Home
Class 12
MATHS
The matrix X for which [[1,-4],[ 3,-2]]X...

The matrix `X` for which `[[1,-4],[ 3,-2]]X=[[-16-,6],[ 7 ,2]]` is a.`[[-2, 4],[-3, 1]]` b. `[[-1/5, 2/5],[-3/(10),1/5]]` c. `[[-16, 16],[ 7 ,2]]` d. `[[6, 2],[(11)/2, 2]]`

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

Find a square matrix A of order 2 such that, A +[[4,-2],[0,5]]+[[-1,3],[-9,6]]=[[3,16],[7,8]]

Find the matrix X so that X[(1,2,3),(4,5,6)]=[(-7,-8,-9),(2,4,6)]

Find the matrices A and B for which: {:2A+B={:[(1,2,3),(-1,-2,-3),(4,2,3)] and A+2B={:[(0,2,3),(4,1,7),(1,1,5)]

If domain of f(x) is [1,3] , then the domain of f((log)_2(x^2+3x-2))i s a. [-5,-4]uu[1,2] b. [-13 ,-2]uu[3/5,5] c. [4,1]uu[2,7] d. {-3,2}

Find the matrix X so that X[1 2 3 4 5 6]=[-7-8-9""""""2""""""4""""6]

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)]:} .

Which of the following has/have value equal to zero? |[8, 2, 7],[ 12, 3, 5],[ 16, 4, 3]| b. |[1//a, a^2,b c],[1//b,b^2,a c],[1//c,c^2,a b]| c. |[a+b,2a+b,3a+b],[2a+b,3a+b,4a+b],[4a+b,5a+b,6a+b]| d. |[2, 43, 3],[ 7, 35, 4],[ 3, 17, 2]|

Show that (i) [(5,-1),(6,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(5,-1),(6,7)] (ii) [(1,2,3),(0,1,0),(1,1,0)][(-1,1,0),(0,-1,1),(2,3,4)] ne [(-1,1,0),(0,-1,1),(2,3,4)][(1,2,3),(0,1,0),(1,1,0)]

Find a square matrix A of order 2 such that, A((4,-2),(0,5)) + ((-1,3),(-9,6))=((3,16),(7,8)) ,

If |[x,3, 6],[ 3, 6,x],[6,x,3]|=|[2,x,7],[x,7, 2],[ 7, 2,x]|=|[4, 5,x],[5,x,4],[x,4, 5]|=0, then x is equal to a. 0 b. -9 c. 3 d. none of these

CENGAGE PUBLICATION-MATRICES-All Questions
  1. Evaluate int (1)/((x+1)sqrt(x-2))dx.

    Text Solution

    |

  2. (-A)^(-1) is always equal to (where A is nth-order square matrix) a. (...

    Text Solution

    |

  3. The matrix X for which [[1,-4],[ 3,-2]]X=[[-16-,6],[ 7 ,2]] is a.[[-2,...

    Text Solution

    |

  4. If A=[(0,-tan (alpha/2)),(tan (alpha/2),0)] and I is 2 xx 2 unit matri...

    Text Solution

    |

  5. Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "...

    Text Solution

    |

  6. If [[a, b],[ c,1-a]] is an idempotent matrix and f(x)=x-x^2 , bc=1/4 ...

    Text Solution

    |

  7. Let x be the solution set of equation A^x=I ,where A+[(0, 1,-1),(4,-3,...

    Text Solution

    |

  8. If A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]], find the values of al...

    Text Solution

    |

  9. Let a and b be two real numbers such that a > 1, b >1. If A=((a,0),(0,...

    Text Solution

    |

  10. Let f(x)=(1+x)/(1-x) . If A is matrix for which A^3=0,then f(A) is (a)...

    Text Solution

    |

  11. A and B are square matrices and A is non-singular matrix, then (A^(-1)...

    Text Solution

    |

  12. If A is a singular matrix, then adj A is

    Text Solution

    |

  13. The inverse of a diagonal matrix is a. a diagonal matrix              ...

    Text Solution

    |

  14. If P is non-singular matrix, then value of adj(P^(-1)) in terms of P i...

    Text Solution

    |

  15. If adjB=A ,|P|=|Q|=1, then. adj(Q^(-1)B P^(-1)) is a.P Q b. Q A P c...

    Text Solution

    |

  16. If A is non-singular and (A-2I)(A-4I)=0 , then ,1/6A+4/3A^(-1) is equa...

    Text Solution

    |

  17. If A(alpha,beta)=[[cosalpha,sinalpha,0],[-sinalpha,cosalpha,0],[ 0, 0,...

    Text Solution

    |

  18. If A and B are two square matrices such that B=-A^(-1)B A ,t h e n(A+B...

    Text Solution

    |

  19. A=[(1,tan x),(-tan x,1)] and f(x) is defined as f(x)= det. (A^(T)A^(-1...

    Text Solution

    |

  20. The equation [[1, 2 ,2 ],[1 ,3, 4],[ 2, 4,k]][(x) ,(y), (z)] =[(0),(0)...

    Text Solution

    |