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NCERT-MATRICES-MISCELLANEOUS EXERCISE
- Find x, if [[x,-5,-1]][[1, 0 ,2 ],[0,2, 1 ],[2 ,0 ,3]][[x],[4] ,[1]]=O...
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- If A=[[3, 1],[-1, 2]], show that A^2-5A+7I=0
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- Show that the matrix B'AB is symmetric or skew symmetric according as ...
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- If A and B are symmetric matrices, prove that AB – BA is a skew symme...
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- For what values of x : [[1, 2, 1]][[1 ,2 ,0],[ 2, 0, 1],[ 1, 0, 2]][[0...
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- Find the values of x, y, z if the matrix A=[[0, 2y, z],[ x, y,-z],[ x...
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- Let A=[[0, 1],[ 0, 0]]show that (a I+b A)^n=a^n I+n a^(n-1)b A, where...
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- If A=[[3,-4],[1,-1]], then prove that A^n=[[1+2n,-4n],[n,1-2n]], where...
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- If A=[[1, 1, 1],[ 1, 1, 1],[ 1, 1, 1]], prove that A^n=[[3^(n-1),3^(n-...
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- If the matrix A is both symmetric and skew symmetric, then (A) A is a...
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- If A is square matrix such that A^2=A , then (I+A)^3-7A is equal to
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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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- If A=[[alpha,beta],[gamma,alpha]]is such that A^2=I, then
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- A manufacturer produces three products x, y, z which he sells in two...
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- Find the matrix X so that X[[1, 2, 3],[ 4 ,5, 6]]= [[-7,-8,-9],[2,4,6]...
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