Home
Class 12
MATHS
If A=[{:(8,0),(4,-2),(3,6):}]andB=[{:(2,...

If `A=[{:(8,0),(4,-2),(3,6):}]andB=[{:(2,-2),(4,2),(-5,1):}]`,thenfind the matrix X , such that 2A+3X=5B.

Text Solution

Verified by Experts

The correct Answer is:
`rArrX=[{:(-2,-(10)/(3)),(4,(14)/(3)),(-(31)/(3),-(7)/(3)):}]`, which is the required matrix X.
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE (Part I Matrix and Its Types ) Very Short Answer Type Questions |21 Videos

  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE (Part I Matrix and Its Types ) Short Answer Type Questions |7 Videos

  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

Similar Questions

Explore conceptually related problems

If 3A-B=[{:(5,0),(1,1):}] and B=[{:(4,3),(2,5):}] then find the matrix A.

If X=[{:(3,1,-1),(5,-2,-3):}]andY=[{:(2,1,-1),(7,2,4):}] , then find matrix Z, such that X+Y +Z is a zero matrix.

If A=[{:(2,4),(3,2):}]andB=[{:(1,3),(-2,5):}] , then find A-B.

If A=[{:(2,0),(1,4):}]andB=[{:(-1,2),(3,0):}] , then find (AB).

If A=[{:(2,4,0),(3,9,6):}]andB=[{:(1,4),(2,8),(1,3):}] then verify that (AB)'=B'A'.

If A=[{:(3,sqrt(3),2),(4,2,0):}]andB=[{:(2,-1,2),(1,2,4):}] , then verify that (A')'=A

Let A=[{:(2,-1),(3,4):}],B=[{:(5,2),(7,4):}]andC=[{:(2,5),(3,8):}] . Find a matrix D such that CD -AB =O .

If A=[{:(2,2),(-3,1),(4,0):}],B=[{:(6,2),(1,3),(0,4):}]andC=[{:(-8,-4),(2,-4),(-4,-4):}] , then find the additive inverse of matrix A.

If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then verify that (AB)^(T)=B^(T)A^(T) .

ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. If A=[{:(8,0),(4,-2),(3,6):}]andB=[{:(2,-2),(4,2),(-5,1):}],thenfind t...

    Text Solution

    |

  2. What possible orders of a matrix can have , if it has (i) 5 elemen...

    Text Solution

    |

  3. Construct 2xx2 matrix , A=[a(ij)] whose elements are given by a(ij)=...

    Text Solution

    |

  4. Find the number of all possible matrices of order 3xx3 with each of ...

    Text Solution

    |

  5. If A = [ {:(cos alpha, - sin alpha),(sin alpha, cos alpha):}], then fo...

    Text Solution

    |

  6. If [{:(x+3,z+4,2y-7),(-6,a-1,0),(b-3,-21,0):}]=[{:(0,6,3y-2),(-6,-3,2c...

    Text Solution

    |

  7. If Possible , then find the sum of the matrices A and B , where A=[{:(...

    Text Solution

    |

  8. Simplify[{:(cos^(2)x,sin^(2)x),(sin^(2)x,cos^(2)x):}]+[{:(sin^(2)x,cos...

    Text Solution

    |

  9. Find the value of y and x from the following equation 2[{:(x,5),(7,y-...

    Text Solution

    |

  10. Find non - zero values of x satisfying the matrix equation x[{:(2x,...

    Text Solution

    |

  11. Solve for x and y , x [{:(2),(1):}]+y[{:(3),(5):}]=[{:(-8),(-11):}]

    Text Solution

    |

  12. If A=[{:(2,4),(3,2):}]andB=[{:(1,3),(-2,5):}], then find A-B.

    Text Solution

    |

  13. If [{:(9,-1,4),(-2,1,3),(1,2,-1):}]=A+[{:(1,2,-1),(0,4,9),(3,1,-2):}] ...

    Text Solution

    |

  14. Assume Y, W and P are the matrices of orders 3xxk,nxx3andpxxk .Find t...

    Text Solution

    |

  15. Let A=[a(ij)](nxxn) be a diagonal matrix whose diagonal elements are...

    Text Solution

    |

  16. Suppose A=[{:(5,4),(2,3):}]andB=[{:(3,5,1),(6,8,4):}] , then find AB a...

    Text Solution

    |

  17. Find x from the matrix equation [{:(1,3),(4,5):}][{:(x),(2):}]=[{:(5)...

    Text Solution

    |

  18. If matrix A=[{:(1,-1),(-1,1):}]andA^(2)=kA , then write the value of k...

    Text Solution

    |

  19. Show by an example that for AneO,BneOandAB=O.

    Text Solution

    |

  20. If A=[{:(1,2),(3,4):}]then find A+A .

    Text Solution

    |

  21. If A=[{:(0,-1,2),(4,3,-4):}]andB=[{:(4,0),(1,3),(2,6):}] then verify t...

    Text Solution

    |