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Let A=a0 be a matrix of order 3, where a...

Let `A=a_0` be a matrix of order 3, where `a_(i j)=x ; ifi=j ,x in R, 1 if|i-j|=1, 0;ot h e r w i s e` then when of the following Hold (s) good: for`x=2` , (a) `A` is a diagonal matrix (b) `A` is a symmetric matrix for`x=2` , (c) det `A` has the value equal to 6 (d) Let `f(x)=` , det `A ,` then the function `f(x)` has both the maxima and minima.

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CENGAGE PUBLICATION-MATRICES-All Questions
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  2. Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equatio...

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  3. Let A=a0 be a matrix of order 3, where a(i j)=x ; ifi=j ,x in R, 1 if...

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  4. A skew-symmetric matrix A satisfies the relation A^2+I=O ,w h e r e , ...

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  5. If A B=Aa n dB A=B , then a. A^2B=A^2 b. B^2A=B^2 c. A B A=A d....

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  6. Each question has four choices a, b, c and d, out of which only one is...

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  7. IfD=d i ag[d1, d2, dn] , then prove that f(D)=d i ag[f(d1),f(d2), ,f(...

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  8. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

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  9. If F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)] and G(y)=[(cos y,0...

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  10. If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],...

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  11. Elements of a matrix A of order 10xx10 are defined as a("ij")=omega^(i...

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  12. If A is a 3xx3 skew-symmetric matrix, then trace of A is equal to -1 b...

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  13. If A and B are symmetric matrices of the same order and X=AB+BA and Y=...

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  14. The number of solutions of the matrix equation X^2=[[1, 1],[ 2, 3]] is...

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  15. If A^2-A+I=0, then the inverse of A is a. A^(-2) b. A+I c. I-A d. A-I

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  16. If [[2, 1],[ 3, 2]]A[[-3 ,2],[ 5,-3]]=[[1 ,0],[ 0, 1]], then "A= (...

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  17. If A and B are two nonzero square matrices of the same order such that...

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  18. Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt...

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  19. Let X \ a n d \ Y be two arbitrary, 3xx3 , non-zero, skew-symmetric ma...

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  20. evaluate: int1/((x^2+1)(x^2+4))dx

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