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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- If A=[[x,1],[1,0]]and A^2=I, then A^-1 =
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- If A= [[-2,2],[3,1]] then 8A^-1=
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- The inverse of the matrix A= [[0,1,0],[1,0,0],[0,0,1]] is A
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- If the matrix A=[[8,-6,2],[-6,7,-4],[2,-4,lambda]] is singular, then l...
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- If A= [[3,-3,4],[2,-3,4],[0,-1,1]]then
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- If A=[[3,-2],[1,2]] and A^2+k A+8 I=0, then k=
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- If A=[[1,0],[-1,7]] and A^2-8 A+k I=0, then k=
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- The sum of the eigen values of the matrix A=[[2,-1,3],[1,4,2],[3,1,1]]...
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- The product of the eigen values of the matrix A= [[3,-1],[2,3]] is
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- If 4,-3 are the eigen values of a 2xx 2 matrix A and |A|=6, then the e...
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- If A=[[1,a],[0,1]], then lim (n to oo)(1)/(n) A^n is
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- Let k be a positive real number and let |A|=(2 k+1)^3 and B=[[0,2k,-...
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- If A=[[-1,2,1],[1,-1,2],[2,1,1]], then det(a d j(adj A))=
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- For a 3xx 3 matrix A, if A .(adj A)=[[3,0,0],[0,3,0[,[0,0,3]] then |A|...
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- If A= [[4,x+2],[2x-3, x-1]] is symmetric then x=
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- If A= [[2,0,0],[0,2,0],[0,0,2]] then A^6=
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- Total number of possible symmetric matrices of order 3xx 3, whose entr...
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- If A is matrix of order mxxn and B is a matrix such that AB' and B'A...
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- If A and B are matrices of same order then(A B^prime-B A^prime) is
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- If A is a square matrix such that A^(2) = I , then : (A-I)^(3) +(A+I)...
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