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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
- Three schools A ,\ B and C organised a mela for collecting funds fo...
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- Prove that the product of matrices [cos^2thetacosthetasinthetacosthe...
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- Let A=[(0,-tan(alpha/2)),(tan(alpha/2),0)] and I be the identity matr...
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- Let F(x)=[cosx -sinx 0 sinx cosx 0 ...
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- Let A=[2 3-1 2] and f(x)=x^2-4x+7 . Show that f(A)=O . Use this result...
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- If A=[0 1 0 0] , prove that (a I+b A)^n=a^n\ I+n a^(n-1)\ b A where I ...
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- Let A ,\ B be two matrices such that they commute. Show that for an...
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- Let A ,\ B be two matrices such that they commute. Show that for an...
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- If A is a square matrix such that A^2=A , show that (I+A)^3=7A+I .
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- If A is a square matrix such that A^2=I , then find the simplified...
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- If A=[3\ \ \ 5] , B=[7\ \ \ 3] , then find a non-zero matrix C such...
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- Compute the indicated products: [a b-b a][a-bb a] (ii) [1-2 2 3][1 ...
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- Show that A B!=B A in the following case: A=[5-1 6 7] and B=[2 1 3 ...
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- Compute the products A B and B A whichever exists in each of the fol...
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- Compute the products A B and B A whichever exists in each of the fol...
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- Show that A B!=B A in each of the following cases: A=[[1, 3,-1],[2,-...
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- Evaluate the following: ([(1,3),( -1,-4))]+[(3 ,-2 ),(-1 ,1)])[(1 ,3,5...
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- If A=[[1, 0],[ 0, 1]] , B=[[1,0],[0,-1]] and C=[[0, 1],[ 1, 0]] , then...
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- If A=[[2,-1],[ 3, 2]] and B=[[0, 4],[-1, 7]] , find 3A^2-2B+I .
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- If A=[[4, 2],[-1, 1]] , prove that (A-2I)(A-3I)=O .
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