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A=[[0 ,1],[ 3 ,0]]a n d(A^8+A^6+A^4+A^2+...

`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 s` the `2xx2` identity matrix`),` then the product of all elements of matrix `V` is _____.

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CENGAGE PUBLICATION-MATRICES-All Questions
  1. Let A=[[1 ,2 ,3],[ 2, 0, 5],[ 0 ,2 ,1]] and B=[[0],[-3],[1]] . Which ...

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  2. 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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  3. 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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  4. Show that every square matrix A can be uniquely expressed as P+i Q ,wh...

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

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

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

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

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

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

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

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

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

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  14. If S is a real skew-symmetric matrix, then prove that I-S is non-si...

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  15. If B and C are non-singular matrices and O is null matrix, then show t...

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  16. Find the possible square roots of the two rowed unit matrix I.

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  17. If A=\begin{bmatrix} 1 & 2 & 2\\ 2 & 1 & 2\\ 2 & 2 & 1 \end{bmatrix} ,...

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  18. Let M be a 3xx3 matrix satisfying M[[0], [1] ,[0]]=[[-1], [2], [3]]...

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  19. If A is unimodular, then which of the following is unimodular? a. -A ...

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  20. Consider three matrices A=[(2,1),(4,1)], B=[(3,4),(2,3)] and C=[(3,-4)...

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