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Solve the equation for x, y, z and t, if...

Solve the equation for x, y, z and t, if `2[[x ,z ],[y ,t]]+3[[1,-1 ],[0 ,2]]=3[[3 ,5 ],[4 ,6]]`

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To solve the equation for \( x, y, z, \) and \( t \) given by \[ 2 \begin{bmatrix} x & z \\ y & t \end{bmatrix} + 3 \begin{bmatrix} 1 & -1 \\ 0 & 2 \end{bmatrix} = 3 \begin{bmatrix} 3 & 5 \\ 4 & 6 \end{bmatrix}, \] we will follow these steps: ...
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NCERT ENGLISH-MATRICES-All Questions
  1. If A=[[1, 0 ,2 ],[0 ,2 ,1],[2, 0 ,3]], prove that A^3-6A^2+7A+2I=0

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

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

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  4. If F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[ 0, 0, 1]], show that F(x) F(y)...

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

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  6. A trust fund has Rs 30,000 that must be invested in two different typ...

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  7. If A=[ [0,-tan((alpha)/2)],[tan(alpha/2),0]] then (I-A)[[cosalpha,-...

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  8. Using elementary transformations, find the inverse of the matrix[[2,-...

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  9. Using elementary transformations, find the inverse of the matrix[[6,-...

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  10. Using elementary transformations, find the inverse of each of the mat...

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  11. Using elementary transformations, find the inverse of the matrix[[3,-...

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  12. Using elementary transformations, find the inverse of the matrix[[2, ...

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  13. Using elementary transformations, find the inverse of the matrix[[1, ...

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  14. Using elementary transformations, find the inverse of the matrix[[2,-...

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  15. Using elementary transformations, find the inverse of the matrix[[2 ,...

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  16. Matrices A and B will be inverse of each other only if (A) A B=B A(...

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  17. Simplify costheta[[costheta,sintheta],[sintheta,costheta]]+sintheta[[s...

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

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  19. If A=[[1 ,2,-3],[ 5, 0, 2],[ 1,-1, 1]], B=[[3,-1, 2],[ 4, 2 ,5],[ 2, 0...

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

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