{6}\]
D. \[{{\text{n}}^2}\]
Answer: Option A
This Question Belongs to Engineering Maths >> Linear Algebra
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