Manuals/calci/MATRIXSUBTRACT

MATRIXSUBTRACT (a,b)

• $a$ and $b$ are any two matrices.

Description

• This function is calculating the subtraction of two matrices or with the scalar value.
• In $MATRIXSUBTRACT(a,b)$,$a$ and $b$ 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:

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

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

See Also

• MATRIXSCALARSUBTRACT
• MATRIXOPERATORS
• MATRIXMOD

References

• Minus

• List of Main Z Functions
• Z3 home