Matrix manipulation in R are very useful in Linear Algebra. Below are list of common yet important functions in dealing operations with matrices:

Transposing these, simply use

Multiplying these, would be

For the determinant, we have

Taking the inverse of

Finally, for eigenvalues and eigenvectors simply use

The output above returns the

- Transpose -
`t`

; - Multiplication -
`%*%`

; - Determinant -
`det`

; and, - Inverse -
`solve`

, or`ginv`

of MASS library - Eigenvalues and Eigenvectors -
`eigen`

Transposing these, simply use

`t`

Multiplying these, would be

For the determinant, we have

Taking the inverse of

`matrix1`

is achieved by `solve`

or `ginv`

R functions. Note that `ginv`

is in MASS package, and so we haveFinally, for eigenvalues and eigenvectors simply use

`eigen `

The output above returns the

`$values`

, which is the eigenvalues, and `$vectors`

, the eigenvectors.
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