Manuals/calci/MATRIXDIAGONAL

MATRIXDIAGONAL (a)

• $a$ is any square matrix.

Description

• This function shows the main diagonal values.
• In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle MATRIXDIAGONAL(a)} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} is any square matrix.
• The main diagonal of a matrix consists of those elements that lie on the diagonal that runs from top left to bottom right.
• Main diagonal is also called principal diagonal, primary diagonal, leading diagonal, or major diagonal.
• So main diagonal of a matrix A is defined by A is the collection of entries Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a_{i,j}} ,where i=j.
• Diagonal entries are Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a_{11},a_{22},a_{33}} and so on.

Examples

1. MATRIXDIAGONAL([[14,12],[13,15]]) = 14 15
2. MATRIXDIAGONAL([[1,2,3],[4,5,6],[9,8,6]]) = 1 5 6
3. MATRIXDIAGONAL([[5,8,12,13],[4,3,2,8],[7,2,5,3],[3,5,9,11]]) = 5 3 5 11

Related Videos

Diagonal Matrix

See Also

• ANTIDIAGONAL
• DIAGONALFILL
• DIAGONALMATRIX

References

• Main diagonal

• List of Main Z Functions
• Z3 home