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The minor of 7 in [(3,1,4),(-1,0,3),(6,7...

The minor of 7 in `[(3,1,4),(-1,0,3),(6,7,5)]`is

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Express the matrix [(7,1,5),(-4,0,3),(-2,6,1)] as the sum of a symmetric and a skew symmetric matrices.

The value of [(7,3,2)][(4),(-1),(5)] is

Find the rank of the following matrices by minor method : [(1,-2,3),(2, 4, -6),(5,1,-1)]

Find the rank of each of the following matrices: (i) [{:(3,2,5),(1,1,2),(3,3,6):}] (ii) [{:(4,3,1,-2),(-3,-1,-2,4),(6,7,-1,2):}]

Find minors and cofactors of the elements of the determinant {:[( 2,-3,5),( 6,0,4),( 1,5,-7)]:} and verify that a_11 A_31+ a_12A_32+a_13A_33=0

Find the rank of the matrix math [(4,4,0,3),(-2,3,-1,5),(1,4,8,7)]

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not ? (i) R={(4,1),(5,1),(6,7)} (ii) R={(2,3),(2,5),(3,3),(6,6)} (iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (iv) R={(1,1),(2,1),(3,1),(4,1),(5,1)}

Find the rank of the following matrices by minor method : [{:(1,-2," "3),(2,4,-6),(5,1,-1):}]

Find the rank of the following matrices by minor method: (i) [{:(2,-4),(-1,2):}] (ii) [{:(-1,3),(4,-7),(3,-4):}] (iii) [{:(1,-2,-1,0),(4,-6,-3,1):}] (iv) [{:(1,-2,3),(2,4,-6),(5,1,-1):}] (v) [{:(0,1,2,1),(0,2,4,3),(8,1,0,2):}]

PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)
  1. If A is a square matrix such that A^(2)=A,then the value of A+(A-I)^(4...

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  2. If A and B are symmetric matrices of same order than AB-BA is a:

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  3. Let A=|(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3)c(3))|then the cofa...

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  4. The area of traingle whose vertices are (0,0),(3,4),and(2,5) is :

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  5. Find the odd man out:

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  6. Find the odd man out:

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  7. Find the correct statement:

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  8. Find the incorrect statement:

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  9. Find the incorrect statement:

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  10. Find the incorrect statement:

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  11. The value|A|^(2)where |A|=|(2,5),(1,6)|is

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  12. The minor of 7 in [(3,1,4),(-1,0,3),(6,7,5)]is

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  13. If A=|(2,1),(1,2)|,B=|(2,4),(1,2)|then |AB| is

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  14. If |(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3),c(3))|is 8 the value ...

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  15. Which one of the following is not true about the matrix [(2,0,0),(0,-2...

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  16. Find which one is true. If A and B are two matrices such that A+B and ...

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  17. If A is a square matrix then find the odd man out:

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  18. If x(1), x(2), x(3) and y(1),y(2), y(3) are in arithmetic progression ...

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  19. Let A andB be two skew symmetric matrices of the same order find the i...

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  20. (i) If A and B are symmetric matrices of same order AB-BA is a skew sy...

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