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The number of 3xx3 matrices A whose entr...

The number of `3xx3` matrices `A` whose entries are either `0or1` and for which the system `A[x y z]=[1 0 0]` has exactly two distinct solution is a. 0 b. `2^9-1` c. `168` d. `2`

A

o

B

`2^(9) -1`

C

168

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Three planes cannot meet only at two distinect points.
Hence. Number of matrices = 0
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ARIHANT MATHS-MATRICES -Exercise (Questions Asked In Previous 13 Years Exam)
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  2. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

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  3. The number of 3xx3 matrices A whose entries are either 0or1 and for wh...

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  4. Let p be an odd prime number and Tp be the following set of 2 x 2 ma...

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  5. Let p be an odd prime number and Tp, be the following set of 2 xx 2 ma...

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  6. Let p be an odd prime number and Tp be the following set of 2 x 2 ma...

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  7. Let K be a positive real number and A=[2k-1 2sqrt(k)2sqrt(k)2sqrt(k)1-...

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  8. The number of 3 3 non-singular matrices, with four entries as 1 and ...

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  9. Let A be a 2 xx 2 matrix with non-zero entries and let A^2=I, where i ...

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  10. Let Ma n dN be two 3xx3 non singular skew-symmetric matrices such that...

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  11. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

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  12. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

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  13. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

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  14. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  15. Let M be a 3xx3 matrix satisfying M[0 1 0]=M[1-1 0]=[1 1-1],a n dM[1 1...

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  16. Let A and B are symmetric matrices of order 3. Statement -1 A (BA) a...

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  17. Let P = [a(ij)] " be a " 3 xx 3 matrix and let Q = [b(ij)], " where " ...

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  18. If P is a 3xx3 matrix such that P^T = 2P+I, where P^T is the transpose...

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  19. If the adjoint of a 3 3 matrix P is 1 4 4 2 1 7 1 1 3 , then the po...

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