Home
Class 12
MATHS
If A^T=[3 4-1 2 0 1]\ and B=[-1 2 1 1 2...

If `A^T=[3 4-1 2 0 1]\ ` and `B=[-1 2 1 1 2 3],` then find `A^T-\ B^T`

Text Solution

AI Generated Solution

To solve the problem of finding \( A^T - B^T \), we will follow these steps: ### Step 1: Identify the matrices We are given: - \( A^T = \begin{bmatrix} 3 & 4 \\ -1 & 2 \\ 0 & 1 \end{bmatrix} \) (which is a \( 3 \times 2 \) matrix) - \( B = \begin{bmatrix} -1 & 2 & 1 \\ 1 & 2 & 3 \end{bmatrix} \) (which is a \( 2 \times 3 \) matrix) ### Step 2: Find the transpose of matrix B ...
Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

If A^T=[3 4-1 2 0 1] and B=[-1 2 1 1 2 3] , find A^T-B^T .

If A^T=[[3, 4],[-1, 2], [0 ,1]] and B=[[-1, 2, 1],[ 1, 2, 3]], find A^T-B^T

If A=[ -1 // 2 // 3 ] and B=[-2\ \ -1\ \ -4] , verify that (A B)^T=B^T\ A^T

If A=[(1, 2 ),(3, 4)] , find A+A^T .

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

Let A=[[1,-1, 0],[ 2, 1, 3],[ 1, 2, 1]] a n d B=[[1 ,2, 3],[ 2, 1, 3],[ 0, 1, 1]]dot Find A^T ,B^T and verify that (i) (A+B)^T=A^T+B^T (ii) (A B)^T=B^T A^T (iii) (2A)^T=2A^T

If A=[[3] , [ 5] , [2] ] and B=[1\ \ 0\ \ 4] , verify that (A B)^T=B^T\ A^Tdot

If A={:[(-1),(2),(3)]:} and B=[-2" "-1" "-4] then verify that (AB)^(T)=B^(T)A^(T).

For the matrices A and B , A=[[2 ,1 ,3 ] , [4 ,1 ,0 ]] , B=[[1 , -1] , [ 0, 2 ] , [ 5 , 0]] verify that (A B)^T=B^T\ A^T

If A=[(1,-1) ,(2 ,3)],B=[(2, 1), (1, 0)],p rove t h a t (A+B)^2!=A^2+2A B+B^2

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate : int0^2sqrt(4-x^2)\ dx

    Text Solution

    |

  2. Given inte^x\ (tanx+1)secx\ dx=e^xf(x)+c, write f(x) satisfying the a...

    Text Solution

    |

  3. If A^T=[3 4-1 2 0 1]\ and B=[-1 2 1 1 2 3], then find A^T-\ B^T

    Text Solution

    |

  4. Let A be a square matrix of order 3\ xx\ 3 . Write the value of |2A|...

    Text Solution

    |

  5. Find the principal value of tan^(-1)sqrt(3)-sec^(-1)(-2)

    Text Solution

    |

  6. Find the value of x+y from the following equation: 2[(x,5),(7y,-3)]+[(...

    Text Solution

    |

  7. Prove The following: "cos"(sin^(-1)\ 3/5+cot^(-1)\ 3/2)=6/(5\ sqrt(13)...

    Text Solution

    |

  8. The magnitude of the vector product of the vector hat i+ hat j+ hat k...

    Text Solution

    |

  9. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dx

    Text Solution

    |

  10. Write the value ( hat ixx hat j)dot hat k+ hat idot hat jdot

    Text Solution

    |

  11. Find the scalar components of the vector vec A B with initial point A...

    Text Solution

    |

  12. सिद्ध कीजिए कि - int(0)^(pi//2)(sin^(2)x)/(sinx+cosx)dx=(1)/(sqrt2)l...

    Text Solution

    |

  13. Evaluate: int(x^3)/(x^4+3x^2+2)dx

    Text Solution

    |

  14. Find : int(sqrt(x^2+1)(log(x^2+1)-2logx)/(x^4)dx

    Text Solution

    |

  15. Find : int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)s...

    Text Solution

    |

  16. In a game, a man wins rupees five for a six and loses rupee one for...

    Text Solution

    |

  17. An urn contains 4 balls. Two balls are drawn at random from the urn...

    Text Solution

    |

  18. Solve for x : tan^(-1)x+2cot^(-1)x=(2pi)/3

    Text Solution

    |

  19. Find the value of cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

    Text Solution

    |

  20. One kind of cake requires 200 g of flour and 25 g of fat, and anoth...

    Text Solution

    |