Manuals/calci/MATRIXMINUS

MATRIXMINUS (a,b,ConsiderUnits)

• $a$ and $b$ are any two matrices.

Description

• This function calculates the subtraction of the two matrices.
• In $MATRIXMINUS(a,b)$,$a$ and $b$ are any two matrices.
• Minus is one of the four basic operations of arithmetic.
• Minus operation is the opposite operation of Add.
• Matrix minus is the basic operation of subtracting two matrices with the corresponding entries.
• Two matrices must have an equal number of rows and columns.
• The minus of matrices A and B is denoted by $A-B={\begin{bmatrix}a_{11}&a_{12}&\cdots &a_{1n}\\a_{21}&a_{22}&\cdots &a_{2n}\\\vdots &\ddots &\vdots \\a_{m1}&a_{m2}&\cdots &a_{mn}\end{bmatrix}}-{\begin{bmatrix}b_{11}&b_{12}&\cdots &b_{1n}\\b_{21}&b_{22}&\cdots &b_{2n}\\\vdots &\ddots &\vdots \\b_{m1}&b_{m2}&\cdots &b_{mn}\end{bmatrix}}={\begin{bmatrix}a_{11}-b_{11}&a_{12}-b_{12}&\cdots &a_{1n}-b_{1n}\\a_{21}-b_{21}&a_{22}-b_{22}&\cdots &a_{2n}-b_{2n}\\\vdots &\ddots &\vdots \\a_{m1}-b_{m1}&a_{m2}-b_{m2}&\cdots &a_{mn}-b_{mn}\end{bmatrix}}$
• Suppose the number of rows in the first matrix is more than the second matrix,this function will return the extra row entries with the same number.
• Suppose the number of rows in the second matrix is more than the first matrix ,the extra row values of the second matrix will be ignored.

Examples

1. MATRIXMINUS([2,4,0;8,6,3;9,12,-11],[3,-5,-9;8,5,7;8,4,6])

-1	9	9
0	1	-4
1	8	-17

2. MATRIXMINUS([-10,13,17;22,19,14],[12,18,-25;32,25,-16])

-22	-5	42
-10	-6	30

See Also

• MATRIXOPERATORS
• MATRIXADD
• MATRIXMULTIPLY

References

• Matrix Subtraction

• List of Main Z Functions
• Z3 home