Square root of a 2 by 2 matrix
id:
square-root-of-a-2-by-2-matrix-288-17826391
title:
Square root of a 2 by 2 matrix
text:
A square root of a 2×2 matrix M is another 2×2 matrix R such that M = R2, where R2 stands for the matrix product of R with itself. In general, there can be zero, two, four, or even an infinitude of square-root matrices. In many cases, such a matrix R can be obtained by an explicit formula. Square roots that are not the all-zeros matrix come in pairs: if R is a square root of M, then −R is also a square root of M, since (−R)(−R) = (−1)(−1)(RR) = R2 = M.A 2×2 matrix with two distinct nonzero eigen
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https://en.wikipedia.org/wiki/Square_root_of_a_2_by_2_matrix
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date modified:
2024-03-26T21:11:34Z
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