यदि `A=[(1,0,1),(0,1,2),(0,0,4)]` हो तो दिखाइए `|3A|=27|A|`

Explanation

`A=[(1,0,1),(0,1,2),(0,0,4)]`
`implies|A|=|(1,0,1),(0,1,2),(0,0,4)|=|(1,2),(0,4)|-0-0=4-0=4`
`implies 27|A|=27xx4=108`
अब `3A=[(3,0,3),(0,3,6),(0,0,12)]`
`|3A|=|(3,0,3),(0,3,6),(0,0,12)|=3|(3,6),(0,12)|-0+0`
`=(36-0)=108`
`:.|3A|=27|A|`