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Solution (Print / Save)
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Problem: strictly diagonally dominant matrix [[3,1,2],[2,4,1],[1,1,2]] [ Calculator, Method and examples ]
Solution:
Your problem `->` strictly diagonally dominant matrix [[3,1,2],[2,4,1],[1,1,2]]
A Square matrix `A` is called diagonally dominant matrix, if `A_(ii)>=sum_(i!=j)^()|A_(ij)|`
and `A` is called strictly diagonally dominant matrix, if `A_(ii)>sum_(i!=j)^()|A_(ij)|`
`A=[[3,1,2],[2,4,1],[1,1,2]]`
`Row 1:|a_(11)|=|3|=3,+|a_(12)|+|a_(13)|=+|1|+|2|=3`
`3 > 3?` no
`Row 2:|a_(22)|=|4|=4,+|a_(21)|+|a_(23)|=+|2|+|1|=3`
`4 > 3?` yes
`Row 3:|a_(33)|=|2|=2,+|a_(31)|+|a_(32)|=+|1|+|1|=2`
`2 > 2?` no
So, given matrix is not Strictly Diagonally Dominant
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