Find Standard Matrix for Composition of Linear Transformations | Linear Algebra Exercises

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We find the standard matrix for a composition of linear transformations. We do this by finding the standard matrix for the component transformations (using the images of the standard basis vectors as columns) then multiply those individual standard matrices together to produce the standard matrix for the composition. #linearalgebra

Composition of Matrix Transformations:

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A simpler way is to plug each basis vector in T1 and get its image and then plug this image in T2 to get the final T1•T2 image. Put these two image vectors by side and you get the composition matrix.

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