Consider the matrices : A= [ array ll 2 & -5 3 & m array ], B= [ array l 20 m array ] and X= [ array l x y array ] . Let the set of all m , for which the system of equations A X=B has a negative solution (i.e., x

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Consider the matrices : A= [ array ll 2 & -5 3 & m array ], B= [ array l 20 m array ] and X= [ array l x y array ] . Let the set of all m , for which the system of equations A X=B has a negative solution (i.e., x < 0 and y < 0 ), be the interval (a, b) . Then 8 _a^b|A| d m is equal to_________

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aligned & A= ( array cc 2 & -5 3 & m array ), B= ( array c 20 m array ) & X= ( array l x y array ) & 2 x-5 y=20 (1) & 3 x+m y=m (2) & y= 2 m-60 2 m+15 & y Now, aligned & 8 _ -15 2 ^0(2 ~m +15) dm =8 ~m ^2+15 ~m _ -15 2 ^0 & 8 - ( 225 4 - 225 2 ) & =8 225 4 =450 aligned

Consider the matrices : A= [ array ll 2 & -5 3 & m array ], B= [ array l 20 m array ] and X= [ array l x y array ] . Let the set of all m , for which the system of equations A X=B has a negative solution (i.e., x < 0 and y < 0 ), be the interval (a, b) . Then 8 _a^b|A| d m is equal to_________

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