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The value of a determinants unaltered if...

The value of a determinants unaltered if

A

two rows are interchanged

B

two columns are intercheanged

C

every element in row (or column) is multiplied by the same number

D

to each element of a row (or a column) is added equi-multiples of the corresponding elements of another row or column.

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The correct Answer is:
D
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ICSE-DETERMINANTS -Multiple Choice Questions
  1. If A=[a(ij)] is a square matrix of order 3 and A(ij) denote cofactor o...

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  2. The value of a determinants unaltered if

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  3. If A is square matrix of order 3, then which of the following is not t...

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  4. The value of |{:(a+pd,a+qd,a+rd),(p,q,r),(d,d,d):}| is

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  5. The value of |{:(2^(2),2^(3),2^(4)),(2^(3),2^(4),2^(5)),(2^(4),2^(5),2...

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  6. If |(3x,4),(5,x)|=|(4,-3),(5,-2)|, then x =

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  7. The value of |(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

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  8. The value of |{:(a,a+2b,a+4b),(a+2b,a+4b,a+6b),(a+4b,a+6b,a+8b):}| is

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  9. If abc!=0 then |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}| is

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  10. The minimum value of |{:(1,1,1),(1,1+sinx,1),(1,1,1+cosx):}| is

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  11. The value of |{:(1+a,b,c),(a,1+b,c),(a,b,1+c):}| is

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  12. If [(1,3,9),(1,x,x^(2)),(4,6,9)] is singular matrix then x =

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  13. If x+y+z=pi then the value of |{:(sin(x+y+z),sin(x+z),cosy),(-siny,0,t...

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  14. The value of |{:(1,1,1),(b+c,c+a,a+b),(b+c-a,c+a-b,a+b-c):}| is

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  15. If Delta(1)=|{:(Ax,x^(2),1),(By,y^(2),1),(Cz,z^(2),1):}|" and "Delta(2...

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  16. If |{:(a,b,aalpha-b),(b,c,balpha-c),(2,1,0):}|=0, then

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  17. If a,b,c are distinct real numbers and |{:(a,a^(2),a^(3)-1),(b,b^(2),b...

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  18. If a,b,c are distinct real numbers and |{:(a,a^(2),a^(4)-1),(b,b^(2)...

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  19. If alpha,beta,gamma are roots of the equation x^(3)+px+q=0 then the va...

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  20. If A is a non - singular matrix then

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