Question: u is a finite dimensional vector space, L: Hou is a Linear function D. show that there exists bases a and b for u such

u is a finite dimensional vector space, L: Hou is a Linear function D. show that there exists bases a and b for u such that [LI. is a diagonal matrix 9. if W: U-U is another linear function. Show that there are bases as b, c, d for U such that [LJE = [wld if and only if dim ( ker (L ) ) = dimcker ( W) )

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