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The number of 2xx2 matrices that can be ...

The number of `2xx2` matrices that can be formed by using 1, 2,3,4 then repetitions are allowed is

A

24

B

128

C

64

D

256

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The correct Answer is:
D
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AAKASH SERIES-APPENDICES (REVISION EXERCISE)-ALGEBRA OF MATRICES
  1. If A=(1)/(3)[(1,2,2),(2,1,-2),(x,2,y)] and A A^(T)=I(3) then x+y=

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  2. If A=((cos^(2)alpha , cos alpha sin alpha),(cos alpha sin alpha, sin^(...

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  3. If A=[(cos theta, sin theta),(- sin theta, cos theta)] then lim(nto oo...

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  4. If A=[a(ij)](n xx n) and a(ij)=i(i+j) then trace of A =

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  5. The number of 2xx2 matrices that can be formed by using 1, 2,3,4 then...

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  6. If A=[a(ij)](n xx n) such that a(ij)=(i+j)^(2) then trace of A is

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  7. If A=[(cos alpha, -sinalpha),(sin alpha, cos alpha)], then A+A^(T)=I, ...

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  8. Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,...

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  9. If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to

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  10. For the matrix A=[(3,2),(1,1)], the vlaues of a and b such that A^(2)...

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  11. Matrix A has x rows aand x+4 columns and another matrix B has y rows a...

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  12. If A=[(0, x),(y, 0)] and A^(3)+A=O then

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  13. If omega is a complex cube root of unity and A=[(omega,0),(0, omega)]...

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  14. If A, B are two square matrices such that AB=B, BA=A and n in N then...

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  15. If A=[(1, 2, x),(3,-1,2)] and B=[(y),(x),(1)] be such that AB=[(6),(8)...

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  16. Let A and B be any two 3 xx 3 matrices. If A is symmetric and B is ske...

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  17. Let A and B be two symmetric matrices of order 3. Statement: 1: A(BA...

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  18. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

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  19. If A=((1, 2,2),(2,1,-2),(a,2,b)) is a matrix satisfying the equatio...

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  20. If A=((0, -1),(1, 0)) then which one of the following statements is ...

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