Monday, 2 September 2019

Cross product of two matrix

How to find the cross product of two matrix

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> C_mat = matrix(c(1, 2, 3, 4, 5, 7), 2, 3)
>
> D_mat = matrix(c(2, 2, 2, 2, 2, 2), 2, 3)
>
> crossprod(C_mat, D_mat)
     [,1] [,2] [,3]
[1,]    6    6    6
[2,]   14   14   14
[3,]   24   24   24
>
> t(C_mat) %*% D_mat
     [,1] [,2] [,3]
[1,]    6    6    6
[2,]   14   14   14
[3,]   24   24   24
>
> all.equal(crossprod(C_mat, D_mat), t(C_mat) %*% D_mat)
[1] TRUE
> crossprod(C_mat, C_mat)
     [,1] [,2] [,3]
[1,]    5   11   19
[2,]   11   25   43
[3,]   19   43   74
>
> t(C_mat) %*% C_mat
     [,1] [,2] [,3]
[1,]    5   11   19
[2,]   11   25   43
[3,]   19   43   74
>
> all.equal(crossprod(C_mat, C_mat), t(C_mat) %*% C_mat)
[1] TRUE

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