Home
Class 12
MATHS
If A=[[3,-3,4],[2,-3,4],[0,-1,1]] , then...

If `A=[[3,-3,4],[2,-3,4],[0,-1,1]]` , then

A

adj(adj )A =A

B

|adj(adjA)|=1

C

|adjA|=1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE MAIN ARCHIVE|92 Videos
  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|78 Videos
  • JEE MAIN REVISON TEST-23

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
  • MOCK TEST 1

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

Similar Questions

Explore conceptually related problems

If A =[{:(3,-3,4),(2,-3,4),(0,-1,1):}] and B is the adjoint of A, find the value of |AB+2I| ,where l is the identity matrix of order 3.

If A=[[4,-1,-4],[ 3, 0,-4],[ 3,-1,-3]] , show that A^2=I_3dot

Using elementary row operations find the inverse of A = ((3,-3,4),(2,-3,4),(0,-1,1)) , and hence the following system of equations 3x - 3y + 4z = 21, 2x - 3y + 4z = 20 , - y + z = 5 .

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0) [[-4,-4,-4],[1,0,1],[4,4,3]] then find A_0 +B_0

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0)= [[-4,-4,-4],[1,0,1],[4,4,3]] then find A_0-B_O

If A=[[3, -1, 4], [2, 3, 1]], B=[[1, 3, 4], [2, 1, 0], [-3, 2, 3]] find AB

If A=[[1 ,2,-3],[ 5, 0, 2],[ 1,-1, 1]], B=[[3,-1, 2],[ 4, 2 ,5],[ 2, 0, 3]] and C=[[4, 1, 2],[ 0, 3, 2],[ 1,-2, 3]] , then compute (A+B) and (B - C) . Also, verify that A + (B - C) = (A + B) - C .

If A=[3-3 4 2-3 4 0-1 1] , show that A^(-1)=A^3 .

If A= [[2,4,-1],[-1,0,2]], B=[[3,4],[-1,2],[2,1]] , Show that (AB)'=B'A' .

If A=[[2,3,4],[-3,0,2]], B=[[3,-4,-5],[1,2,1]] and C=[[5,-1,2],[7,0,3]] , find the matrix X such that 2A+3B=X+C

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -LEVEL 2
  1. Let A and B be two nonsingular square matrices, A^(T) and B^(T) are th...

    Text Solution

    |

  2. If A(theta)=[(sin theta, i cos theta),(i cos theta, sin theta)], then ...

    Text Solution

    |

  3. If A=[[3,-3,4],[2,-3,4],[0,-1,1]] , then

    Text Solution

    |

  4. If A^(-1)=[(1,-1,2),(0,3,1),(0,0,-1//3)], then

    Text Solution

    |

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

    Text Solution

    |

  6. If A, B, and C are three square matrices of the same order, then AB=AC...

    Text Solution

    |

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

    Text Solution

    |

  8. Let A=[(1,0),(1,1)] . Then which of the following is not true ?

    Text Solution

    |

  9. If C is skew-symmetric matrix of order n and X isnxx1 column matrix, t...

    Text Solution

    |

  10. If S=[(0,1,1),(1,0,1),(1,1,0)]a n dA=[(b+c,c+a,b-c),(c-b,c+b, a-b),(b-...

    Text Solution

    |

  11. If A B=A and B A=B , then show that A^2=A , B^2=B .

    Text Solution

    |

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

    Text Solution

    |

  13. Let A=a0 be a matrix of order 3, where a(i j)=x ; ifi=j ,x in R, 1 if...

    Text Solution

    |

  14. Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...

    Text Solution

    |

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

    Text Solution

    |

  16. Let A=[a("ij")](3xx3) be a matrix such that A A^(T)=4I and a("ij")+2c(...

    Text Solution

    |

  17. Let A and B be two nonsingular square matrices, A^(T) and B^(T) are th...

    Text Solution

    |

  18. If A is a symmetric matrix, B is a skew-symmetric matrix, A+B is nonsi...

    Text Solution

    |

  19. If A^(-1)=[(sin^(2)alpha, 0, 0),(0, sin^(2)beta,0),(0, 0,sin^(2)gamma)...

    Text Solution

    |

  20. A is even ordered non singular symmetric matrix and B is even ordered ...

    Text Solution

    |