a.The 1-norm (column sum) for the matrixA=123256369The sum of elements in each column:1+2+3=62+5+6=133+6+9=18The maximum is 18, so||A||1=18The∞-norm (row sum): The sum of elements in each row is the same since the matrix issymmetric, so||A||∞The 2-norm is the same as the spectral norm since the matrix is symmetric. We need to Fndthe eigenvalues ofA1−λ2325−λ6369−λ
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.