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If A=[[1,2],[4,2]], then show that |2A|=...

If `A=[[1,2],[4,2]]`, then show that `|2A|=4|A|`

Text Solution

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here, 2A=`[(1,2),(4,2)] = [(2,4),(8,4)]`
`|2A|= |(2,4),(8,4)| = 2*4 - 4*8 `
`= 8-32= -24`
now, `|A|= |(1,2),(4,2)|= 1*2 - 2*4 = -6`
`4|A| =4*(-6)= -24`
so, `4|A|= |2A|`
hence proved
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