Home
Class 12
MATHS
If A is any matrix and k any scalar, the...

If A is any matrix and k any scalar, then prove that (-k) A = -(kA) = K(-A)

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    PRADEEP PUBLICATION|Exercise EXERCISE|335 Videos

  • LINEAR PROGRAMMING

    PRADEEP PUBLICATION|Exercise EXERCISE|135 Videos

  • MODEL PAPER (1)

    PRADEEP PUBLICATION|Exercise EXERCISE|35 Videos

Similar Questions

Explore conceptually related problems

If A is any square matrix, then

If A is any square matrix then A + A' is a :

Let A be a square matrix of order 3xx3 , then prove that |kA|=k|A|.

If A is a 3xx3 matrix and |3A | = k |A|, then write the value of k.

Let A be a square matrix and K be a scalar. Prove that : If A is skew-symmetric, then kA is Skew-symmetric.

Let A be a square matrix and K be a scalar. Prove that : If A is symmetric, then kA is symmetric.

If A is any square matrix, prove that (A^n)' = (A')^n , where n is any positive integer.

If P is any square matrix, then the matrix (P+P^(T)) will be:

If A is any of square matrix of order n, then A (adj A) is equal to

Fill in the blanks: If k is any sclar and A is any matrix, then (k A)' = ………..

PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. If A = [(5,3),(4,2)], B = [(1,1),(-1,2)], C = [(-3,2),(-7,5)] find 2 A...

    Text Solution

    |

  2. If A = [(3,8,0),(1,6,7),(0,2,-5)] and B = [(-1, 6 ,9),(3,0,4),(2,3,11)...

    Text Solution

    |

  3. If A is any matrix and k any scalar, then prove that (-k) A = -(kA) = ...

    Text Solution

    |

  4. If A and B are matrices of the same order, then prove that -(A + B) = ...

    Text Solution

    |

  5. Find x and y if 2[(1,3),(0,x)] + [(y,0),(1,2)] = [(5,6),(1,8)]

    Text Solution

    |

  6. Find x, y if 3[(4,2),(1,3)] - 2[(-2,1),(3,2)] + [(x , - 4),(3,y)] = 0

    Text Solution

    |

  7. Find the vlaues of a,b,c and d if 3[(a,b),(c,d)] = [(a,6),(-1,2d)] + [...

    Text Solution

    |

  8. Find non-zero values of 'x', satisfying the matrix equation: x{:[(2x...

    Text Solution

    |

  9. If A = {:[(1,-3,2),(2,0,2)], B = [(2,-1,-1),(1,0,-1)], find the matrix...

    Text Solution

    |

  10. If A = [(7,8),(1,9)] and B = [(7,12),(5,1)], find the matrix C such th...

    Text Solution

    |

  11. Find the matrix 'X' and 'Y' if: 2X + 3Y = {:[(2,3),(4,0)] and 3X - 2Y ...

    Text Solution

    |

  12. Find X and Y if X+Y=[(5,2),(0,9)] and X=Y=[(3,6),(0,-1)]

    Text Solution

    |

  13. Find a matrix X such that 2A - B + X = O, where A = [(3,1),(0,2)], B =...

    Text Solution

    |

  14. Find the matrix A so that [(1,2,-3),(0,4,1)] + A = [(3,5,6),(-1,0,3)].

    Text Solution

    |

  15. Find matrices X and Y is 2X - Y = [(6,-6,0),(-4,2,1)] and X + 2Y =...

    Text Solution

    |

  16. If A - B = [(1,1,1),(1,1,0),(1,0,0)] and A + B = [(3,5,7),(-1,1,4),(11...

    Text Solution

    |

  17. If A = [(9, 1),(7,8)] and B = [(1,5),(7,12)], find the matrix C such t...

    Text Solution

    |

  18. Two farmers Ramkishan and Gurcharan singh cultivate only the varieties...

    Text Solution

    |

  19. Two farmers Ramkishan and Gurcharan singh cultivate only the varieties...

    Text Solution

    |

  20. Two farmers Ramkishan and Gurcharan singh cultivate only the varieties...

    Text Solution

    |