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Chapter 1: Q23E (page 1)

If Aand Sare invertible nxnmatrices, then matrices AandSTASmust be similar.

Short Answer

Expert verified

The given statement is FALSE.

Step by step solution

01

Check whether the given statement is TRUE or FALSE

Let A=l and S=2l.

Then,STAS=4lwhich is not similar to a since the eigenvalues of STAS=4land A = l are different.

02

Final Answer

The given statement is FALSE.

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