Basic Manipulations

The transpose of a matrix a={aij} is the matrix a^t={aji}. If a is mxn, at is nxm. Let's see.


  MatrixForm[a]


  MatrixForm[Transpose[a]]

You can extract portions of matrices. The following give the a13 entry, the third row, and the second column of a matrix, respectively. Each row of a matrix is a row vector, each column of a matrix is a column vector.


  a[[1,3]]


  b[[1,3]]


  a[[3]]


  Transpose[a] [[2]]


  Transpose[b] [[2]]

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