# Vector ** Vector -- tensor product

## Synopsis

• Operator: **
• Usage:
v ** w
• Inputs:
• v,
• w,
• Outputs:
• , the tensor product of v and w

## Description

If v is in the module M, and w is in the module N, then v**w is in the module M**N.
 i1 : R = ZZ[a..d]; i2 : F = R^3 3 o2 = R o2 : R-module, free i3 : G = coker vars R o3 = cokernel | a b c d | 1 o3 : R-module, quotient of R i4 : v = (a-37)*F_1 o4 = | 0 | | a-37 | | 0 | 3 o4 : R i5 : v ** G_0 o5 = | 0 | | -37 | | 0 | o5 : cokernel | a b c d 0 0 0 0 0 0 0 0 | | 0 0 0 0 a b c d 0 0 0 0 | | 0 0 0 0 0 0 0 0 a b c d |