given by is a linear mapping. Determine its image and give a basis for the image. Is this correct? So the basis is (1,0),(0,1). Any help would be appreciated.
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Originally Posted by slevvio given by is a linear mapping. Determine its image and give a basis for the image. Is this correct? So the basis is (1,0),(0,1). Any help would be appreciated. The image is the set, . Now, . Thus, spams the the image. But it is not a basis we just need to remove the unnecessary vectors that can be duplicated from other ones, such as, .
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