If A= [ array lll 1 & 1 & 1 1 & 2 & 3 1 & 3 & 4 array ], B= [ array c 7 16 22 array ], X= [ array c x y z array ] and A X=B , then z is equal to

Step-by-step solution

We have, A= [ array lll 1 & 1 & 1 1 & 2 & 3 1 & 3 & 4 array ], B= [ array c 7 16 22 array ] X= [ array l x y z array ] Now, A X=B aligned &x+y+z=7 ...(i) &x+2 y+3 z=16 ...(ii) &x+3 y+4 z=22 ...(iii) aligned Subtracting Eq. (i) from Eq. (ii), we get y+2 z=9 ...(iv) Subtracting Eq. (iii) from Eq. (ii), we get y+z=6 ...(v) Subtracting Eq. (v) from Eq. (iv), we get z=3