Home
Class 12
MATHS
If A=[(1,2),(3,4),(5,6)] and B=[(-3,-2),...

If `A=[(1,2),(3,4),(5,6)]` and `B=[(-3,-2),(1,-5),(4,3)]`, then find `D=[(p,q),(r,s),(t,u)]` such that `A+B-D=O`.

Text Solution

AI Generated Solution

To solve the problem, we need to find the matrix \( D \) such that \( A + B - D = O \), where \( O \) is the zero matrix. We will follow these steps: ### Step 1: Define the matrices We have: \[ A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{pmatrix}, \quad B = \begin{pmatrix} -3 & -2 \\ 1 & -5 \\ 4 & 3 \end{pmatrix} \] ...
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    CENGAGE|Exercise Exercise 13.1|5 Videos
  • MATRICES

    CENGAGE|Exercise Exercise 13.2|6 Videos
  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos
  • METHODS OF DIFFERENTIATION

    CENGAGE|Exercise Single Correct Answer Type|46 Videos

Similar Questions

Explore conceptually related problems

if A=[{:(1,2,-5),(-3,4,6):}]and B[{:(-2,3,-4),(1,2,3):}]' then find 2A+B.

Find 3A-2b, A=[(1,6,2),(4,3,-5)], B=[(2,9,-6),(4,-5,3)]

If P (1,-3), Q ( 2,-5), R ( -4,7) then find d(P,Q) d(P,R)

If P=(1,2,3,4,5,6,7) and Q=(2,5,8,9) , then find P-Q.

If A=[(1,4),(3,2),(2,5)], B=[(-1,-2),(0,5),(3,1)] , find the matrix D such that A+B-D=0 .

If A={:[(6,-7,1),(3,-2,1)]:}andB={:[(5,1,2),(-4,3,-5)]:} then find X such that 2A-B+X=O.

If A={:[(2,3,5,6),(-1,2,-3,4)]:}andB={:[(4,-5,3,7),(8,-3,-1,2)]:} , then find A^(T)+B^(T)and(A+B)^(T) . What do you notice ?

If A={:[(p,2),(-4,-5)]:},B={:[(q,r-s),(r,-5)]:}" and A=B. Find"{:[(p,q),(r,s)]:} , if the trace of A+B=-2.

If A=[{:(-2," "3),(" "4," "5),(" "1," "-6):}]" and "B=[{:(" "5," "2),(-7," "3),(" "6," "4):}] , find a matrix C such that A+B-C=O.

CENGAGE-MATRICES-Solved Examples And Exercises
  1. If A=[(1,2),(3,4),(5,6)] and B=[(-3,-2),(1,-5),(4,3)], then find D=[(p...

    Text Solution

    |

  2. In which of the following type of matrix inverse does not exist always...

    Text Solution

    |

  3. If both A-1/2Ia n dA+1/2 are orthogonal matices, then (a)A is ortho...

    Text Solution

    |

  4. If nth-order square matrix A is a orthogonal, then |adj(adjA)| is (...

    Text Solution

    |

  5. If P is an orthogonal matrix and Q=P A P^T an dx=P^T Q^1000 P then x^...

    Text Solution

    |

  6. If A is a nilpotent matrix of index 2, then for any positive integer n...

    Text Solution

    |

  7. If Aa n dB are two matrices such that A B=Ba n dB A=A ,t h e n (A^5-B...

    Text Solution

    |

  8. If Z is an idempotent matrix, then (I+Z)^n I+2^n Z b. I+(2^n-1)Z c. ...

    Text Solution

    |

  9. If A is an orthogonal matrix then A^(-1) equals A^T b. A c. A^2 d. non...

    Text Solution

    |

  10. If A^2=1, then the value of det(A-I) is (where A has order 3) 1 b. -1 ...

    Text Solution

    |

  11. Let A be an nth-order square matrix and B be its adjoint, then |A B+K ...

    Text Solution

    |

  12. A=[(a,1,0),(1,b,d),(1,b,c)],B=[(a,1,1),(0,d,c),(f,g,h)],U=[(f),(g),(h)...

    Text Solution

    |

  13. If M is a 3 xx 3 matrix, where det M=1 and MM^T=1, where I is an ident...

    Text Solution

    |

  14. If A is a diagonal matrix of order 3xx3 is commutative with every squa...

    Text Solution

    |

  15. Let S be the set which contains all possible vaues fo I ,m ,n ,p ,q ,r...

    Text Solution

    |

  16. Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positiv...

    Text Solution

    |

  17. If A is a square matrix of order 3 such that |A|=2,t h e n|(a d jA^(-1...

    Text Solution

    |

  18. Let A=[[3x^2], [1], [6x]],B=[a,b,c]and C=[[(x+2)^2, 5x^2, 2x],[5x^2, 2...

    Text Solution

    |

  19. If A is an idempotent matrix satisfying, (I-0. 4 A)^(-1)=I-alphaA ,w h...

    Text Solution

    |

  20. Let A=([a(i j)])(3xx3) be a matrix such that AA^T=4Ia n da(i j)+2c(i j...

    Text Solution

    |

  21. Let A be the set of all 3xx3 skew-symmetri matrices whose entries are ...

    Text Solution

    |