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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- If A = [ (2,lambda,-3),(0,2,5),(0,1,3)] , then A^(-1) exists if :
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- A root of the equation |(0, x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 is
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- The maximum value of Delta=|(1,1,1),(1,1+sintheta,1),(1+costheta,1,1)|...
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- Let f(t)=|(cost,t,1),(2sint,t,2r),(sint,t,t)| , then {:(lim),(t rarr0)...
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- If A,B and C are angles of a triangle, then the determinant : |(-1,c...
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- If A is a square matrix of order 3 xx 3, then |KA| is equal to
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- Which of the following is correct
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- If the area of the triangle with vertices (2,-6),(5,4) and (K,4) is 35...
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- If Delta= [[ a11 , a12 , a13],[a21 , a22 , a23],[a31 , a32 , a33 ]] an...
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- If A is an invertible matrix of order 2 then find |A^(-1)|
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- Let A=[[ 1 , sin theta , 1 ],[-sin theta , 1 , sin theta],[-1 , -sin t...
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- If A+B=[[1,0],[1,1]] and A-2 B=[[-1,1],[0,1]] then A=
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- If A=[[-1,2],[-2,1]], B=[[3,4],[2,-1]] and A+2 X=B, then X=
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- Choose the correct answer
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- For how many values of x in the closed interval [-4,-1] the matrix [[3...
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- If A= [(2,3),(4,6)], " then " A^(-1) =
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- If A and B are square matrices of the same order, then show that (AB)^...
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- The inverse of the matrix [[1 , -2],[3 ,4 ]] is
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- Inverse of the matrix [[cos 2 theta,-sin 2 theta],[sin 2 theta , cos 2...
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- If A=[[1 ,-1] , [-1 , 1]], then A^(2)=
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