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RufusDawes
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What does X'X mean ?
MarneMath said:Last time I saw that it was regarding deviation a sums of squares and cross product matrix. http://stattrek.com/matrix-algebra/sums-of-squares.aspx For more fun.
In mathematical terms, "X'X" refers to the transpose of matrix X multiplied by matrix X. This calculation is commonly used in statistics and linear algebra.
To calculate "X'X", you must first find the transpose of matrix X, which involves flipping the rows and columns of the matrix. Then, multiply the transposed matrix X by the original matrix X. The resulting matrix will be "X'X".
In statistics, "X'X" is used in regression analysis to find the coefficients of a linear regression equation. These coefficients represent the relationship between the independent variables and the dependent variable.
Yes, "X'X" can be equal to zero if the original matrix X is a zero matrix. This can happen if all the values in the matrix are zero or if the matrix has no rows or columns.
In addition to its use in statistics and linear algebra, "X'X" also has applications in data compression, image processing, and signal processing. It is a fundamental calculation in many areas of science and engineering.