1123.sagews

var('a1,a2,b1,b2,c1,c2')
a = matrix([[a1],[a2]])
b = matrix([[b1],[b2]])
c = matrix([[c1],[c2]])
M = (a-c).stack(b-c)
N = transpose(a-c).stack(transpose(b-c))

show(M)

\left($$\begin{array}{r} a_{1} - c_{1} \\ a_{2} - c_{2} \\ b_{1} - c_{1} \\ b_{2} - c_{2} \end{array}$$\right)

M

[a1 - c1] [a2 - c2] [b1 - c1] [b2 - c2]

N

[a1 - c1 a2 - c2] [b1 - c1 b2 - c2]

R.<a1,a2,b1,b2,c1,c2> = QQ[]
a = matrix([[a1],[a2]])
b = matrix([[b1],[b2]])
c = matrix([[c1],[c2]])
M = (a-c).stack(b-c)
N = transpose(a-c).stack(transpose(b-c))

M

[a1 - c1] [a2 - c2] [b1 - c1] [b2 - c2]

N

[a1 - c1 a2 - c2] [b1 - c1 b2 - c2]