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KC SINHA-MATRICES - FOR COMPETITION-Exercise
- If A=[(0,-1,2),(1,0,3),(-2,-3,0)], then A+2A^t equals (A) a (B) -A^t (...
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- The adjoint of the matrix [(2,5),(3,1)] is (A) [(2,5),(3,1)] (B) [(1,-...
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- If A is a square matrix then A-A\' is a
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- If A=[(2,3),(5,-2)] then 9A^-1 is equal to (A) A\' (B) 2A (C) 1/2 A (D...
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- The matrix X in the equation AX=B, such that A= [(1,3),(0,1)] and B= [...
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- If [(1,a,2),(1,2,5),(2,1,1)] is non invertible then a= (A) 2 (B) 1 (C)...
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- If A=[(-a^2, ab, ac),(ab,-b^2,bc),(ac,bc,-c^2)] then det A is equal to...
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- If A=[(1,tan(theta/2)),(-tan(theta/2),1)] and AB=I, then B= (A) {cos^2...
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- If A=[(-1,0,0,1),(-1,1,0,2),(-1,0,0,1),(0,0,0,0)], then A(adjA) equals...
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- I A=[(0,5),(0,0)] and f(x)=1+x+x^2+…+^16, then f(A)= (A) 0 (B) [(1,5),...
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- If A is a non singular square matrix 3 then |adj(A^3)| equals (A) |A|^...
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- If A is a square matrix of order n xx n and k is a scalar, then adj (k...
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- If A=[(3,-3,4),(2,-3,4),(0,-1,1)]2-3 41 then show that A^-1=A^1.
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- If A=[(1,0,),(2,0)] and B=[(0,0),(1,12)] then= (A) AB=0, BA=0 (B) AB=0...
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- The value of a for which system of equation , a^3x+(a+1)^3y+(a+2)^3z=0...
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- If I3 is the identity matrix of order 3 then I3^-1 is (A) 0 (B) 3I3 (C...
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- If the matrix AB=0 then (A) A=0 or B=0 (B) A=0 and B=0 (C) It is not n...
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- The matrix [0 5-7-5 0 11 7-11 0] is (a) a skew-symmetric matrix (b) a ...
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- A square matrix A=[a(ij)] in which a(ij)=0 for i!=j and [a](ij)=k (co...
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- If A=[(2,2),(-3,2)] and B=[(0,-1),(1,0)] then (B^-1A^-1)^-1= (A) [(2,-...
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