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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
- If P(x)=[cosxsinx-sinxcosx] , then show that P(x)P(y)=P(x+y) .
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- If P=[(x,0, 0),( 0,y,0 ),(0, 0,z)] and Q=[(a,0 ,0 ),(0,b,0 ),(0, 0,c)...
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- If A=[(2, 0, 1 ),(2, 1, 3),( 1,-1, 0)] , find A^2-5A+4I and hence fi...
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- If [[1,1],[0,1]] , prove that A^n=[[1,n],[0,1]] for all positive int...
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- If A=[(a, b),(0, 1)] , prove that A^n=[(a^n,b((a^n-1)/(a-1))),(0 ,1)] ...
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- If A=[costhetaisinthetaisinthetacostheta] , then prove by principle...
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- If A=[cosalpha+sinalpha,sqrt(2)sinalpha; -sqrt(2)sinalpha,cosalpha-sin...
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- If A=[1 1 1 0 1 1 0 0 1] , then use the principle of mathematical in...
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- If B ,\ C are n rowed square matrices and if A=B+C , B C=C B , C^2=...
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- If A=d i ag\ (a\ \ b\ \ c) , show that A^n=d i ag\ (a^n\ \ b^n\ \ c^n)...
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- If A is a square matrix, using mathematical induction prove that (A...
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- A matrix X has a+b rows and a+2 columns while the matrix Y has b+1 ...
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- Give examples of matrices A and B such that A B!=B A . (ii) A and B...
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- Give examples of matrices A and B such that A B=O but B A!=O . (ii)...
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- Let A and B be square matrices of the same order. Does (A+B)^2=A^2+...
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- If A and B are square matrices of the same order, explain, why in g...
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- Let A and B be square matrices of the order 3xx3 . Is (A B)^2=A^2B^...
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- If A and B are square matrices of the same order such that A B=B A ...
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- Let A=[[1 ,1, 1],[ 3, 3, 3]] , B=[[3,1], [5, 2],[-2, 4]] and C=[[4,2],...
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- Three shopkeepers A ,\ B\ a n d\ C go to a store to buy stationary....
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