Home
Class 12
MATHS
Given 3[[x, y],[ z, w]]=[[x,6],[-1, 2w]]...

Given `3[[x, y],[ z, w]]=[[x,6],[-1, 2w]]+[[4,x+y],[ z+w,3]]`, find the values of x, y, z and w.

Text Solution

AI Generated Solution

To solve the equation given in the question, we will follow these steps: ### Step 1: Write the equation We start with the equation: \[ 3 \begin{bmatrix} x & y \\ z & w \end{bmatrix} = \begin{bmatrix} x & 6 \\ -1 & 2w \end{bmatrix} + \begin{bmatrix} 4 & x+y \\ z+w & 3 \end{bmatrix} \] ### Step 2: Simplify the left-hand side Multiply the matrix on the left-hand side by 3: ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT ENGLISH|Exercise EXERCISE 12.2|11 Videos
  • PROBABILITY

    NCERT ENGLISH|Exercise EXERCISE 13.2|18 Videos

Similar Questions

Explore conceptually related problems

Given 3[x y z w]-[x6-1 2w]+[4x+y z+w3] , find the values of x, y, z and w.

If [x y4z+6x+y]=[8w0 6] , then find the values of x ,\ y ,\ z\ a n d\ w .

If [[xy, 4],[z+6, x+y]]=[[8, w],[0, 6]], write the value of (x+y+z)dot

If: [(xy,5x) , (z+6,y^2+1)]=[(8,w),(0,6)], then find the values of x , y , z and w

If [{:(xy,4),(z+6,x+y):}]=[{:(8,w),(0,6):}] , then find the values of x,y,z and w.

If [[x-y, z], [2x-y,omega]]=[[-1, 2], [4, 7]],then x , y , z ,omegadot is?

If [[x-y, 2x+z],[2x-y,3z+omega]] =[[-1,5],[0,13]] find x+y+z+omega

[[ x-y,2x+z] , [ 2x-y,3z+w ]] = [[ -1, 5 ] , [ 0, 13 ]], then ,x,y,z,w is?

If [{:(x+3,2y+x),(z-1,4w-8):}]=[{:(-x-1,0),(" "3,2w):}], then find the value of |x+y|+|z+w|.

If [(x y,4),(z+6,x+y)]=[(8,w),(0, 6)] , write the value of (x+y+z) .

NCERT ENGLISH-MATRICES-All Questions
  1. Solve the equation for x, y, z and t, if 2[[x ,z ],[y ,t]]+3[[1,-1 ],[...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Compute the following:(i) [[a, b],[-b, a]]+[[a, b],[b ,a]] (ii) [[a^2...

    Text Solution

    |

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

    Text Solution

    |