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Question

If A=⎡⎢⎣111123134⎤⎥⎦,B=⎡⎢⎣71622⎤⎥⎦,X=⎡⎢⎣xyz⎤⎥⎦ and AX=B then z is equal to

A
1
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B
1
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C
3
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D
3
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Solution

The correct option is B 3
AX=B
∣ ∣111123134∣ ∣ ∣ ∣xyz∣ ∣ =∣ ∣x+y+zx+2y+3zx+3y+4z∣ ∣=∣ ∣71622∣ ∣
x+y+z=7.....(1)
x+2y+3z=16......(2)
x+3y+4z=22......(3)
(2)(1)
y+2z=9......(4)
(3)(2);y+z=6......(5)
(4)(5)z=3

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