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- If P=[[sqrt(3)/2,1/2],[-1/2,sqrt(3)/2]], A=[[1,1],[0,1]] and Q=PAP^T a...
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- The number of 3xx3 matrices A whose entries are either 0or1 and for wh...
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- If A=|[alpha,2], [2,alpha]| and |A|^3=125 , then the value of alpha ...
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- Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=...
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- A is an involuntary matrix given by A=|[0, 1,-1], [4,-3, 4], [3,-3, 4]...
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- If A is a non-singular matrix such that A A^T=A^T A and B=A^(-1)A^T ,...
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- Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...
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- Let omega be a complex cube root of unity with omega!=1a n dP=[p(i j)]...
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- If A=[[i,-i],[-i ,i]] and B=[[1,-1],[-1 ,1]], t hen ,A^8 equals a.4B b...
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- If [[2,-1],[1,0],[-3,4]]A=[[-1,-8,-10],[1,-2,-5],[9,22,15]] , then sum...
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- If A = 1/ sqrt(3) [[1,1+i],[1-i,1]] then A((A)^T) equals :
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- Identify the incorrect statement in respect of two square matrices Aa ...
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- If A is a square matrix such that A^2=A , then write the value of 7A-(...
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- If A and B are square matrices of order n , then prove that Aa n dB wi...
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- Matrix A such that A^2=2A-I ,w h e r eI is the identity matrix, the fo...
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- Let A=[(0,alpha),(0,0)] and (A+I)^(50)=50 A=[(a,b),(c,d)] Then the val...
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- If e^(A) is defined as e^(A)=I+A+A^(2)/(2!)+A^(3)/(3!)+...=1/2 [(f(x),...
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- Prove that matrix [((b^(2)-a^(2))/(a^(2)+b^(2)),(-2ab)/(a^(2)+b^(2))),...
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- If A=[(a,b),(c,d)], where a, b, c and d are real numbers, then prove t...
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- If A=([a(i j)])(nxxn) is such that ( a )(i j)=bar (a(j i)),AAi ,j and...
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