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Pertanyaan

Let A , B , and C be real 2 × 2 matrices and denote A ⋅ B − B ⋅ A by [ A , B ] . Prove that: [ A , A ] = 0

Let , and  be real  matrices and denote  by . Prove that:

 

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A. Septianingsih

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

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Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row straight A equals cell open parentheses table row straight a straight b row straight c straight d end table close parentheses end cell row cell open square brackets straight A comma straight A close square brackets end cell equals cell straight A. straight A minus straight A. straight A end cell row blank equals cell open parentheses table row straight a straight b row straight c straight d end table close parentheses squared minus open parentheses table row straight a straight b row straight c straight d end table close parentheses squared end cell row blank equals cell 0 space left parenthesis terbukti right parenthesis end cell end table 

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Pertanyaan serupa

Let A , B , and C be real 2 × 2 matrices and denote A ⋅ B − B ⋅ A by [ A , B ] . Prove that: [ [ A , B ] , C ] + [ [ B , C ] , A ] + [ [ C , A ] , B ] = 0

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