Let p lambda^4+qlambda^3+rlambda^2+slamb...

Let `p lambda^4+qlambda^3+rlambda^2+slambda+t`=`|{:(lambda^2+3lambda,lambda-1,lambda-3),(lambda-1,-2lambda,lambda-4),(lambda-3,lambda+3," "3lambda):}|`be an identity in `lambda` where p,q,r,s and t are constants. Then the value of t is

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-6

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CHHAYA PUBLICATION-DETERMINANT -EXERCISE 2B

The determinant |{:(a,b,aalpha+b),(b,c,aalpha+c),(aalpha+b,balpha+c,0...
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Given that x=-9 is a root of |{:(x,3,7),(2,x,2),(7,6,x):}|=0 then the ...
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Let p lambda^4+qlambda^3+rlambda^2+slambda+t=|{:(lambda^2+3lambda,lamb...
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The value of theta lying between theta=0 and theta=(pi)/2 and satifyi...
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Evaluate the determinants |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}| .
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Evaluate the determinants |{:(x+4,x,x),(x,x+4,x),(x,x,x+4):}|
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Let A=|{:(" "1," "sin theta,1),(-sin theta," "1,sintheta),(-1,-sinth...
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Let A be a square matrix of order 3xx3, then |KA| is equal to
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|{:(alpha,beta,gamma),(alpha^2,beta^2,gamma^2),(beta+gamma,gamma+alpha...
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|{:(x,a,b),(a,x,b),(a,b,x):}|
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|{:(2,3,4),(3,4,5),(4,5,6):}|=0
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|{:(a,b,c),(x,y,z),(p,q,r):}|=|{:(x,y,z),(p,q,r),(a,b,c):}|=|{:(y,b,q)...
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|{:(1,omega,omega^2),(omega,omega^2,1),(omega^2,1,omega):}|=0 where om...
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|{:(b+c,a,1),(c+a,b,1),(a+b,c,1):}|=0
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|{:(a-b,1,a),(b-c,1,b),(c-a,1,c):}|=|{:(a,1,b),(b,1,c),(c,1,a):}|
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|{:(a+1,a+4,a+2),(a+2,a+5,a+4),(a+3,a+6,a+6):}|=0
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|{:(" "0," "a,b),(-a," "0,c),(-b,-c,0):}|
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|{:(9,9,12),(1,-3,-4),(1,9,12):}|=0
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|{:(a,a^2,bc),(b,b^2,ca),(c,c^2,ab):}|=|{:(1,a^2,a^3),(1,b^2,b^3),(1,c...
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|{:(441,442,443),(445,446,447),(449,450,451):}|=0
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