anonymous
  • anonymous
Let B be a 4 × 4 diagonal matrix, and let WB be the set of 4 × 4 matrices which commute with B (i.e., those matrices A so that AB = BA) Check that WB is a a subspace of M4×4(R)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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TuringTest
  • TuringTest
I'm pretty bad at strong proofs for this kind of thing, but\[AB+CB=BA+BC=(A+C)B\implies B(A+C)\in\ W\]so it seems closed under addition
TuringTest
  • TuringTest
Hardly much to show for scalar multiplication\[c(AB)=c(BA)=cAB=cBA\in W\]
TuringTest
  • TuringTest
and the zero vector is quite commutative... so you can do that part yourself

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