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In mathematics, especially in linear algebra and matrix theory, the duplication matrix and the elimination matrix are linear transformations used for transforming half-vectorizations of matrices into vectorizations or (respectively) vice versa.
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This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.
Form 1040-X (officially, the "Amended U.S. Individual Tax Return") is used to make corrections on Form 1040, Form 1040A, and Form 1040EZ tax returns that have been previously filed (note: forms 1040-A and 1040-EZ were discontinued starting with tax year 2018, but a 1040X may still be filed amending one of these tax forms filed for previous years).
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It'll take more than stars to advance in the College Football Playoff. A look at the X-factors that could be critical in the first round.
As of the 2018 tax year, Form 1040, U.S. Individual Income Tax Return, is the only form used for personal (individual) federal income tax returns filed with the IRS. In prior years, it had been one of three forms (1040 [the "Long Form"], 1040A [the "Short Form"] and 1040EZ - see below for explanations of each) used for such returns.