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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In linear algebra, linear transformations can be represented by matrices. If T is a linear transformation mapping Rn to Rm and x is a column vector with n entries, then T( vec x ) = mathbf{A} vec x, for some m×n matrix A, called the transformation matrix of T. There is an alternative expression of transformation matrices involving row vectors that is preferred by some authors.

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In linear algebra, linear transformations can be represented by matrices. If T is a linear transformation mapping Rn to Rm and x is a column vector with n entries, then T( vec x ) = mathbf{A} vec x, for some m×n matrix A, called the transformation matrix of T. There is an alternative expression of transformation matrices involving row vectors that is preferred by some authors.