T1207 12 -1 57 Let A + 2B= 6 -3 3 -...
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T1207 12 -1 57 Let A + 2B= 6 -3 3 -1 6 and 2A-B=2 15 31 To 121 then Tr (A) - Tr(B) has the value is equal to (2) 0 (b) 1 (c) 2 (d) None of these

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Trace of matrix = Sum of diagoral elemerds What diagonal elemerts of A be ( a, b ), ( c ). Bbe d, e, f ( operatorname{fem} A+2 B=left[begin{array}{rrr}1 & 2 & 0 6 & -3 & 3 -5 & 3 & 1end{array}right] ) [ 1+(-3)+1=a+b+c+21 d+e+f ] from ( 2 A-B=left[begin{array}{ccc}2 & -1 & 5 2 & -1 & 6 0 & 1 & 2end{array}right] ) [ 2-1+2=2(a+b+c)+(d+e+f) m(2) ] ( (2)-(1) Rightarrow(a+b+c)-(d+e+t)=3+1=94 ) ( (1)+8) Rightarrow(a+b+c)+(d+e+t)=3-1=2 ) ( (3)+(4) Rightarrow 2(a+b+c)=6 ) ( (a+b+c)=3 ) brom (3) ( (d+e+f)=(-1) ) ( T gamma(A)=(a+b+c)=3 ) ( T_{0}(B)=(d+P+f)=-1 ) [ T_{gamma}(A)-cdots gamma(B)=3-(-1)=9 ]
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