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If A+B is a non -singular matrix then ...

If A+B is a non -singular matrix then
A-B -`A(A+B)^(-1)A+B(A+B)^(-1) B ` equals

A

O

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B

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MCGROW HILL PUBLICATION-MATRICES-EXERCISE ( LEVEL -2 ) ( single Correct Answer Type Questions)
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  2. If a,b,c ne0 and a+b+c=0 then the matrix [(1+(1)/(a),1,1),(1,1+(1)/(...

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  3. Suppose matrix A satisfies the equation A^(2) -5A +7I=O . If A^(8)=aA+...

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  4. If alpha, beta, gamma are three real numbers and A=[(1,cos (alpha-beta...

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  5. Let A(theta)= ((sin theta,i costheta),(icostheta, sin theta)), then

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  6. Let A and B are two matrices such that AB = BA, then for every n in ...

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  7. Let A=[{:(1,2,1),(0,1,-1),(3,1,1):}]. Find the sum of all the value of...

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  8. Let a,b,c in R be such that a+b+c gt 0 and abc = 2 . Let A = [(a,b,c...

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  9. If A is a 3xx3 skew -symmetric matrix with real entries and trace of A...

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  10. Suppose A and B are two 3xx3 non -singular matrices such that (AB)^(...

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  11. Let A be a square matrix of order 3 such that |Adj A | =100 then |A| ...

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  12. Let M be a 3xx3 matrix satisfying M[{:(0),(1),(0):}]=[{:(-1),(2),(3):}...

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  13. If A , B and A+B are non -singular matrices then (A^(-1)+B^(-1)) [(A...

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  14. If A+B is a non -singular matrix then A-B -A(A+B)^(-1)A+B(A+B)^(-1) ...

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  15. If A and B are two matrices such that A+B =AB , then

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  16. Let A=((a,b), (c,d)) such that A^3=0, then a+d equals

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  17. Let A = ((0,x,0),(y,0,-x),(0,y,0)) then A^(3) equals

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