While solving a system of linear equations AX = B using Cramer's rule with the usual notation if = | array ccc 1 & 1 & 1 2 & -1 & 2 -1 & 1 & 5 array | ; ₁= | array ccc 5 & 1 & 1 4 & -1 & 2 11 & 1 & 5 array | and X= [ array l 2 array ] then

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While solving a system of linear equations AX = B using Cramer's rule with the usual notation if = | array ccc 1 & 1 & 1 2 & -1 & 2 -1 & 1 & 5 array | ; ₁= | array ccc 5 & 1 & 1 4 & -1 & 2 11 & 1 & 5 array | and X= [ array l 2 array ] then ^2+ ^2=

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Correct answer: C. 5

Given, = | array ccc 1 & 1 & 1 2 & -1 & 2 -1 & 1 & 5 array | ₁= | array ccc 5 & 1 & 1 4 & -1 & 2 11 & 1 & 5 array | and x= [ array l 2 array ] Now, A X=B [ array ccc 1 & 1 & 1 2 & -1 & 2 -1 & 1 & 5 array ] [ array l 2 array ]= [ array l 5 4 11 array ] So, +2+ =5 + =3 (i) and, - +2+5 =11 - +5 =9 (ii) After solving equations (i) and (ii), we get =1, =2 So, ^2+ ^2=1+4=5

While solving a system of linear equations AX = B using Cramer's rule with the usual notation if = | array ccc 1 & 1 & 1 2 & -1 & 2 -1 & 1 & 5 array | ; ₁= | array ccc 5 & 1 & 1 4 & -1 & 2 11 & 1 & 5 array | and X= [ array l 2 array ] then ^2+ ^2=

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