Home
Class 12
MATHS
If A=[[2,4],[3,13]]"and I"=[[1,0],[0,1]]...

If `A=[[2,4],[3,13]]"and I"=[[1,0],[0,1]]"find" A-alpha I,alpha in R.`

Text Solution

Verified by Experts

The correct Answer is:
`=[{:(2-alpha,4),(3,13-alpha):}]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (b) )|43 Videos

  • MATRICES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Very Short Answer Type Questions) |56 Videos

  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part IV (Inverse of a Matrix by Elementary Operations ( Short Answer Type Questions ) |1 Videos

  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

Similar Questions

Explore conceptually related problems

Find product: [[1,2],[3,4]][[1,0],[0,1]]

If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]] , show that for no values of alpha, A^2=B .

If A=[[1,0,-2],[2,3,-1]], B=[[4,-1,3],[0,2,1]]"and" C=[[2,-3,0],[1,4,5]] "find " A-3B+3C

If A=[[1,0,-2],[2,3,-1]], B=[[4,-1,3],[0,2,1]]"and" C=[[2,-3,0],[1,4,5]] "find "B^T-C^T .

If A=[[1,0,-2],[2,3,-1]], B=[[4,-1,3],[0,2,1]]"and" C=[[2,-3,0],[1,4,5]] "find " (A+B-C)^T

If [[2x,y],[1,3]]+[[4,2],[0,-1]]=[[8,3],1,2]] Find x and y.

If A=[[1,2,3],[3,-2,1],[4,2,1]] "show that" A^3-23A-40I=0

If 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]] then find the value of x + y.

ARIHANT PUBLICATION-MATRICES -ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (a) )
  1. Write true or false in the following case: With five elements a matrix...

    Text Solution

    |

  2. Write true or false in the following case: The unit matrix is its own ...

    Text Solution

    |

  3. If A=[[2,4],[3,13]]"and I"=[[1,0],[0,1]]"find" A-alpha I,alpha in R.

    Text Solution

    |

  4. Find x and y : [[x,-2y],[0,-2]]=[[1,-8],[0,-2]]

    Text Solution

    |

  5. Find x and y in the following [{:(x+3,),(2-y,):}]=[{:(1),(-3):}]

    Text Solution

    |

  6. Find x and y in the following [{:(2x-y),(x+y):}]=[{:(3),(9):}]

    Text Solution

    |

  7. Find x and y in the following [{:(x),(y):}]+[{:(3),(4):}]=[{:(2),...

    Text Solution

    |

  8. Find x and y in the following [{:(2x,-y):}]+[{:(y,3x):}]=5[{:(1,0)...

    Text Solution

    |

  9. The element of ith row and jth column of the following matrix is I +j....

    Text Solution

    |

  10. Write down the matrix [[a11,a12,a13],[a21,a22,a23]]"if"a(ij)=2i+3j

    Text Solution

    |

  11. Construct a 2xx3 matrix having elements given by a(ij)=i+j

    Text Solution

    |

  12. Construct a 2xx3 matrix having elements given by a(ij)=i-j

    Text Solution

    |

  13. Construct a 2xx3 matrix having elements given by (i) a(ij)=(i)/(j) ...

    Text Solution

    |

  14. Construct a 2xx3 matrix having elements given by (i) a(ij)=(i)/(j) ...

    Text Solution

    |

  15. If [{:(2x,y),(1,3):}]+[{:(4,2),(0,-1):}]=[{:(8,3),(1,2):}] , find x an...

    Text Solution

    |

  16. Find A such that[[2,3,4],[1,0,-2],[3,1,-1]]+A=[[1,2,-1],[2,-1,0],[1,3,...

    Text Solution

    |

  17. If [{:(x+y,x-z),(2x-y,0):}]=[{:(2,2),(1,0):}],find the value of x,y,z.

    Text Solution

    |

  18. What is the order of the matrix B if[" 3"" 4"" 2 ""] B =[ 2 "" 1"" 0""...

    Text Solution

    |

  19. Find A if [[4],[1],[3]] A =[[-4,8,4],[-1,2,1],[-3,6,3]]

    Text Solution

    |

  20. Find B if B^(2)=[{:(17,8),(8,17):}]

    Text Solution

    |