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If A=[(alpha,beta),(gamma,-alpha)] is su...

If `A=[(alpha,beta),(gamma,-alpha)]` is such that `A^(2)=I`, then

a. 1 + `alpha^(2) + β γ = 0`
b. 1 − `alpha^(2) + β γ = 0`
c. 1 − `alpha^(2) − β γ = 0`
d. 1 + `alpha^(2) − β γ = 0`

A

`1+alpha^(2)+beta gamma=0`

B

`1-alpha^(2)+beta gamma=0`

C

`1-alpha^(2)-beta gamma=0`

D

`1+alpha^(2)-beta gamma=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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ACCURATE PUBLICATION-MATRICES-QUESTIONS CARRYING 1 MARK (Type-I : (Multiple choice questions))
  1. If A = [(1,2,3)] , B = [(2),(3),(1)], then AB equals

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  2. If A = [(2,1,3)] , B = [(3),(2),(1)] then AB equals

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  3. If A=[(alpha,beta),(gamma,-alpha)] is such that A^(2)=I, then a. 1 ...

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  4. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

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  5. The matrix A = [(0,-1),(1,0)] is a (a) identity matrix (b) Diagonal m...

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  6. The matrix A = [(0,-1),(1,0)] is a (a) identity matrix (b) Diagonal m...

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  7. If A is any square matrix then A + A' is a :

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  8. If A, B are symmetric matrices of same order, then AB - BA is a :

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  9. If A is a matrix of order 5xx2 and B is a matrix of order 2xx5, then t...

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  10. If A is a matrix of order 3xx2 and B is a matrix of order 2xx3, then t...

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  11. If order of matrix A is 2 xx 3 and order of matrix B is 3 xx 5, then o...

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  12. If order of matrix A is 4 xx 3 and order of matrix B is 3 xx 5, then o...

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  13. If the matrix A is both symmetric and skew symmetric, then :

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  14. If A = [[1 2 3 ]], then AA' is equal to :

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  15. Choose the correct option in the question : If A = {:((3,2,1)):} the...

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  16. If A and B are two invertible matrices, then the inverse of AB is equa...

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  17. If A and B are square matrices of the same order, then (A+B) (A-B) is ...

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  18. If A=[{:(2,-1,3),(-4,5,1):}] and B=[{:(2,3),(4,-2),(1,5):}] , then

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  19. The matrix {:[(0,0,5),(0,5,0),(5,0,0)] is a scalar matrix. State true ...

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  20. If A and B are symmetric matrices of same order then AB - BA is a :

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