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A 2 xx 3 matrix A = [ a(ij)], whose ele...

`A 2 xx 3 ` matrix `A = [ a_(ij)]`, whose elements are given by `a_(ij) = ((1 + 2 j)^(2))/(2)` is

A

`[(2,4,5),(7,8,9)]`

B

`[((9)/(2),(25)/(2),(49)/(2)),(8,18,32)]`

C

`[((9)/(2),8),((25)/(2),18),((49)/(2),32)]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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CENGAGE-MATRICES-Test yourself (Level 3) Multiple choice questions
  1. Which of the following is a diagonal matrix ?

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  2. What is the value of trace of the following matrix ? A = [(2,3,4),(7...

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  3. A 2 xx 3 matrix A = [ a(ij)], whose elements are given by a(ij) = ((1...

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  4. Which of the following is represented by c = diag (3,5,7)?

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  5. Transpose of the matrix A = [(2,3,4),(5,6,7)](2xx3) is

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  6. if [(2 alpha + 1, 3 beta),(0,beta^(2)- 5 beta)]= [(alpha + 3, beta^(2)...

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  7. Given =A [(1,3,5),(-2,0,-2),(0,4,-3)]B = [(0,3),(-2,0),(0,4)]C = [(4,...

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  8. If A = [(0,2),(3,-4)] and kA = [(0,3a),(2b,24)] then find the value of...

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  9. Given A = [(1,2,-3),(5,0,2),(1,-1,1)] and B - [(3,-1,2),(4,2,5),(2,0,...

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  10. The value of x and y for the equation 2 x - y = [(3,-3,0),(3,3,2)]...

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  11. If A = [(0,1,2),(1,2,3),(2,3,4)] and B = [(1,-2),(-1,0),(2,-1)] then ...

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  12. If A = [(0,1,I2),(1,2,3),(2,3,4)] and B = [(1,-2),(-1,0),(2,-1)] , the...

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  13. If A = [(1,2),(-2,3)] , B = [(2,1),(2,3)]C = [(-3,1),(2,0)] , then w...

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  14. If A = [(alpha,2),(2 , alpha)] and det (A) = 0 then the value of alph...

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

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  16. If A = [(1,2),(2,3)] and A ^(2) + lambda A - I(2) = 0 " then " lambd...

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  17. If A [ (cos theta, sin theta),(-sin theta, cos theta)], " then " A^(2)...

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  18. If a, b, b, c and c, a are the roots of x^(2) - 4x + 3 = 0 , x^(2) - 8...

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  19. If a = [(cos theta , - sin theta),(sin theta , cos theta)] , what is ...

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  20. Which of the following matrices is non - singular ?

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