Home
Class 12
MATHS
The product of any matrix by the scalar ...

The product of any matrix by the scalar ……. Is the null matrix .

Text Solution

Verified by Experts

The correct Answer is:
`0`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (Type-III : (True or false questions))|34 Videos

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS |6 Videos

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (Type-I : (Multiple choice questions))|50 Videos

  • LINEAR PROGRAMMING

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |7 Videos

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -D )|6 Videos

Similar Questions

Explore conceptually related problems

Give an example of a matrix which is a scalar matrix which is not a unit matrix.

Fill in the blanks: If a matrix A is multiplied by the scalar, 0, then we obtain a ……….. Matrix.

True or False statements : If A is any matrix, then AA' is always a symmetric matrix.

If A is any square matrix, then

If the product of two matries is a zero matrix, it is not necessary that one of the matrices is a zero matrix.

If A and B are two mxxn matrices and O is the null matrix of the type mxxn , then show that: A +B = 0 rArr A = -B and B = -A

Let A and b are two square idempotent matrices such that ABpm BA is a null matrix, the value of det (A - B) cann vbe equal

If A is a symmetric matrix , then A^(3) is a …… matrix .

Let A = [a_(ij)] " be a " 3 xx3 matrix and let A_(1) denote the matrix of the cofactors of elements of matrix A and A_(2) be the matrix of cofactors of elements of matrix A_(1) and so on. If A_(n) denote the matrix of cofactros of elements of matrix A_(n -1) , then |A_(n)| equals

ACCURATE PUBLICATION-MATRICES-QUESTIONS CARRYING 1 MARK (Type-II : (Fill in the blanks questions))
  1. If order of matrix A is 3 xx 3 and order of matrix B is 3 xx 5, then o...

    Text Solution

    |

  2. If A=[{:(cos alpha, -sin alpha),(sin alpha,cos alpha):}] then A+A'=I, ...

    Text Solution

    |

  3. Choose the correct option in the question : If A = {:((3,2,1)):} the...

    Text Solution

    |

  4. Matrices A and B will be inverse of each other only if

    Text Solution

    |

  5. If A and B are two skew symmetric matrices of same order, then AB is s...

    Text Solution

    |

  6. If A and B are matrices of same order, then (3A-2 B) is equal to ……

    Text Solution

    |

  7. Addition of matrices is defined if order of the matrices is ……

    Text Solution

    |

  8. …….. Matrix is both symmetric and skew symmetric matrix .

    Text Solution

    |

  9. Sum of two skew symmetric matrices is always ……… matrix .

    Text Solution

    |

  10. The negative of a matrix is obtained by multiplying it by …….

    Text Solution

    |

  11. The product of any matrix by the scalar ……. Is the null matrix .

    Text Solution

    |

  12. A matrix which is not a square matrix is called a …. Matrix .

    Text Solution

    |

  13. Matrix multiplication is ……… over addition .

    Text Solution

    |

  14. If A is a symmetric matrix , then A^(3) is a …… matrix .

    Text Solution

    |

  15. If A is a skew symmetric matrix, then A^(2) is a ……

    Text Solution

    |

  16. If A and B are square matrices of the same order, then (i) (AB)= ……....

    Text Solution

    |

  17. If A is skew symmetric , then kA is a …….

    Text Solution

    |

  18. If A and B are symmetric matrices, then (i) AB-BA is a ……… . (ii) ...

    Text Solution

    |

  19. If A is symmetric matrix, then B' AB is …….. .

    Text Solution

    |

  20. If A and B are symmetric matrices of the same order, then show that AB...

    Text Solution

    |