Manuals/calci/MATRIXDIAGONALPRODUCT

MATRIXDIAGONALPRODUCT (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.

Description

• This function shows the product value of 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 MATRIXDIAGONALPRODUCT(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 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_{ij}} ,where i=j.
• So diagonal entries are $a_{11},a_{22},a_{33}$ and so on.
• Here it is calculating the product of the main diagonal values.
• So it is calculating 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. MATRIXDIAGONALPRODUCT([[5,8,12,13],[4,3,2,8],[7,2,5,3],[3,5,9,11]]) = 825
2. MATRIXDIAGONALPRODUCT([[1,2,3],[4,5,6],[9,8,6]]) = 30
3. MATRIXDIAGONALPRODUCT([[14,12],[13,15]]) = 210

Related Videos

Matrix Multiplication

See Also

• PRODUCT
• ANTIDIAGONAL
• DIAGONALMATRIX

References

• Main diagonal

• List of Main Z Functions
• Z3 home