Strictly upper triangular matrix

A strictly upper triangular matrix is a square matrix with zeros in the bottom left triangle (like an upper triangular matrix) and zeros along the diagonal as well.

${\displaystyle \mathbf {U} ={\begin{bmatrix}0&u_{1,2}&u_{1,3}&\ldots &u_{1,n}\\0&0&u_{2,3}&\ldots &u_{2,n}\\0&0&\ddots &\ddots &\vdots \\0&0&0&\ddots &u_{n-1,n}\\0&0&0&0&0\end{bmatrix}}}$

See also

• Strictly lower triangular matrix
• Triangular matrix
• Matrix (mathematics)
• Gaussian elimination
• LU decomposition
• QR decomposition
• Hessenberg matrix
• Tridiagonal matrix

External links

Wolfram Math World - http://mathworld.wolfram.com/