Evalute the determinants in queations 1 and 2 : If `A=[{:(1,2),(4,2):}]`, then show that |2A|=4|A|.
Evalute the determinants in queations 1 and 2 :
If `A=[{:(1,2),(4,2):}]`, then show that |2A|=4|A|.
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`A=[{:(1,2),(4,2):}]=2-8=-6`
`therefore:" "R.H.S.=4|A|=4(-6)=-24`
`"and "2A=2[{:(1,2),(4,2):}]=[{:(2,4),(8,4):}]`
`rArr" "|2A|=[{:(2,4),(8,4):}]=8-32=-24`
`therefore" "L.H.S.=-24`
Now |2A|=4|A|
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