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Find x ,\ y ,\ z\ a n d\ t , if 2[x5 7y-...

Find `x ,\ y ,\ z\ a n d\ t` , if `2[x5 7y-3]+[3 4 1 2]=[7 14 15 14]`

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{:("Column A","The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + 7 is 4: 5", "Column B"),((x+14)/(y + 14),,5//6):}

The planes 2x + 5y + 3z = 0, x-y+4z = 2 and7y-5z + 4 = 0

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A=[8 0 4-2 3 6] and B=[2-2 4 2-5 1] , then find the matrix X of ord...

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  2. Find x ,\ y ,\ z\ a n d\ t , if 3[x y z t]=[x6-1 2t]+[4x+y z+t3]

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  3. Find x ,\ y ,\ z\ a n d\ t , if 2[x5 7y-3]+[3 4 1 2]=[7 14 15 14]

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  4. If X and Y are 2xx2 matrices, then solve the following matrix equat...

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  5. In a certain city there are 30 colleges. Each college has 15 peons,...

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  6. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and ...

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  7. Let A=[(1,-2),( 3, 3),( 2,-1)] and B=[(2 ,3, -1),( 2, 4, -5)] . Find A...

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  8. If A,B,C are matrices such that A=[x y z], B=[[a,h,g] , [h, b, f] , [g...

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  9. If A=[1-1 2 3],B=[2 1 1 0],p rov et h a t(A+B)^2!=A^2+2A B+B^2

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  10. If A=[1-1 2-1] , B=[a1b-1] and (A+B)^2=A^2+B^2 , then values of a and ...

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  11. If A=[[0,1],[-1,0]], find x\ a n d \ y such that (x I+y A)^2=A

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  12. If A=[alpha0 1 1]a n dB=[1 0 5 1], find the values of alpha for which ...

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  13. Let A-[2-1 3 4], B-[5 2 7 4], C-[2 5 3 8] . Find a matrix D such that ...

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  14. Find the value of x such that [1x1][1 3 2 2 5 1 15 3 2][1 2x]=0

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  15. If A= [[1 , 0],[ − 1, 7]] and I=[[1, 0],[ 0 ,1]] , then find k so that...

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  16. If [2-1 1 0-3 4]A=[-1-8-10 1-2-5 9 22 15],fin dAdot

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  17. Let f(x)=x^2-5x+6 then find f(A) when A=[[2,0,1] , [2,1,3] , [1, -1, 0...

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  18. If A=[3 1-1 2], show that A^2-5A+7I=0

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  19. Prove the following by principle of mathematical induction If A=[[3,-4...

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  20. If Aalpha=[[cosalpha ,sinalpha],[-sinalpha,cosalpha]] , then prove tha...

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