If the value of the determinant 3/x,8/-10 is 2
find the value of x.
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Step-by-step explanation:
ANSWER
A=
⎣
⎢
⎢
⎡
3−x
2
−2
2
4−x
−4
2
1
−1−x
⎦
⎥
⎥
⎤
If the matrix is singular, its determinant has to be zero.
⇒(3−x)[(4−x)(−1−x)+4]−2[2(−1−x)+2]+2[−8+2(4−x)]=0
⇒(3−x)[−4−4x+x+x
2
+4]−2[−2−2x+2]+2[−8+8−2x]=0
⇒(3−x)[x
2
−3x]+4x−4x=0
⇒(3−x)x(x−3)=0
⇒x=0,3
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