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Find the values of `x, y,z ` from the following equations i) `[[4, 3 ], [x, 5]]=[[y , z], [1 , 5]]` ii) `[[x+y , 2] , [5+z, x y]]=[[6 , 2] , [5, 8]]` iii) `[[x+y+z], [x+z] , [y+z]]=[[9] , [5 ] ,[7]]`

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V PUBLICATION-MATRICES-QUESTION BANK
  1. Construct a 2 xx 2 matrix, A=[[a(ij)]], whose elements are given by: i...

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  2. Construct a 3 xx 4 matrix, whose elements are given by: i) a(i j)=1/2|...

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  3. Find the values of x, y,z from the following equations i) [[4, 3 ],...

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  4. Find the value of a,b and c from the following equations, [[a-b,2a...

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  5. A=[aij](mxxn) is a square matrix, if a) m=n b) m>n c) m< n d) none o...

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  6. Which of the given values of x and y make the following pair of matric...

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  7. The number of all possible matrices of order 3 xx 3 with each entry 0 ...

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  8. Given A=[[sqrt3 , 1 , -1], [2 , 3 , 0]]and B=[[[2 , sqrt5 , 1,]] , [[...

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  9. If A=[[1 , 2, 3],[ 2, 3 , 1]] and B=[[3, -1, 3],[ -1, 0, 2]], ...

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  10. If A=[[8 ,0], [ 4 , -2],[ 3 , 6]] and B=[[2 , -2], [ 4 ,2], [ -5 , ...

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  11. Find X and Y, if X+Y=[[5 , 2],[ 0, 9]] and X-Y=[[3, 6],[ 0 , -1]]

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  12. Find the values of x and y from the following equation: 2[[x , 5], [7 ...

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  13. Find A B, if A=[[6, 9],[ 2 , 3]] and B=[[2, 6 ,0 ],[ 7,9,8]]

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  14. If A=[[1 ,-2 , 3],[ -4, 2 ,5]]and B=[[2 , 3],[ 4, 5], [2 , 1]], the...

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  15. Find A B, if A=[[0, -1],[ 0 , 2]]and B=[[3 , 5],[ 0, 0]]

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  16. A=[[0 , 6 , 7 ],[ -6, 0 , 8 ],[ 7, -8, 0]], B=[[0, 1 ,1],[ 1 , 0...

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  17. If A=[[1 , 2 , 3],[ 3, -2 , 1],[ 4, 2 , 1]], then show that A^3-23...

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  18. Let A=[[2 , 4 ],[ 3, 2]], B=[[1, 3] ,[ -2 , 5]], C=[[-2 , 5 ],[ 3, ...

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  19. Compute the following: i)[[a, b],[ -b, a]]+[[a, b],[ b , a]]. i...

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  20. Compute the indicated products. i) [[a , b],[ -b , a]] [[a, -b],[ b...

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