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Find the inverse the matrix (if it exist...

Find the inverse the matrix (if it exists)given in`[-1 5-3 2]`

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`"Let A ="|{:(-1,5),(-3,2):}|`
`rArr" "|A|=|{:(-1,5),(-3,2):}|=-2-(-15)=13ne0`
`therefore A^(-1)` exists.
Now `A_(11)=(-1)^(2)2=2,A_(12)=(-1)^(3)(-3)=3`
`A_(21)=(-1)^(3)5=-5,A_(22)=(-1)^(4)(-1)=-1`
`therefore" adj A ="|{:(2,3),(-5,-1):}|=|{:(2,-5),(3,-1):}|`
`"Now A"^(-1)=1/|A|".adj A"=1/13|{:(2,-5),(3,-1):}|`
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NAGEEN PRAKASHAN ENGLISH-DETERMINANTS-Exercise 4.5
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  6. Find the inverse the matrix (if it exists)given in[-1 5-3 2]

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