Home
Class 12
MATHS
Let A +2B=[[1, 2, 0],[ 6,-3, 3],[-5, 3, ...

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

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

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 find tr(A)-tr(B).

Determine the matrices A and B, where A+2B={:[(1,2,0),(6,-3,3),(-5,3,1)] and 2A-B={:[(2,-1,5),(2,-1,6),(0,1,2)]:} .

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

If A=[[1,2,5].[-1,3,-4]] and B= [[3,-2,1],[0,-1,4],[5,2,-1]] show that (AB)^T=B^TA^T were A^T is the transpose of A.

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

Let A=[[1 ,2 ,3],[ 2, 0, 5],[ 0 ,2 ,1]] and B=[[0],[-3],[1]] . Which of the following is a true? a. A X=B has a unique solution b. A X=B has exactly three solutions c. A x=B has infinitely many solutions d. A X=B is inconsistent

Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(1,-2,3)] . If B is the inverse of A, then find the value of alpha

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) .

If A=[(1,0,2),(-1,1,-2),(0,2,1)]" and Adj "A=[(5,a,-2),(1,1,0),(-2,-2,b)] , then the values of a and b are -

CENGAGE PUBLICATION-MATRICES-All Questions
  1. If A ,B ,A+I ,A+B are idempotent matrices, then A B is equal to a.B A ...

    Text Solution

    |

  2. Given the matrix A=[[x,3,2],[1,y,4],[2,2,z]]. If xyz=60 and 8x+4y+3z=2...

    Text Solution

    |

  3. Let A +2B=[[1, 2, 0],[ 6,-3, 3],[-5, 3, 1] ] and 2A-B=[[2,-1, 5 ],[2,-...

    Text Solution

    |

  4. Which of the following in an orthogonal matrix

    Text Solution

    |

  5. If k in Ro then det{adj(k In)} is equal to (A) K^(n-1) (B) K^((n-1)...

    Text Solution

    |

  6. If A1, A2, , A(2n-1) are n skew-symmetric matrices of same order, th...

    Text Solution

    |

  7. Let A=[[1 ,2 ,3],[ 2, 0, 5],[ 0 ,2 ,1]] and B=[[0],[-3],[1]] . Which ...

    Text Solution

    |

  8. Column I, Column II If |A|=2,t h e n|2A^(-1)=(w h e r eA is of orde...

    Text Solution

    |

  9. A=[[0 ,1],[ 3 ,0]]a n d(A^8+A^6+A^4+A^2+I) V=[[0] ,[11]](w h e r e I i...

    Text Solution

    |

  10. Show that every square matrix A can be uniquely expressed as P+i Q ,wh...

    Text Solution

    |

  11. Express A as the sum of a Hermitian and a skew-Hermitian matrix, where...

    Text Solution

    |

  12. If A=([a(i j)])(nxxn) is such that ( a )(i j)=bar (a(j i)),AAi ,j and...

    Text Solution

    |

  13. Statement 1: If A is an orthogonal matrix of order 2, then |A|=+-1. ...

    Text Solution

    |

  14. Column I, Column II (I-A)^n is if A is idempotent, p. 2^(n-1)(l-...

    Text Solution

    |

  15. Evaluate P(AuuB) if 2P(A) = P(B) =5/13 and P(A/B) = 25

    Text Solution

    |

  16. Show that the solutions of the equation [(x,y),(z,t)]^2=0 are[(x,y),(...

    Text Solution

    |

  17. If A=[[-1, 1],[ 0,-2]] , then prove that A^2+3A+2I=Odot Hence, find ...

    Text Solution

    |

  18. If B ,C are square matrices of order na n difA=B+C ,B C=C B ,C^2=O , ...

    Text Solution

    |

  19. Statement 1: if D=diag[d1, d2, ,dn],then D^(-1)=diag[d1^(-1),d2^(-1),...

    Text Solution

    |

  20. If S is a real skew-symmetric matrix, then prove that I-S is non-si...

    Text Solution

    |