Home
Class 12
MATHS
If A=[2-1 3 1] and B=[1 4 7 2] , find 3A...

If `A=[2-1 3 1]` and `B=[1 4 7 2]` , find `3A-2Bdot`

Text Solution

Verified by Experts

`3A-2B=3 [(2,-1),(3,1)]-2[(1,4),(7,2)]`
`=[(6,-3),(9,3)]-[(2,8),(14,4)]`
`=[(6-2, -3-8),(9-14,3-4)]`
`=[(4,-11),(-5,-1)]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    CENGAGE|Exercise Exercise 13.1|5 Videos
  • MATRICES

    CENGAGE|Exercise Exercise 13.2|6 Videos
  • MATRICES

    CENGAGE|Exercise Multiple Correct Answer|7 Videos
  • MATHMETICAL REASONING

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

    CENGAGE|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

If A={1,2,3,4,5} and B={4,5,6,7}, then find A-B and B-A. Are they equal?

If A={1,2,3,4} and B={1,2,3,5,6}, then find A cap B and B cap A. Are they equal.

CENGAGE-MATRICES-Examples
  1. If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I, the...

    Text Solution

    |

  2. Let A be a square matrix. Then prove that (i) A + A^T is a symmetric m...

    Text Solution

    |

  3. If A=[2-1 3 1] and B=[1 4 7 2] , find 3A-2Bdot

    Text Solution

    |

  4. Find the non-zero values of x satisfying the matrix equation x[(2x, ...

    Text Solution

    |

  5. Let A+2B=[(1,2,0),(6,-1,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,...

    Text Solution

    |

  6. If [(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2)...

    Text Solution

    |

  7. Prove that square matrix can be expressed as the sum of a symmetric ma...

    Text Solution

    |

  8. Matrix A ha s m rows and n+ 5 columns; matrix B has m rows and 11 - n ...

    Text Solution

    |

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

    Text Solution

    |

  10. Find the value of x and y that satisfy the equations [(3,-2),(3,0),(2,...

    Text Solution

    |

  11. Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,...

    Text Solution

    |

  12. If A=[costhetasintheta-sinthetacostheta], then prove that A^n=[cosnthe...

    Text Solution

    |

  13. If A=((p,q),(0,1)), then show that A^(8)=((p^(8),q((p^(8)-1)/(p-1))),(...

    Text Solution

    |

  14. Let A=[(2,1),(0,3)] be a matrix. If A^(10)=[(a,b),(c,d)] then prove th...

    Text Solution

    |

  15. Show that the solution of the equation [(x, y),(z, t)]^(2)=O is [(x,y)...

    Text Solution

    |

  16. Let a be square matrix. Then prove that A A^(T) and A^(T) A are symmet...

    Text Solution

    |

  17. If A, B are square materices of same order and B is a skewsymmetric ma...

    Text Solution

    |

  18. If a and B are square matrices of same order such that AB+BA=O, then p...

    Text Solution

    |

  19. Let A=[(1,2),(-1,3)] .If A^6=kA-205I then then numerical quantity of...

    Text Solution

    |

  20. Let A, B, C, D be (not necessarily square) real matrices such that A^T...

    Text Solution

    |