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The value of |{:(sqrt(13 )+ sqrt(3), 2sq...

The value of `|{:(sqrt(13 )+ sqrt(3), 2sqrt(5),sqrt(5)),(sqrt(15) + sqrt(26),5,sqrt(10)),(3 + sqrt(65), sqrt(15),5):}|`

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The correct Answer is:
`-5sqrt(3)(5-sqrt(6))`
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Find the value of determinat |{:(sqrt(13)+sqrt(3),2sqrt(5),sqrt(5)),(sqrt(15)+sqrt(26),5,sqrt(10)),(3+sqrt(65),sqrt(15),5):}| .

The value of the determinant Delta=|(sqrt(13)+sqrt3,2sqrt5,sqrt5),(sqrt(15)+sqrt(26),5,sqrt(10)),(3+sqrt(65),sqrt(15),5)| is equal to

Find the value of determinant ,sqrt((13))+sqrt(3),2sqrt(5),sqrt(5)sqrt((15))+sqrt((26)),5,sqrt((10))3+sqrt((65)),sqrt((15)),5]|

sqrt(11)+sqrt(3),sqrt(20),sqrt(5)sqrt(15)+sqrt(22),sqrt(25),sqrt(10)3+sqrt(55),sqrt(15),sqrt(25)]|=

1/(sqrt(3)+sqrt(2))-2/(sqrt(5)-sqrt(3))-3/(sqrt(2)-sqrt(5))

5sqrt(5)+15sqrt(5) =?

Using the properties of detminants, evalulate. (i) |{:(,23,6,11),(,36,5,26),(,63,13,37):}| (ii) |{:(,sqrt13+sqrt3,2sqrt5,sqrt5),(,sqrt15+sqrt26,5,sqrt10),(,3+sqrt65,sqrt15,5):}|

(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))

(sqrt(3)-sqrt(5))(sqrt(3)+sqrt(5))/(sqrt(7)-2sqrt(5))

(sqrt(5)-sqrt(2))(sqrt(2)-sqrt(3)) (sqrt(5)-sqrt(3))^(2)

CBSE COMPLEMENTARY MATERIAL-MATRICES AND DETERMINANTS-FOUR MARK QUESTIONS
  1. If a != b != c, are value of x which satisfies the equation |(0,x -a...

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  2. a a+b a+2b 10. Using properties of determinants, show that |[a,a+b,a+2...

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  3. The value of |{:(sqrt(13 )+ sqrt(3), 2sqrt(5),sqrt(5)),(sqrt(15) + sqr...

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  4. If A=[(5,3),(12,7)], show that A^(2)-12A-I=0. Hence find A^(-1).

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  5. Find the matrix X so that X[(1,2),(5,3)]=[(5,10),(2,0)]

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  6. If A=|1 2 2 2 1 2 2 2 1|, verifty that A^2-4A-5I=0

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  7. Using elementary transformations find the inverse of the matrix A=[(...

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  8. If A=[(x,-2),(3,7)] and A^(-1)=[(7/34,1/17),((-3)/34,2/17)],then the v...

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  9. If A=[(2,-3),(0,1)], find B, such that 4A^(-1)+B=A^(2)

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  10. Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(...

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  11. Find A^2-5A+6I , if A=[2 0 1 2 1 3 1-1 0]

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  12. If A=[(1,-2,3),(0,-1,4),(-2,2,1)], find (A')^(-1)

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  13. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and ...

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  14. If A=[{:(0,-1,2),(4,3,-4):}] and B=[{:(4,0),(1,3),(2,6):}] then verify...

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  15. If A=[{:( 0,-x),(x,0):}].B[{:(0,1),(1,0):}] and x^(2)=-1 , then show ...

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  16. Prove that aI+bA+cA^(2)=A^(3), if A=[(0,1,0),(0,0,1),(a,b,c)]

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  17. If A=[[cos 2 theta, sin 2 theta],[-sin2theta, cos2theta]], find A^2

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  18. If A=[(1,-1),(2,1)], B=[(a,1),(b,-1)] and (A+B)^(2)=A^(2)+B^(2)+2AB, t...

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  19. If A=[(0,2b,c),(a,b,-c),(a,-b,c)], then find the value of a, b and c. ...

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  20. If A=[[a,b],[0,1]] then prove that A^n=[[a^n,(b(a^n-1))/(a-1)],[0,1]]

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