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  2. Transformation matrix - Wikipedia

    en.wikipedia.org/wiki/Transformation_matrix

    If is a linear transformation mapping to and is a column vector with entries, then = for some matrix , called the transformation matrix of . [ citation needed ] Note that A {\displaystyle A} has m {\displaystyle m} rows and n {\displaystyle n} columns, whereas the transformation T {\displaystyle T} is from R n {\displaystyle \mathbb {R} ^{n ...

  3. List of common coordinate transformations - Wikipedia

    en.wikipedia.org/wiki/List_of_common_coordinate...

    This is a list of some of the most commonly used coordinate transformations. 2-dimensional Let (,) ... Transformation matrix; References. Arfken, George (2013).

  4. Vectorization (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Vectorization_(mathematics)

    The vectorization is frequently used together with the Kronecker product to express matrix multiplication as a linear transformation on matrices. In particular, vec ⁡ ( A B C ) = ( C T ⊗ A ) vec ⁡ ( B ) {\displaystyle \operatorname {vec} (ABC)=(C^{\mathrm {T} }\otimes A)\operatorname {vec} (B)} for matrices A , B , and C of dimensions k ...

  5. Power Query - Wikipedia

    en.wikipedia.org/wiki/Power_Query

    Power Query was firstly included as an optional additional import feature in Excel besides PowerPivot (used for providing a data model to the PivotTables pivot tables, and more) in Excel 2010 and 2013. In Excel 2016, the function was included in standard Excel and renamed Get & Transform for a short time, but has since been named Power Query again.

  6. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    Noting that any identity matrix is a rotation matrix, and that matrix multiplication is associative, we may summarize all these properties by saying that the n × n rotation matrices form a group, which for n > 2 is non-abelian, called a special orthogonal group, and denoted by SO(n), SO(n,R), SO n, or SO n (R), the group of n × n rotation ...

  7. Hankel matrix - Wikipedia

    en.wikipedia.org/wiki/Hankel_matrix

    The Hankel matrix transform, or simply Hankel transform, of a sequence is the sequence of the determinants of the Hankel matrices formed from .Given an integer >, define the corresponding ()-dimensional Hankel matrix as having the matrix elements [], = +.

  8. Helmert transformation - Wikipedia

    en.wikipedia.org/wiki/Helmert_transformation

    The Helmert transformation (named after Friedrich Robert Helmert, 1843–1917) is a geometric transformation method within a three-dimensional space. It is frequently used in geodesy to produce datum transformations between datums. The Helmert transformation is also called a seven-parameter transformation and is a similarity transformation.

  9. List of named matrices - Wikipedia

    en.wikipedia.org/wiki/List_of_named_matrices

    Synonym for (0,1)-matrix, binary matrix or Boolean matrix. Can be used to represent a k-adic relation. Markov matrix: A matrix of non-negative real numbers, such that the entries in each row sum to 1. Metzler matrix: A matrix whose off-diagonal entries are non-negative. Monomial matrix

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