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Suppose ABC is a triangle with sides a,b...

Suppose ABC is a triangle with sides a,b ,c and semiperimeter s. Then matric
`A[(s,s-c),(s(s-b)^(2),(s-a)^(2)(s-c)),(s(s-c),(s-a)^(2))]_(3xx2)[(s-a),(s-b)]_(2xx1)`
`-[(bc),(ca(s-a)(s-b)),(ab(s-a))]_(3xx1)`

A

`[(a),(b),(c)]`

B

`[(0),(0),(0)]`

C

`[(s),(s),(s)]`

D

`[(s-a),(s-b),(s-c)]`

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
  1. Let a(n)=3^(n)+5^(n), nin N and let A=((a(n),a(n+1),a(n+2)),(a(n+1)...

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  2. First row of a matrix A is [1,3,2]. If adj A=[(-2,4,alpha),(-1,2,1),...

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  3. Suppose ABC is a triangle with sides a,b ,c and semiperimeter s. Then ...

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  4. The number of matrices A = [(a,b),(c,d)] ( where a,b,c,din R ) such...

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  5. Let A be a 3xx3 matrix with entries from the set of numbers, If the sy...

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  6. A=[{:(a,b),(b,-a):}] and MA=A^(2m), m in N for some matrix M, then whi...

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  7. Let A=[(a,b),(c,d)]be a 2 xx 2 matrix, where a, b, c, d take value 0 t...

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  8. Find the inverse of each of the matrices given below : Let D= "dia...

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  9. The inverse of a symmetric matrix ( if it exists ) is

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  10. Prove that inverse of a skew-symmetric matrix (if it exists) is skew-s...

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  11. The inverse of a skew symmetric matrix of odd order is a symmetric mat...

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  12. If A is an orthogonal matrix, then

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  13. If A = [(1,0,2),(5,1,x),(1,1,1)] is a singular matrix then x is equal ...

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  14. Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(...

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  15. If a matrix A is such that 3A^3 +2A^2+5A+I= 0, then A^(-1) is equal to

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  16. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

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  17. If A, B, and C are three square matrices of the same order, then AB=AC...

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  18. If the product of the matrix B=[(2,6,4),(1,0,1),(-1,1,-1)] with a m...

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  19. If omega is a complex cube root of unity then the matrix A = [(1, omeg...

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  20. [{:(,0,1,2),(,1,2,3),(,3,a,1):}],=A^(-1)=[{:(,1//2,-1//2,1//2),(,-4,3,...

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