Compatibility With Kronecker Products
The vectorization is frequently used together with the Kronecker product to express matrix multiplication as a linear transformation on matrices. In particular,
for matrices A, B, and C of dimensions k×l, l×m, and m×n. For example, if (the adjoint endomorphism of the Lie algebra gl(n,C) of all n×n matrices with complex entries), then, where is the n×n identity matrix.
There are two other useful formulations:
Read more about this topic: Vectorization (mathematics)
Famous quotes containing the word products:
“Good wine needs no bush,
And perhaps products that people really want need no
hard-sell or soft-sell TV push.
Why not?
Look at pot.”
—Ogden Nash (1902–1971)