Manuals/calci/MATRIXSUBTRACT

MATRIXSUBTRACT (a,b)

• 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 } and 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 b} are any two matrices.

Description

• This function is calculating the subtraction of two matrices or with the scalar value.
• 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 MATRIXSUBTRACT(a,b)} ,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} and 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 b} are two matrices.
• Suppose when we are subtracting two matrices,the order of the matrices to be considered.
• But while subtracting with a scalar order of matrix is not considered.
• Using this function we can do the subtraction between two matrices and one matrix with a scalar value.
• So subtraction is defined by:

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-B= \begin{bmatrix} a_{11} & a_{12}&\cdots & a_{1n} \\ a_{21}& a_{22}& \cdots & a_{2n} \\ \vdots & \ddots & \vdots \\ a_{m1} & a_{m2}& \cdots & a_{mn} \end{bmatrix} -\begin{bmatrix} b_{11} & b_{12}&\cdots & b_{1n} \\ b_{21}& b_{22}& \cdots & b_{2n} \\ \vdots & \ddots & \vdots \\ b_{m1} & b_{m2}& \cdots & b_{mn} \end{bmatrix} = \begin{bmatrix} a_{11}-b_{11} & a_{12}-b_{12}&\cdots & a_{1n}-b_{1n} \\ a_{21}-b_{21}& a_{22}-b_{22}& \cdots & a_{2n}-b_{2n} \\ \vdots & \ddots & \vdots \\ a_{m1}-b_{m1} & a_{m2}-b_{m2}& \cdots & a_{mn}-b_{mn} \end{bmatrix}}

Examples

1. MATRIXSUBTRACT([[10,14,17],[6,-3,-5],[21,-34,76]],[[22,25,33],[-17,19,20],[26,35,-21]])

-12	-11	-16
23	-22	-25
-5	-69	97

2. MATRIXSUBTRACT([[2,17,18,-34,98],[60,3.15,36,23,13]],[[54,55,3,19,25],[65,45,77,-90,88.8]])

-52	-38	15	-53	73
-5	-41.85	-41	113	-75.8

Related Videos

Matrix Subtraction

See Also

• MATRIXSCALARSUBTRACT
• MATRIXOPERATORS
• MATRIXMOD

References

• Minus

• List of Main Z Functions
• Z3 home