SOLUTION: Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix? Select one: 3x+y−z=1 x+3y+z=1 x−y+3z=0 x+3y+z=1 3x+y−z=1

Question 1176196: Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?
Select one:
3x+y−z=1
x+3y+z=1
x−y+3z=0
x+3y+z=1
3x+y−z=1
x−y+3z=0
x+3y+z=1
x−y+3z=0
3x+y−z=1
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.

In mathematics, a square matrix is said to be diagonally dominant if, for every row of the matrix,
the magnitude (absolute value) of the diagonal entry in a row is larger than or equal to the sum
of the magnitudes (absolute values) of all the other (non-diagonal) entries in that row.

See this Wikipedia article
https://en.wikipedia.org/wiki/Diagonally_dominant_matrix

Having this definition, provided to you, YOU do the rest.

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