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If A is a skew-symmetric matrix of odd o...

If A is a skew-symmetric matrix of odd order `n ,` then `|A|=0`

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CBSE COMPLEMENTARY MATERIAL-MATRICES AND DETERMINANTS-TWO MARK QUESTIONS
  1. Construct a matrix of order 2xx3, whose elements are given by (a) aij...

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  2. If A(x(1),y(1)),B(x(2),y(2))andC(x(3),y(3)) are vertices of on equilat...

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  3. Show that the elements on the main diagonal of a skew-symmetric mat...

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  4. Find the value of x and y, when (i) [{:(x+y),(x-y):}]=[{:(8),(4):}] ...

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  5. If A and B are symmetric matrices of the same order, show that AB+BA i...

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  6. Show that |[0,p-q,p-r] , [q-p, 0, q-r] , [r-p, r-q, 0]|=0

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  7. Let A=[(2,5),(4,6)] Prove that A+A^T is symmetric matrix

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  8. If A=[(2),(3),(5)]andB=["1 2 3"], Verify (AB)'=B'A'

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  9. If A=[{:(" "1," "0,-2),(" "3,-1," "0),(-2," "1," "1):}],B=[{:(" "0,5,-...

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  10. If A=[1 3 2 1] , find the determinant of the matrix A^2-2A .

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  11. Without expanding evaluate the determinant =|265 240 219 240 225 19...

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  12. If D(1)=|(a,b,c),(x,y,z),(l,m,n)|andD(2)=|(m,-b,y),(-l,a,-x),(n,-c,z)|...

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  13. If A is a skew-symmetric matrix of odd order n , then |A|=0

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  14. Write the minors and co-factors of each elements of the first column o...

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  15. For what values of x and y are the following matrices equal ? A=[(2x...

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  16. If A=[(2,-2),(4,2),(-5,1)],B=[(8,0),(4,-2),(3,6)], find matrix 'C', su...

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  17. If A=[(x,0),(1,1)]andB=[(1,0),(5,1)] find x such that A^(2)=B.

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  18. Construct a matrix of order 3xx2, whose elements a(ij) given by aij ...

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