Home
Class 12
MATHS
If [[1,2],[3,4]] [[3,1],[2,5]]=[[7,11],[...

If `[[1,2],[3,4]] [[3,1],[2,5]]=[[7,11],[k,23]],` then write the value of `k.`

Text Solution

Verified by Experts

`[[1,2],[3,4]][[3,1],[2,5]] = [[7,11],[k,23]]`
`=>[[1(3)+2(2),1(1)+2(5)],[3(3)+4(2),3(1)+4(5)]] = [[7,11],[k,23]]`
`=>[[7,11],[17,23]] = [[7,11],[k,23]]`
So, comparing both sides,
`=> k = 17`
Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

If [(1, 2),( 3, 4)][(3, 1),( 2, 5)]=[(7, 11),( 23, k)] , then write the value of kdot

If [{:(1,5),(3,4):}] [{:(3,1),(3,5):}] = [{:(18,26),(k,23):}] , then the value of k is

If "|[1,k,3],[3,k,-2],[2,3,-1]| =0," then the value of "k" is

If [(2,3),(5,7)] [(1,-3),(-2,4)]=[(-4,6),(-9,x)], write the value of x

If |[1,2,K],[K,4,5],[5,6,7]|=0 ,then the possible values of K are

Find the value of k if k[[1,2],[3,4]]=[[5,10],[15,20]]

If A=[(2, 3),(5,-2)] be such that A^(-1)=k\ A , then find the value of k .

If A=[[2-k,2],[1,3-k]] is a singular matrix,then find the value of 5k-k^(2) .

If k-1,k+1 and 2k+3 are in AP , then the value of k is

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-\ 4 h...

    Text Solution

    |

  2. Evaluate : int(cosx)/((2+sinx)dx\ (3+4sinx)

    Text Solution

    |

  3. If [[1,2],[3,4]] [[3,1],[2,5]]=[[7,11],[k,23]], then write the value o...

    Text Solution

    |

  4. Find the particular solution of the differential equation. (dy)/(dx...

    Text Solution

    |

  5. Show that f\ : NvecN ,\ given by f(x)={x+1, if\ x\ i s\ od dx-1,\ \ ...

    Text Solution

    |

  6. Evaluate : int(logx)/x\ dxdot

    Text Solution

    |

  7. What is the value of the determinant |(0,2,0),(2,3,4),(4,5,6)|?

    Text Solution

    |

  8. What is the degree of the following differential equation? 5x\ ((d...

    Text Solution

    |

  9. What is the range of the function f(x)=(|x-1|)/((x-1))?

    Text Solution

    |

  10. If A=[[cos alpha,-sin alpha],[sin alpha,cos alpha]], then for what val...

    Text Solution

    |

  11. What is the principal value of sin^(-1)(-(sqrt(3))/2)\ ?

    Text Solution

    |

  12. Find the equation of the plane through the points (2, 1, 1) and (1,...

    Text Solution

    |

  13. Find the shortest distance between the following lines: (x+1)/7=(y+1)...

    Text Solution

    |

  14. A cottage industry manufactures pedestal lamps and wooden shades, e...

    Text Solution

    |

  15. A factory has two machines A and B. Past record shows that machine ...

    Text Solution

    |

  16. Find the inverse of the following matrix using elementary operations: ...

    Text Solution

    |

  17. Using properties of determinants, prove the following: |[x,x^2,1+px^3]...

    Text Solution

    |

  18. Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)

    Text Solution

    |

  19. Solve the following for x : cos^(-1)((x^2 - 1)/(x^2 + 1))+t a n^(-1...

    Text Solution

    |

  20. Using matrices, solve the following system of equations: x\ -\ y+z...

    Text Solution

    |