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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- If [[alpha,beta],[gamma,-alpha]] is to be square root of the two rowe...
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- If A and B are square matrices of same order such that, (A+B)^2=A^2+B...
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- The element in the first row and third column of the inverse of the ma...
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- A^2-A+I=0, then the inverse of A is
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- A is a 3 xx 3 matrix and B is its adjoint matrix. If |B|=81, then |A|=
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- If A=[[a,0,0],[0,a,0],[0,0,a]] then |adj A|=
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- For a 3xx 3 matrix A, if det A=3, then det (adj A)=
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- If (1 x 2)[[1,2,3],[0,1,5],[0,2,3]] [[x],[-1],[2]]=0 then x=
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- If A and B are two matrices such that A B=B and B A=A, then A^2+B^2=
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- If A=[[3,-4],[1,-1]] then the value of A^n=
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- If A is a square matrix of order n, then det (adj A)=
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- For any 2xx 2 matrix A, if A . adj A = [[7,0],[0,7]] then |A| is equal...
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- If A=[[1,-1,2],[2,1,-1],[-1,2,1]], then det [adj .(adj A)]=
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- If A = [[1,0,0],[0,1,0],[0,0,1]], then A^2+2 A=
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- If A = [[0,c,-b],[-c,0,a],[b,-a,0]] and B = [[a^(2),ab,ac],[ab,b^2,bc]...
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- If the matrix A B is a zero matrix, then
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- If A B=A and B A=B, then B^2=
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- If A = [(1,1),(1,1)] and n in N , then A^(n) equals :
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- If A= [[i,0],[0,i]], n in N, then A^(4 n) =
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- If A be a square matrix of order 3. If |A|=-2 then the value of the de...
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