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witout expanding at any stage Prove that `|{:(0,,a,,-b),(-a,,0,,-c),(b,,c,,0):}| =0`

Answer» `|{:(0,,a,,-b),(-a,,0,,-c),(b,,c,,0):}|=|{:(0,,-a,,b),(a,,0,,c),(-b,,-c,,0):}|`
(Taking transpose)
` =(-1)^(3)|{:(0,,a,,-b),(-a,,0,,-c),(b,,c,,0):}|` (Taking (-1) common from each row)
`:. Delta=-Delta`
`rArr 2Delta =0`
`rArr Delta=0`


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