What is outer multiplication in R?

In the first row, outer() is used with default settings which is outer product of two matrix. That’s why it is 10×10 matrix. For example, for the first column, it products all values of X with Y’s first element. Then for the second column, products all elements of X with Y’s second element.

How do you create an outer product of two arrays in R?

The outer product of the arrays X and Y is the array A with dimension c(dim(X), dim(Y)) where element A[c(arrayindex. x, arrayindex. y)] = FUN(X[arrayindex.

How do you calculate outer product?

If the two vectors have dimensions n and m, then their outer product is an n × m matrix.

What does outer () do in R?

outer() function in R Programming Language is used to apply a function to two arrays. Parameters: x, y: arrays. FUN: function to use on the outer products, default value is multiply.

How do you use outer in R?

R function: outer

  1. Create a matrix. outer takes two vectors and a function (that itself takes two arguments) and builds a matrix by calling the given function for each combination of the elements in the two vectors.
  2. Using an operator instead of a function.
  3. Using outer to create a grid for plotting.

Is outer product same as cross product?

In Geometric algebra, the cross-product of two vectors is the dual (i.e. a vector in the orthogonal subspace) of the outer product of those vectors in G3 (so in a way you could say that the outer product generalizes the dot product, although the cross product is not an outer product).

What is Sapply in R?

sapply() function in R Language takes list, vector or data frame as input and gives output in vector or matrix. It is useful for operations on list objects and returns a list object of same length of original set.

What is inner and outer product of matrix?

Inner and Outer Product. Definition: Inner and Outer Product. If u and v are column vectors with the same size, then uT v is the inner product of u and v; if u and v are column vectors of any size, then uvT is the outer product of u and v.

How do you use the matrix function in R?

To create a matrix in R you need to use the function called matrix(). The arguments to this matrix() are the set of elements in the vector. You have to pass how many numbers of rows and how many numbers of columns you want to have in your matrix. Note: By default, matrices are in column-wise order.

What is outer product used for?

An outer product is a procedure in linear algebra that combines two vectors (Banchoff & Wermer, 1992). Let a be a column vector with x entries, and let b’ be a row vector with y entries. The outer product of these two vectors is D = ab’ where D will be a matrix that will have x rows and y columns.

What is the difference between Lapply and Sapply?

Difference between lapply() and sapply() functions: lapply() function displays the output as a list whereas sapply() function displays the output as a vector. lapply() and sapply() functions are used to perform some operations in a list of objects.