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

If `A=[{:(1,2),(4,1),(5,6):}]` and `B=[{:(1,2),(6,4),(7,3):}]`, then varify that (i) (A-B)'=A'-B'

Text Solution

AI Generated Solution

To verify that \((A - B)' = A' - B'\) for the given matrices \(A\) and \(B\), we will follow these steps: ### Step 1: Define the matrices Given: \[ A = \begin{pmatrix} 1 & 2 \\ 4 & 1 \\ ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT EXEMPLAR ENGLISH|Exercise TRUE/FALSE|2 Videos

  • PROBABILITY

    NCERT EXEMPLAR ENGLISH|Exercise True/False|9 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(2,-1,3),(4,5,-6):}] and B=[{:(1,2),(3,4),(5,-6):}] then

If A=[{:(0,-1,2),(4,3,-4):}] and B=[{:(4,0),(1,3),(2,6):}] then verify that (i) (A')'=A (ii) (AB)'=B'A'

if A=[{:(2,1,3),(1,-1,2),(4,1,5):}]and B=[{:(1,-1,2),(2,1,5),(4,1,3):}], then show that : (i) (A+B)'=A'+B' (ii) (A+4B)'=A'+4B'

if A=[{:(1,2,3),(4,5,6):}]and B=[{:(-3,-2),(0,1),(-4,-5):}], then find AB and BA ,

if A=[{:(-1,2,,3),(5,7,9),(-2,1,1):}]and B=[{:(-4,1,-5),(1,2,0),(1,3,1):}], then verify that (I) (A+B)'=A'+B',(ii) (A-b)'=A'=B'

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

Given A=[{:(2,4,0),(3,9,6):}] "and" B=[{:(1,4),(2,8),(1,3):}] , is (AB)=B'A'?

if A=[{:(1,6),(2,4),(-3,5):}]B=[{:(3,4),(1,-2),(2,-1):}], then find a matrix C such that 2A-B+c=0

if A=[{:(3,-2),(7,1):}]and B=[{:(2,3),(-1,4):}], then find (i) A+B (ii) A-2B

NCERT EXEMPLAR ENGLISH-MATRICES-Solved example
  1. If A=[{:(1,0,-1),(2,1,3),(0,1, 1):}] then verify that A^(2)+A=A(A+I) ,...

    Text Solution

    |

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

    Text Solution

    |

  3. If A=[{:(1,2),(4,1),(5,6):}] and B=[{:(1,2),(6,4),(7,3):}], then varif...

    Text Solution

    |

  4. Show that A' A and A A' are both symmetric matrices for any matrix A.

    Text Solution

    |

  5. Let A and B be square matrices of the order 3xx3 . Is (A B)^2=A^2B^...

    Text Solution

    |

  6. Show that , if A and B are square matrices such that AB=BA, then (A+B)...

    Text Solution

    |

  7. If A=[{:(1,2),(-1,3):}]B=[{:(4,0),(1,5):}],C=[{:(2,0),(1,-2):}] a=4 an...

    Text Solution

    |

  8. If A=[{:(cos q,sin q),(-sin q, cos q):}] , then variefy that A^(2)=[{:...

    Text Solution

    |

  9. If A=[{:( 0,-x),(x,0):}].B=[{:(0,1),(1,0):}] and x^(2)=-1 , then show ...

    Text Solution

    |

  10. Verify that A^(2)=I, when A=[{:(0,1,-1),(4,-3,4),(3,-3,4):}]

    Text Solution

    |

  11. If A is a square matrix, using mathematical induction prove that (A...

    Text Solution

    |

  12. Find inverse, by elementary row operations (if possible) , of both fo...

    Text Solution

    |

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

    Text Solution

    |

  14. If A=[{:(1,5),(7,12):}] and B=[{:(9,1),( 7,8):}] then find a matrix C ...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the values of a,b,c and d, if 3[{:(a,b),(c,d):}]=[{:(a,6),(-1,2...

    Text Solution

    |

  17. Find the matrix A such that [{:(2,-1), (1,0),(-3,4):}]A=[{:(-1,-8,-10)...

    Text Solution

    |

  18. If A=[{:(1,2),(4,1):}] , then find A^(2)+2A+7I.

    Text Solution

    |

  19. If A=[{:(cos alpha,sin alpha),(-sin alpha, cos alpha):}] and A^(-1)=A'...

    Text Solution

    |

  20. If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is skew-symmetric matrix, the...

    Text Solution

    |