Linear Algebra Using R

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Linear Algebra Using R

• James West

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Defining Vectors
Defines a vector with each component specified
by the user.
Defines a vector with ascending values.
Defines an empty vector of the declared length.
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Playing With Vectors
Returns the dot product of the vectors v and w.
Returns the length of the vector v.
Returns the norm or magnitude of the vector v.
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Defining Matrices
Defines a matrix with 6 entries, 2 rows and
entries given by column.
Defines a matrix with 6 entries,2 rows and
entries given by row.
Defines a matrix with 2 columns.
Defines a diagonal matrix with specified entries.
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Matrix Operations
Returns the sum of two matrices.
Returns the transpose of a matrix.
Returns the vector Av.
Returns the matrix AB.
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Matrix Operations
Returns the inverse of the matrix A.
Returns the solution to Ax b, note that
solve(A,b) will also work.
Returns the determinant of A.
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Finding Eigenvalues and Vectors
The eigen() command will return a vector of
eigenvalues and a matrix with the eigenvectors
as columns.