Home
Class 12
MATHS
Let A=[[2 ,4],[ 3 ,2]], B=[[1 ,3],[-2, 5...

Let `A=[[2 ,4],[ 3 ,2]], B=[[1 ,3],[-2, 5]], C=[[-2, 5],[ 3, 4]]`Find each of the following:(i) `A + B` (ii) `A-B` (iii) `3A-C` (iv) `AB` (v) `BA`

Text Solution

AI Generated Solution

Let's solve the problem step by step. Given matrices: - \( A = \begin{bmatrix} 2 & 4 \\ 3 & 2 \end{bmatrix} \) - \( B = \begin{bmatrix} 1 & 3 \\ -2 & 5 \end{bmatrix} \) - \( C = \begin{bmatrix} -2 & 5 \\ 3 & 4 \end{bmatrix} \) ### (i) Finding \( A + B \) ...
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

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

Let A= [[2,4],[3,2]], B=[[1,3],[-2,5]], C=[[-2,5],[3,4]] find A+B+C

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

Let A=[[2,4],[3,2]] , B=[[1 ,3],[-2 ,5]], C=[[-2,5],[3,4]] ,FIND: 3A-2B+3C

If A={1,2,3,4},B={2,3,4,5} and C={4,5,6,7} , then find each of the following : (i) A - (B-C) (ii) (A- B) -C .

If A{1,2,3},B={3,4}and C={4,5,6} , then find the each of the following : (i) A cap(B cupC) (ii) (A-B)cupC (iii) (A cupB)-C (iv) (A cap B)cup C .

If A = {1,2,3,4},B={2,4,6,8} and C={3,4,5,6} , then find each of the following , (i) (A - B) cap C (ii) (A cap B) -C (iii) A- (B-C) (iv) A cup (B - C) .

If A={1,2,3,4},B={3,4,5},C={1,5,6} , then findof the following : (i) A cup B (ii) A cup (B cap C) (ii) A - B (iv) A - (B cup C) .

If A ={1,2,3}, B={3,4} and C={4,5,6}, then find each of the following : (i) Axx(B nn C) " "(ii) (AxxB) nn (AxxC) (iii) Axx(B uu C) " "(iv) (AxxB) uu (AxxC)

Evaluate each of the following (i) 5^2 x 5^4 (ii) 5^8 divide 5^3 (iii) (3^2)^3 (iv) (11/12)^3 (v) (3/4)^-3

NCERT ENGLISH-MATRICES-All Questions
  1. Using elementary transformations, find the inverse of the matrix[[2 ,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Find the value of a, b, c and d from the equation:[[a-b,2a+c],[2a-b,3c...

    Text Solution

    |

  13. Find the values of x, y and z from the following equations:(i) [[4, 3...

    Text Solution

    |

  14. Construct a 3 xx 4matrix, whose elements are given by:(i) a(i j)=1/2|...

    Text Solution

    |

  15. Construct a 2 xx2matrix, A =[a(i j)], whose elements are given by:(i) ...

    Text Solution

    |

  16. If a matrix has 18 elements, what are the possible orders it can have...

    Text Solution

    |

  17. If a matrix has 24 elements, what are the possible orders it can have...

    Text Solution

    |

  18. In the matrix A=[[2,5,19,7],[35,-2,5/2,12],[sqrt3,1,-5,17]], write: (i...

    Text Solution

    |

  19. Which of the given values of x and y make the following pair of matri...

    Text Solution

    |

  20. A =([a(i j)])(mxxn)is a square matrix, if (a) m < n (b) m > n (c) m =...

    Text Solution

    |