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If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U...

If `A= ((1,0,0),(2,1,0),(3,2,1)), U_(1), U_(2), and U_(3)` are column matrices
satisfying `AU_(1) =((1),(0),(0)), AU_(2) = ((2),(3),(0))and AU_(3) = ((2),(3),(1))` and
`U` is `3xx3` matrix when columns are`U_(1), U_(2), U_(3)` then
answer the following questions
The value of [3 2 0] `I((3),(2),(0))` is

A

5

B

`5//2`

C

4

D

13

Text Solution

Verified by Experts

The correct Answer is:
A
The value of
`((3,2,0))U((3),(2),(0))= ((3,2,0))((1,2,2),(-2,-1,-1),(1,-6,-3))((3),(2),(0))`
`((-1,4,4))((3),(2),(0))`
`=(-3+8+0)=5`
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ARIHANT MATHS-MATRICES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let {:A=[(1,0,0),(2,1,0),(3,2,1)]:}and U1,U2,U3 be column matrices sat...

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  2. Let A = [(1,0,0), (2,1,0), (3,2,1)], and U1, U2 and U3 are columns of ...

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  3. If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U(2), and U(3) are column matri...

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  4. Let A=[{:(1,2),(3,4):}]and B = [{:(a,0),(0,b):}] where a, b are natura...

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  5. If A and B are square matrices of size nxxn such that A^2-B^2 = (A-B)(...

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  6. Let A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] . If |A^2|...

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  7. Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "...

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  8. Let A be a square matrix all of whose entries are integers. Then wh...

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  9. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identi...

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  10. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

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  11. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

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  12. The number of 3xx3 matrices A whose are ether 0 or 1 and for which t...

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  13. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

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  14. The number of 3xx3 matrices a whose entries are either 0 or 1 and for ...

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  15. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

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  16. Let p be an odd prime number and T(P) be the following set of 2xx2 m...

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  17. Let p be an odd prime number and T(P) be the following set of 2xx2 m...

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

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

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  20. Let a be a 2xx2 matrix with non-zero entries and let A^(2)=I, where I ...

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