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Given the matrix A=[[x,3,2],[1,y,4],[2,2...

Given the matrix `A=[[x,3,2],[1,y,4],[2,2,z]]`. If `xyz=60 and 8x+4y+3z=20,` then `A(adjA)` is equal to

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CENGAGE PUBLICATION-MATRICES-All Questions
  1. If A=[[a,b],[c,d]] (where b c!=0 ) satisfies the equations x^2+k=0,t h...

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  2. If A ,B ,A+I ,A+B are idempotent matrices, then A B is equal to a.B A ...

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  3. Given the matrix A=[[x,3,2],[1,y,4],[2,2,z]]. If xyz=60 and 8x+4y+3z=2...

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  4. Let A +2B=[[1, 2, 0],[ 6,-3, 3],[-5, 3, 1] ] and 2A-B=[[2,-1, 5 ],[2,-...

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  5. Which of the following in an orthogonal matrix

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  6. If k in Ro then det{adj(k In)} is equal to (A) K^(n-1) (B) K^((n-1)...

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  7. If A1, A2, , A(2n-1) are n skew-symmetric matrices of same order, th...

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  8. Let A=[[1 ,2 ,3],[ 2, 0, 5],[ 0 ,2 ,1]] and B=[[0],[-3],[1]] . Which ...

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  9. Column I, Column II If |A|=2,t h e n|2A^(-1)=(w h e r eA is of orde...

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  10. A=[[0 ,1],[ 3 ,0]]a n d(A^8+A^6+A^4+A^2+I) V=[[0] ,[11]](w h e r e I i...

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  11. Show that every square matrix A can be uniquely expressed as P+i Q ,wh...

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  12. Express A as the sum of a Hermitian and a skew-Hermitian matrix, where...

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  13. If A=([a(i j)])(nxxn) is such that ( a )(i j)=bar (a(j i)),AAi ,j and...

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  14. Statement 1: If A is an orthogonal matrix of order 2, then |A|=+-1. ...

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  15. Column I, Column II (I-A)^n is if A is idempotent, p. 2^(n-1)(l-...

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  16. Evaluate P(AuuB) if 2P(A) = P(B) =5/13 and P(A/B) = 25

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  17. Show that the solutions of the equation [(x,y),(z,t)]^2=0 are[(x,y),(...

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  18. If A=[[-1, 1],[ 0,-2]] , then prove that A^2+3A+2I=Odot Hence, find ...

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  19. If B ,C are square matrices of order na n difA=B+C ,B C=C B ,C^2=O , ...

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  20. Statement 1: if D=diag[d1, d2, ,dn],then D^(-1)=diag[d1^(-1),d2^(-1),...

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