Home
Class 12
MATHS
if A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[...

`if A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[{:(3,-1,2),(4,2,5),(2,0,3):}]and c=[{:(4,1,2),(0,3,2),(1,-2,3):}],` then compure (A+B) and (B-C), Also , verify that A+(B-C)=(A+B)-C.`

Text Solution

Verified by Experts

The correct Answer is:
(1) and (2), `A+(B-C)=(A+B)-C`.
Hence, the verification.
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 3.2) Choose the correct answer|2 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 3.3)|10 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 3.1)|10 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise Chapter Test|12 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(3," "5),(-2," "0),(6,-1):}],B=[{:(-1,-3),(4," "2),(-2," "3):}]" and "C=[{:(0," "2),(3,-4),(1," "6):}], Verify that (A+B)+C=A+(B+C).

If A=[(1,2,3),(-1,0,2),(1,-8,-1)],B=[(4,5,6),(-1,0,1),(2,1,2)],C=[(-1,-2,1),(-1,2,3),(-1,-2,2)] , find (i) 2B-3C (ii) A-2B+3C .

If A=[{:(3,2),(1,0):}],B=[{:(1,-2,5),(0,7,3):}]" and "C=[{:(8,1,-6),(2,-5,0):}] , verify that A(B+C)=(AB+AC).

Let A=[{:(0,1,-2),(5,-1,-4):}],B=[{:(1,-3,-1),(0,-2," "5):}]" and "C=[{:(2,-5,1),(-4," "0,6):}]. Compute 5A-3B+4C.

If A=[{:(" "1,-1," "2),(" "3," "2," "0),(-2," "0," "1):}],B=[{:(3,1),(0,2),(-2,5):}]" and "C=[{:(2,1,-3),(3,0,-1):} then verify that (AB)C=A(BC).

Let A=[(1,2),(2,1)],B=[(2,0),(1,3)] and C=[(1,1),(2,3)] . Calculate AC, BC and (A+B) C. Also, verify that (A+B)C=AC+BC.

Let A+B+C= [{:(,4,-1),(,0,1):}],4A+2B+C=[{:(,0,-1),(,-3,2):}]and 9A+3B+C=[{:(,0,2),(,2,1):}]"then find A"

If A=[1 2-3 5 0 2 1-1 1], B=[3-1 2 4 2 5 2 0 3] and C=[4 1 2 0 3 2 1-2 3] , then compute (A+B)" "a n d" "(B" "" "C) . Also, verify that A" "+" "(B" "" "C)" "=" "(A" "+" "B)" "" "C .

Given A=[(1,2,-3),(5,0,2),(1,-1,1)] and b=[(3,-1,2),(4,2,5),(2,0,3)] , find the matrix C such that A+C=B .

If A=[{:(" "1," "0,-2),(" "3,-1," "0),(-2," "1," "1):}],B=[{:(" "0,5,-4),(-2,1," "3),(-1,0," "2):}]" and "C=[{:(" "1," "5,2),(-1," "1,0),(" "0,-1,1):}], verify that A(B-C)=(AB-AC).

MODERN PUBLICATION-MATRICES-NCERT - FILE (Question from NCERT Book) (Exercise 3.2)
  1. A=[{:(2,4),(3,2):}],B=[{:(1,3),(-2,5):}],C=[{:(-2,5),(3,4):}] find ...

    Text Solution

    |

  2. compute the following : (i) [{:(a,b),(-b,a):}]+[{:(a,b),(b,a):}] (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. costheta[{:(costheta,-sin theta),(sintheta,costheta):}]+sintheta[{:(si...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Find X and Y,if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2):}]=[{:(5,6),(1,8...

    Text Solution

    |

  10. Find x ,\ y ,\ z ,\ t if 2[x z y t]+3[1-1 0 2]=3[3 5 4 6] .

    Text Solution

    |

  11. If x[2 3]+y[-1 1]=[10 5] , find the values of x and y.

    Text Solution

    |

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

    Text Solution

    |

  13. If F(x)=[{:(cosx,-sinx,0),(six,cosx,0),(0,0,1):}], show that F(x).F(y)...

    Text Solution

    |

  14. Show that (i) [(5,-1),(6,7)][(2,1),(3,4)]!=[(2,1),(3,4)][(5,-1),(6,7...

    Text Solution

    |

  15. Find A^2-5A+6I , if A=[2 0 1 2 1 3 1-1 0]

    Text Solution

    |

  16. If A=[1 0 2 0 2 1 2 0 3] , prove that A^3-6A^2+7A+2I=0

    Text Solution

    |

  17. If A=[(3,-2),(4,-2)] and I=[(1,0),(0,1)], find k so that A^(2)=kA-2I.

    Text Solution

    |

  18. Let A=[0-tan(alpha//2)tan(alpha//2)0] and I be the identity matrix ...

    Text Solution

    |

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

    Text Solution

    |

  20. The bookshop of a particular school has 10 dozen chemistry books, 8...

    Text Solution

    |