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similarl
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There are 8 letters in SIMILARL ( A1I1L1M3R1S1 )
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In linear algebra, two n-by-n matrices A and B are called similar if* * * * B * = * * P * * − * 1 * * * A * P * * * {\displaystyle B=P^{-1}AP} * for some invertible n-by-n matrix P. Similar matrices represent the same linear operator under two (possibly) different bases, with P being the change of basis matrix.A transformation A ↦ P−1AP is called a similarity transformation or conjugation of the matrix A. In the general linear group, similarity is therefore the same as conjugacy, and similar matrices are also called conjugate; however in a given subgroup H of the general linear group, the notion of conjugacy may be more restrictive than similarity, since it requires that P be chosen to lie in H. |