Home
Class 12
MATHS
If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-...

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) and (B-C)`. Also, verify that `A+(B-C)=(A+B)-C`.

Text Solution

Verified by Experts

The correct Answer is:
`A+B=[(4,1,-1),(9,2,7),(3,-1,4)],B-C=[(-1,-2,0),(4,-1,3),(1,2,0)]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NCERT TELUGU|Exercise EXERCISE 3.3|14 Videos

  • MATRICES

    NCERT TELUGU|Exercise EXERCISE 3.4|18 Videos

  • MATRICES

    NCERT TELUGU|Exercise EXERCISE 3.1|10 Videos

  • LINEAR PROGRAMMING

    NCERT TELUGU|Exercise EXERCISE 12.1 (SOLVE THE FOLLOWING LINEAR PROGRAMMING PROBLEMS GRAPHICALLY:)|6 Videos

  • PROBABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

Similar Questions

Explore conceptually related problems

If A=[(-1,-2,3),(1,2,4),(2,-1,3)],B=[(1,-2,5),(0,-2,2),(1,2,-3)] and C=[(-2,1,2),(1,1,2),(2,0,1)] then A+B+C=

If A=[(0,1,2),(2,3,4),(4,5,6)] and B=[(1,-2,0),(0,1,-1),(-1,0,3)] then find A-B and 4B-3A

If A=[(1,3,0),(-1,2,1),(0,0,2)],B=[(2,3,4),(1,2,3),(-1,1,2)] then AB=

IF A=[{:(-1,-2,3),(1,2,4),(2,-1,3):}],B=[{:(1,-2,5),(0,-2,2),(1,2,-3):}]and C=[{:(-2,1,2),(1,1,2),(2,0,1):}] then find A+B+C.

If A=[(1,1,-1),(2,0,3),(3,-1,2)],B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3,-4),(2,0,-2,1)] , find A(BC), (AB)C and show that (AB)C=A(BC) .

If A=[(1,5,3),(2,4,0),(3,-1,-5)] and B=[(2,-1,0),(0,-2,5),(1,2,0)] then 3A-5B^(T)=

If A=[(0,6,7),(-6,0,8),(7,-8,0)],B=[(0,1,1),(1,0,2),(1,2,0)],C=[(2),(-2),(3)] Calculate AC, BC and (A+B)C . Also, verify that (A+B)C=AC+BC

If A=[(1,-2,3),(-4,2,5)],B=[(1,3),(-1,0),(2,4)] then 2A+3B'=

If A=[(1,2,3),(2,3,1)] and B=[(3,-1,3),(-1,0,2)] , then find 2A-B .

If A = [(1,5,3),(2,4,0),(3,-1,-5)], B = [(2,-1,0),(0,-2,5),(1,2,0)] then find 3A - 4B .

NCERT TELUGU-MATRICES-EXERCISE 3.2
  1. Compute the following: [(a,b),(-b,a)]+[(a,b),(b,a)] (ii) [(a^(2)+b...

    Text Solution

    |

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

    Text Solution

    |

  3. If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(...

    Text Solution

    |

  4. If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2...

    Text Solution

    |

  5. Simplify costheta[(costheta,sin theta),(-sintheta,costheta)]+sin[(sint...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Solve the equation for x, y, z and t, if 2[(x, y),(y,t)]+3[(1,-1),(0,2...

    Text Solution

    |

  10. If x[(2),(3)]+y[(-1),(1)]=[(10),(5)], find the value of x and y.

    Text Solution

    |

  11. Given 3[(x,y),(z,w)]=[(x,6),(-1,2w)]+[(4,x+y),(z+w,3)], find the value...

    Text Solution

    |

  12. If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)], show that F(x) F(y)=F(...

    Text Solution

    |

  13. Show that (i) [(5,-1),(6,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(5,-1),(6...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If A=[(0,-"tan"(alpha)/(2)),("tan"(alpha)/(2),0)] and I is the identit...

    Text Solution

    |

  18. A trust fund has to invest Rs 30,000 in two different types of bonds. ...

    Text Solution

    |

  19. A certain bookshop has 10 dozen chemistry books, 8 dozen physics books...

    Text Solution

    |

  20. Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...

    Text Solution

    |