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Find the values of `x` and `y` from the following equation: `2[[x , 5], [7 , y-3]]+[[3 , -4],[1 , 2]]=[[7, 6],[ 15 , 14]]`

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Which of the given values of x and y make the following pair of matrices equal [[3x+7, 5],[y+1, 2-3x]], [[0, y-2],[8, 4]]

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V PUBLICATION-MATRICES-QUESTION BANK
  1. If A=[[8 ,0], [ 4 , -2],[ 3 , 6]] and B=[[2 , -2], [ 4 ,2], [ -5 , ...

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

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

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

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

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

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

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

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

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

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

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  12. If A =[[1, 2, -3],[ 5, 0, 2],[ 1, -1, 1]], B=[[3, -1, 2],[ ...

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  13. If A=[[2/3, 1,5/3],[1/3, 2/3, 4/3],[7/3, 2, 2/3]] and B=[[2/5, 3/5, 1]...

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  14. Simplify costheta[[costheta, sin theta],[-sintheta, costheta]]+sinthet...

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  15. Find X and Y, if i) X+Y=[[7, 0],[ 2, 5]] and X-Y=[[3 , 0],[ 0 , 3...

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  16. Find X, if Y=[[3 ,2],[ 1 , 4]] and 2 X+Y=[[1 , 0],[ -3, 2]]

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  17. Find x and y if 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]]

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  18. Solve the equation for x, y, z and t, if 2[[x, z],[ y, t]]+3[[1, -...

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  19. If x[[2],[3]]+y[[-1],[1]]=[[10],[5]] find the values of x and y.

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  20. Given 3[[x,y],[z,w]]=[[x,6],[-1,2w]]+[[4, x+y],[z+w, 3]] find the va...

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