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Let S be the set which contains all poss...

Let `S` be the set which contains all possible values of `l ,m ,n ,p ,q ,r` for which `A=[[l^2-3,p,0],[0,m^2-8,q],[r,0,n^2-15]]` be non-singular idempotent matrix. Then the sum of all the elements of the set `S` is ________.

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CENGAGE PUBLICATION-MATRICES-All Questions
  1. If M is a 3 xx 3 matrix, where det M=1 and MM^T=1, where I is an ident...

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  2. If A is a diagonal matrix of order 3xx3 is commutative with every squa...

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  3. Let S be the set which contains all possible values of l ,m ,n ,p ,q ,...

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  4. Given a matrix A=[(a,b,c),(b,c,a),(c,a,b)], where a, b, c are real pos...

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  5. If A is a square matrix of order 3 such that |A|=2,t h e n|(a d jA^(-1...

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  6. Let A=[[3x^2], [1], [6x]],B=[a,b,c]and C=[[(x+2)^2, 5x^2, 2x],[5x^2, 2...

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  7. If A is an idempotent matrix satisfying, (I-0. 4 A)^(-1)=I-alphaA ,w h...

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  8. Let A=([a(i j)])(3xx3) be a matrix such that AA^T=4Ia n da(i j)+2c(i j...

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  9. Let A be the set of all 3xx3 skew-symmetri matrices whose entries are ...

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  10. If A=[[0, 1,2],[1,2,3],[3,a,1]]and A^(-1)[[1//2,-1//2,1//2],[-4,3,b],[...

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  11. For two unimodular complex number z1a n dz2 [[barz1, -z2], [barz2, z1...

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  12. If Aa n dB are two non-singular matrices of the same order such that B...

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  13. If A is non-diagonal involuntary matrix, then a. A-I=O b. A+I=O c. A-...

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  14. if A and B are squares matrices such that A^(2006)=O and A B=A+B , the...

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  15. If matrix A is given by A=|[6, 11], [2, 4]| , then the determinant o...

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  16. If A=[(a, b, c), (x, y, z), (p, q, r)], B=[(q,-b, y),(-p, a,-x),(r,-c,...

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  17. If A and B are two non-singular matrices such that A B=C ,t h e n,|B| ...

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  18. If A(alpha,beta)=[cosalphas inalpha0-s inalphacosalpha0 0 0e^(beta)],t...

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  19. If A=[[a+i b, c+i d],[-c+i d, a-i b]] and a^2+b^2+c^2+d^2=1,t h e n ...

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  20. Statement 1: A=[(4,0,4),(2,2,2), (1,2,1)] B^(-1)=[(1,3,3),(1,4,3),(1,3...

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