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

If `[[2, 1],[ 3, 2]]A[[-3 ,2],[ 5,-3]]=[[1 ,0],[ 0, 1]]`, then `"A=` (A) `[[1, 1],[ 1 ,0]]` (B) `[[1, 1],[ 0, 1]]` (C) `[[1 ,0],[ 1 ,1]]` (D) `-[[1, 1],[ 1, 0]]`

Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos
  • METHODS OF DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

If A^(-1)=[[1,-1, 2],[0, 3,1],[ 0 ,0,-1/3]] , then |A|=-1 b. adj A=[[-1, 1 ,-2],[ 0,-3,-1],[ 0, 0, 1/3]] c. A=[[1, 1/3, 7 ],[0, 1/3, 1],[0 ,0,-3]] d. A =[[1,-1/3,-7],[ 0,-3, 0],[ 0, 0, 1]]

If A = [[3,1],[-1,2]],I= [[1,0],[0,1]] and O = [[0,0],[0,0]] show that A^2-5A+7I=0 . Hence find A^(-1) .

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

Let M be a 3xx3 matrix satisfying M[[0], [1] ,[0]]=[[-1], [2], [3]] , M[[1],[-1], [0]]=[[1], [1],[-1]] ,and M[[1], [1], [1]]=[[0] ,[0], [12]] Then the sum of the diagonal entries of M is _________.

Let A +2B=[[1, 2, 0],[ 6,-3, 3],[-5, 3, 1] ] and 2A-B=[[2,-1, 5 ],[2,-1, 6],[ 0, 1, 2]] . Then T r(B) has the value equal to a. 0 b. 1 c. 2 d. none

If A=[[0, 1,2],[1,2,3],[3,a,1]]and A^(-1)[[1//2,-1//2,1//2],[-4,3,b],[5//2,-3//2,1//2]] then find a and b

Verify that the matrix equation A^2 - 4a +3I =0 is satisfied by the matrix A = [[2,-1],[-1,2]] , where I = [[1,0],[0,1]] and 0= [[0,0],[0,0]] ,

Given A=[(5, 0, 4),( 2, 3, 2),( 1, 2, 1)] , B^(-1)=[(1, 3, 3),( 1, 4, 3),( 1, 3, 4)] . Compute (A B)^(-1) .

A is a 2xx2 matrix such that A[[1],[-1]]=[[-1],[ 2]] and A^2[[1],[-1]]=[[1],[ 0]]dot The sum of the elements of A is a. -1 b. 0 c. 2 d. 5

CENGAGE PUBLICATION-MATRICES-All Questions
  1. The number of solutions of the matrix equation X^2=[[1, 1],[ 2, 3]] is...

    Text Solution

    |

  2. If A^2-A+I=0, then the inverse of A is a. A^(-2) b. A+I c. I-A d. A-I

    Text Solution

    |

  3. If [[2, 1],[ 3, 2]]A[[-3 ,2],[ 5,-3]]=[[1 ,0],[ 0, 1]], then "A= (...

    Text Solution

    |

  4. If A and B are two nonzero square matrices of the same order such that...

    Text Solution

    |

  5. Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt...

    Text Solution

    |

  6. Let X \ a n d \ Y be two arbitrary, 3xx3 , non-zero, skew-symmetric ma...

    Text Solution

    |

  7. evaluate: int1/((x^2+1)(x^2+4))dx

    Text Solution

    |

  8. Let M be a 2xx2 symmetric matrix with integer entries. Then M is inver...

    Text Solution

    |

  9. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

    Text Solution

    |

  10. If B is an idempotent matrix, and A=I-B , then a. A^2=A b. A^2=I ...

    Text Solution

    |

  11. If A^(-1)=[[1,-1, 2],[0, 3,1],[ 0 ,0,-1/3]] , then |A|=-1 b. adj A=[[-...

    Text Solution

    |

  12. If [(1,0,0),(0,1,0),(0,0,1)][(x),(y),(z)]=[(1),(-1),(0)] , find x ,\ y...

    Text Solution

    |

  13. Which of the following statements is/are true about square matrix A or...

    Text Solution

    |

  14. If A is an invertible matrix, then (a d jdotA^(-1)) is equal to a.[a ...

    Text Solution

    |

  15. If A=(a(i j))(nxxn) and f is a function, we define f(A)=((f(a(i j))))(...

    Text Solution

    |

  16. Suppose a1, a2, are real numbers, with a1!=0. If a1, a2,a3, are in A...

    Text Solution

    |

  17. If A,B,C are three square matrices of the same order, then A B=A C =>...

    Text Solution

    |

  18. Let A=[1 0 1 1] . Then which of following is not true? (lim)(nvecoo)1/...

    Text Solution

    |

  19. If alpha,beta,gamma are real numbers, then without expanding at any...

    Text Solution

    |

  20. The matrix A=[(-5,-8,0),(3,5,0),(1,2,-1)] is (A) idempotent mat...

    Text Solution

    |