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Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[...

Let `P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q_(ij)]` and `Q=P^5+I_3` then `(q_21+q_31)/q_32` is equal to (A) `12` (B) `8` (C) `10` (D) `20`

A

10

B

135

C

9

D

15

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A
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
  1. The total number of matrices A = [{:(0, 2y, 1), (2x, y, -1), (2x, -y,...

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

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

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

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

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

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

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

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

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  12. |(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)|

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  13. Let a(1),a(2),a(3), …, a(10) be in G.P. with a(i) gt 0 for i=1, 2, …, ...

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  14. Let A=[(2,b,1),(b,b^(2)+1,b),(1,b,2)] where b gt 0. Then the minimum v...

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  15. Let d in R, and A[{:(,-2,4+d,(sin theta-2)),(,1,(sin theta)+2,d),(,5,(...

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  16. If B = [{:(5, 2alpha, 1),(0, 2, 1),(alpha, 3, -1):}] is the inver...

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  17. Matrix=[[e^t,e^-t(sint-2cost),e^-t(-2sint-cost)],[e^t,-e^-t(2sint+cost...

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  18. Let A and B be two invertible matrices of order 3xx3. If det. (ABA^(T)...

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  19. If A = [(costheta,-sintheta),(sintheta,costheta)], then the matrix A^(...

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  20. If [x] denotes the greatest integer le x, then the system of liner equ...

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