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Show that |[0,b-a,c-a],[a-b,0,c-b],[a-c,...

Show that `|[0,b-a,c-a],[a-b,0,c-b],[a-c,b-c,0]| =0`

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If Delta= |[0,b-a,c-a],[a-b,0,c-b],[a-c,b-c,0]| then Delta=

Without expanding or evaluating show that |0b-ac-aa-b0c-ba-cb-c0|=0

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Without expanding or evaluating show that det[[a-b,0,c-ba-c,b-c,0]]=0

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