1.

Select and write the most appropriate answer from the given alternatives in each of the following : The inverse of the matrix `{:((-1,5),(-3,2)):}` isA. `(1)/(13)[{:(2,-5),(3,-1):}]`B. `(1)/(13)[{:(-1,5),(-3,2):}]`C. `(1)/(13)[{:(-1,-3),(5,2):}]`D. `(1)/(13)[{:(1,5),(3,-2):}]`

Answer» `A=[{:(a,b),(c,d):}]`
`A^(-1)=(1)/(ad-bc)=[{:(d,-b),(-c,a):}]`
So, `[{:(1-,5),(-3,2):}],=(1)/(-2-(-15))[{:(2,-5),(3,-1):}]`
`=(1)/(13)[{:(2-,5),(3,-1):}]`
Hence, correct answer from the given alternative is (a)


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