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Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and 10...

Let `A=[(1,-1,1),(2,1,-3),(1,1,1)]` and `10 B=[(4,2,2),(-5,0,alpha),(1,-2,3)]`.
If B is the inverse of A, then find the value `alpha`.

A

`-2`

B

1

C

2

D

5

Text Solution

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The correct Answer is:
D
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
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  2. Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then only correct statement about t...

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

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  4. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

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  5. If A=[{:(a,b),(b,a):}] and A^(2)=[{:(alpha, beta),(beta, alpha):}] the...

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  6. If omega is a non-real cube root of unity and n is not a multiple o...

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  9. If A is a symmetric matrix and B is a skew-symmetric matrix such that ...

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  10. The total number of matrices A = [{:(0, 2y, 1), (2x, y, -1), (2x, -y,...

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  11. Let A={:(cosalpha,-sinalpha),(sinalpha,cosalpha):},(ainR) such that A...

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  12. Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...

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  13. Let A = ((0,2q,r),(p,q,-r),(p,-q,r)). If A A^(T) = I(3), then |p| is

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  14. The value of theta lying between 0 and pi/2 and satisfying the equatio...

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  15. The sum of the real roots of the equation |{:(x, -6, -1), (2, -3x, x...

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  16. If Delta(1) =|{:(x, sin theta, cos theta),(-sin theta, -x, 1),(cos the...

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  17. If [{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):}]*[{:(1, 3), (0,1):}]cdotcdot...

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  18. Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0. ...

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  19. If |(1,1,1),(2,b,c),(4,b^(2),c^(2))| and |A| = in [2, 16]. 2, b, c and...

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  20. If A = [(1,sin theta, 1),(-sintheta, 1, sin theta),(-1, -1sin theta, 1...

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