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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- The constant term in the characteristic polynomial of the matrix A= [[...
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- If A is a square matrix such that A^2=A then det A=
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- Let A and B are matrices such that A+B and B A are both defined, then
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- Let A= [[1,-1],[2,-1]]and B= [[1,a],[4,b]]. If (A+B)^2=A^2+B^2 , then...
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- If A= [[x,1],[1,0]] and A^2=I then x=
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- If I= [[1,0],[0,1]] and J= [[0,1],[-1,0]] and B = [[cos theta, sin the...
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- If A = [[1,2], [5,4]] then (A+I)(A-6 I)=
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- If [[i,0],[3,-i]] +A = [[i, 2],[ 3 , 4+i ]] -A, then A=
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- If A= [[x,1], [0,x]]then A^n=
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- Let A = [[1,2],[0,1]]. Then A^(n) =
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- If A= [[ab,b^2],[-a^2, -ab]] then A^(2)=
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- If A = [(i,0),(0,i)] then A^(4n) (n in N ) equals :
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- If A= [[a,b],[c,-a]] is such that A^(2)=I, then a,b,c satisfy the rela...
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- If A=[[a,0,0],[0,a,0],[0,0,a]] then A^n='
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- If A=[[1,a],[0,1]], then lim (n to oo)(1)/(n) A^n is
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- If the matrix A is such that [[2,3],[1,2]]. A=[[3,2],[-1,1]] then A=
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- If the matrix A is such that A[[-1,2],[3,1]]=[[-4,1],[7,7]] then A=
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- IfA=[[1,(1)/(2)], [0,1]] then A^(64)=
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- If A=[[1,-2],[x,y]] and A A^prime=I then x=
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- If A= [[0,1,0],[1,0,0],[0,0,1]], then A^(2n)= where n is a positive in...
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