Home
Class 12
MATHS
Out of the following matrices, choose...

Out of the following matrices, choose that matrix which is a scalar matrix: a) `[(0 ,0),( 0, 0)]` (b) `[(0, 0, 0),( 0 ,0, 0)]` (c) `[(0, 0),( 0, 0),( 0 ,0)]` (d) `[(0),(0),( 0) ]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

If A=[(1,0),(0,1)] then A^4= (A) [(1,0),(0,1)] (B) [(1,1),(0,10)] (C) [(0,0),(1,1)] (D) [(0,1),(1,0)]

The trnsformation orthogonal projection on X-axis is given by the matrix (A) [(0,1),(0,0)] (B) [(0,0),(0,1)] (C) [(0,0),(1,0)] (D) [(1,0),(0,0)]

The matrix [{:(1,0,0),(0,2,0),(0,0,4):}] is a

Show that A is a symmetric matrix if A= [ (1,0), (0, -1)]

Which of the following matrices have eigen values as 1 and -1 ? (a) [(0,1),(1,0)] (b) [(0,1),(1,0)] (c) [(1,0),(0,-1)] (d) [(1,0),(0,1)]

Matrix [{:(1,0),(0,1):}] is :

The transformation due of reflection of (x,y) through the origin is described by the matrix (A) [(0,0),(0,0)] (B) [(1,0),(0,1)] (C) [(1,0),(0,-1)] (D) [(0,-1),(-1,0)]

Which of the following is (are) NOT the square of a 3xx3 matrix with real entries? [1 0 0 0 1 0 0 0-1] (b) [-1 0 0 0-1 0 0 0-1] [1 0 0 0 1 0 0 0 1] (d) [1 0 0 0-1 0 0 0-1]

If A=[(i,0), (0,i)],\ n in N , then A^(4n) equals [(0,i), (i,0)] (b) [(0 ,0) ,(0, 0)] (c) [(1, 0) ,(0, 1)] (d) [(0,i) ,(i,0)]

Let A=[(a,0, 0),( 0,a,0),( 0, 0,a)] , then A^n is equal to [(a^n,0, 0),( 0,a^n,0),(0, 0,a)] (b) [(a^n,0 ,0),( 0,a,0 ),(0, 0,a)] (c) [(a^n,0, 0),( 0,a^n,0),( 0, 0,a^n)] (d) [(n a,0, 0),( 0,n a,0 ),(0, 0,n a)]

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A=[costheta-sinthetasinthetacostheta] , then A^T+A=I2 , if theta=np...

    Text Solution

    |

  2. If A=[(2, 0,-3),( 4, 3, 1),(-5, 7, 2)] is expressed as the sum of a s...

    Text Solution

    |

  3. Out of the following matrices, choose that matrix which is a scalar...

    Text Solution

    |

  4. The number of all possible matrices of order 3xx3 with each entry 0...

    Text Solution

    |

  5. Which of the given values of x and y make the following pairs ...

    Text Solution

    |

  6. If A=[(0, 2),( 3,-4)] and k A=[(0, 3a),(2b, 24)] , then the values o...

    Text Solution

    |

  7. If I=[(1 ,0),( 0, 1)] , J=[(0, 1),(-1 ,0)] and B=[(costheta,sintheta...

    Text Solution

    |

  8. The trace of the matrix A=[(1,-5, 7),( 0, 7, 9),( 11 ,8, 9)] is (...

    Text Solution

    |

  9. If A=[a(i j)] is a scalar matrix of order nxxn such that a(i i)=k f...

    Text Solution

    |

  10. The matrix A=[[0, 0, 4] ,[0 ,4, 0] ,[4 ,0, 0]] is a (a) square matrix...

    Text Solution

    |

  11. The number of possible matrices of order 3xx3 with each entry 2 or ...

    Text Solution

    |

  12. If [2x+y,4x,5x-7 4x]=[7 7y-13 y x+6] , then the value of x+y is x=3 , ...

    Text Solution

    |

  13. If A is a square matrix such that A^2=I , then (A-I)^3+(A+I)^3-7A is...

    Text Solution

    |

  14. If A and B are two matrices of the order 3 xx m and 3 xx n, respective...

    Text Solution

    |

  15. If A is a matrix of order mxxn and B is a matrix such that A B^T and B...

    Text Solution

    |

  16. If A and B are matrices of the same order, then A B^T-B A^T is a (a)...

    Text Solution

    |

  17. If matrix A=([a(i j)])(2xx2) , where a(i j)={1,\ if\ i!=j0,\ if\ i=j ,...

    Text Solution

    |

  18. If A=1/pi[[sin^(-1)(pix),tan^(-1)(x/pi)], [sin^(-1)(x/pi),cot^(-1)(pix...

    Text Solution

    |

  19. If A and B are square matrices of the same order, then (A+B)(A-B) i...

    Text Solution

    |

  20. If A=[(2,-1,3),( -4,5 ,1)] and B=[(2 ,3 ),( 4,-2),( 1 ,5)] , then ...

    Text Solution

    |