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Which of the following in an orthogonal matrix

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Which of the following is an orthogonal matrix ? ( ⎡ ⎢ ⎣ 6 / 7 2 / 7 − 3 / 7 2 / 7 3 / 7 6 / 7 3 / 7 − 6 / 7 2 / 7 ⎤ ⎥ ⎦ (b) ⎡ ⎢ ⎣ 6 / 7 2 / 7 3 / 7 2 / 7 − 3 / 7 6 / 7 3 / 7 6 / 7 − 2 / 7 ⎤ ⎥ ⎦ (c) ⎡ ⎢ ⎣ − 6 / 7 − 2 / 7 − 3 / 7 2 / 7 3 / 7 6 / 7 − 3 / 7 6 / 7 2 / 7 ⎤ ⎥ ⎦ (d) ⎡ ⎢ ⎣ 6 / 7 − 2 / 7 3 / 7 2 / 7 2 / 7 − 3 / 7 − 6 / 7 2 / 7 3 / 7 ⎤ ⎥ ⎦

For any matrix A, if A^(-1) exists then which of the following is not true ?

In which of the following tissues is the matrix not product of synthesis of its cells?

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Which of the following is(are) NOT of the square of a 3xx3 matrix with real enteries?

In which of the following type of matrix inverse does not exist always? a. idempotent b. orthogonal c. involuntary d. none of these

Find the characteristic roots of the two-rowed orthogonal matrix [(cos theta,-sin theta),(sin theta,cos theta)] and verify that they are of unit modulus.

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Let Aa n dB be two nonsingular square matrices, A^T a n dB^T are the transpose matrices of Aa n dB , respectively, then which of the following options are correct? (correct option may be more than one) (a) . B^T A B is symmetric matrix (b) . if A is symmetric B^T A B is symmetric matrix (c) . if B is symmetric B^T A B is skew-symmetric matrix for every matrix A (d) . B^T A B is skew-symmetric matrix if A is skew-symmetric

Which of the following pair(s) of curves is/are orthogonal?

CENGAGE PUBLICATION-MATRICES-All Questions
  1. 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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  2. Let A +2B=[[1, 2, 0],[ 6,-3, 3],[-5, 3, 1] ] and 2A-B=[[2,-1, 5 ],[2,-...

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  3. Which of the following in an orthogonal matrix

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

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

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

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  7. 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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  8. 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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  9. Show that every square matrix A can be uniquely expressed as P+i Q ,wh...

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

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

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

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

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

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

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

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

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

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

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

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