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How to check whether the given matrix is a Toeplitz matrix using C#?
A matrix is Toeplitz if every diagonal from top-left to bottom-right has the same elements.
Example 1
[[1,2,3,4], [5,1,2,3], [9,5,1,2]]
Output −
true
In the above grid, the diagonals are −
"[9]", "[5, 5]", "[1, 1, 1]", "[2, 2, 2]", "[3, 3]", "[4]".
In each diagonal all elements are the same, so the answer is True.
Example 2
Input: matrix [[1,2], [2,2]]
Output −
false
The diagonal "[1, 2]" has different elements
Code
public class Matrix
{
public bool ToeplitzMatrix(int[,] mat)
{
int row = getMatrixRowSize(mat);
int col = getMatrixColSize(mat);
for (int i = 1; i < row; i++)
{
for (int j = 1; j < col; j++)
{
if (mat[i, j] != mat[i - 1, j - 1])
{
return false;
}
}
}
return true;
}
private int getMatrixRowSize(int[,] mat)
{
return mat.GetLength(0);
}
private int getMatrixColSize(int[,] mat)
{
return mat.GetLength(1);
}
}
static void Main(string[] args)
{
Matrix m = new Matrix();
int[,] mat = new int[3, 4] { { 1, 2, 3, 4 }, { 5, 1, 2, 3 }, { 9, 5, 1, 2 } };
Console.WriteLine(m.ToeplitzMatrix(mat));
}Output
TRUE
Updated on: 17-Aug-2021
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