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If A = ([2,1],[1,2]), then A (Adj A) equ...

If `A = ([2,1],[1,2])`, then `A (Adj A)` equals :

A

`[{:(3,0),(0,3):}]`

B

`[{:(0,3),(3,0):}]`

C

`[{:(1,3),(3,1):}]`

D

`[{:(3,1),(1,3):}]`

Text Solution

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The correct Answer is:
D
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ACCURATE PUBLICATION-DETERMINANTS-Type-I (Multiple choice questions)
  1. If A is a matrix of order 3xx3 and abs (A) = 10 then abs (adj. A) is

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  2. If A is a square matrix of order 3xx3 and abs(A) = 5 then abs (Adj. A)...

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  3. If A = ([2,1],[1,2]), then A (Adj A) equals :

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  4. If A=[{:(3,1),(1,2):}], then A(adjA) equals

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  5. If A = ([4,3],[3,4]), then A (Adj A) equals :

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  6. If A=[(3,2),(1,4)] , then A(adj A) equals

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  7. The inverse of a symmetric matrix is :

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  8. Prove that |[1,x,x^2-yz],[1,y,y^2-zx],[1,z,z^2-xy]|= 0

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  9. If x,y in R then the determinant Delta=|{:(cosx,-sinx,1),(sinx,cosx,1)...

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  10. If |(2x,5),(8,x)|=|(6,-2),(7,3)| , write the value of x.

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

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  12. The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. u...

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  13. The determinant |{:(b^(2)-ab,b-c,bc-ac),(ab-a^(2),a-b,b^(2)-ab),(bc-ca...

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  14. The number of distinct real roots of |{:(sinx,cosx,cosx),(cosx,sinx,co...

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  15. If A,B and C are angles of a triangle, then the determinant: {:|(-1,...

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  16. Let f(t)=|{:(cost,t,1),(2sint,t,2t),(sint,t,t):}|, then LT(t to o)(f(t...

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  17. Find the maximum value of : {:|(1,1,1),(1,1+sintheta,1),(1,1,1+costh...

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  18. Consider the determinant f(x)=|{:(0,x^(2)-a,x^(3)-b),(x^(2)+a,0,x^(2...

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  19. If A=[{:(2,lambda,-3),(0,2,5),(1,1,3):}| , then A^(-1) exists if

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  20. If A and B are invertibel , then which of the following is not correct

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