Home
Class 12
MATHS
If A=[{:(" "1," "0,-2),(" "3,-1," "0),(-...

If `A=[{:(" "1," "0,-2),(" "3,-1," "0),(-2," "1," "1):}],B=[{:(" "0,5,-4),(-2,1," "3),(-1,0," "2):}]" and "C=[{:(" "1," "5,2),(-1," "1,0),(" "0,-1,1):}],`
verify that `A(B-C)=(AB-AC).`

Text Solution

Verified by Experts

The correct Answer is:
`|(1,-2,-8),(-2,0,-21),(0,1,16)|`
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR MARK QUESTIONS|41 Videos

  • MATRICES AND DETERMINANTS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|20 Videos

  • MATRICES AND DETERMINANTS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|20 Videos

  • LINEAR PROGRAMMING

    CBSE COMPLEMENTARY MATERIAL|Exercise ONE MARKS QUESTIONS|8 Videos

  • PRACTICE PAPER I

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

Similar Questions

Explore conceptually related problems

Let A=[{:(1,-2),(5," "4),(3," "0):}],B=[{:(" "3," "1),(" "0," "2),(-3," "5):}]" and "C=[{:(" "4," "3),(-2," "2),(" "1," "6):}]. Verify that (A+B)+C=A+(B+C).

If A=[{:(3," "5),(-2," "0),(6,-1):}],B=[{:(-1,-3),(4," "2),(-2," "3):}]" and "C=[{:(0," "2),(3,-4),(1," "6):}], Verify that (A+B)+C=A+(B+C).

If A=[{:(" "2,-3,5),(-1," "0,3):}]" and "B=[{:(3,2,-2),(4,-3," "1):}] , verify that (A+B)=(B+A).

If A=[{:(" "1,-1," "2),(" "3," "2," "0),(-2," "0," "1):}],B=[{:(3,1),(0,2),(-2,5):}]" and "C=[{:(2,1,-3),(3,0,-1):} then verify that (AB)C=A(BC).

If A=[{:(3,2),(1,0):}],B=[{:(1,-2,5),(0,7,3):}]" and "C=[{:(8,1,-6),(2,-5,0):}] , verify that A(B+C)=(AB+AC).

If A=[{:(2, 1,),(4,2,)],B =[{:(2,3,4),(1,4,0):}] and C=[{:(-1,2,1),(1,0,2):}] then veri fy that A(B+C)=(AB+AC) .

if A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[{:(3,-1,2),(4,2,5),(2,0,3):}]and c=[{:(4,1,2),(0,3,2),(1,-2,3):}], then compure (A+B) and (B-C), Also , verify that A+(B-C)=(A+B)-C.

Let A=[{:(0,1,-2),(5,-1,-4):}],B=[{:(1,-3,-1),(0,-2," "5):}]" and "C=[{:(2,-5,1),(-4," "0,6):}]. Compute 5A-3B+4C.

Compute AB and BA, whichever exists when (i) A=[{:(2,-1),(3," "0),(-1," "4):}]" and "B=[{:(-2,3),(0,4):}] (ii) A=[{:(-1,1),(-2,2),(-3,3):}]" and "B=[{:(" "3,-2," "1),(" "0," "1," "2),(-3," "4,-5):}] (iii) A=[{:(0,1,-5),(2,4," "0):}]" and "B=[{:(1,3),(-1,0),(0,5):}] (iv) A=[1" "2" "3" "4]" and "B=[{:(1),(2),(3),(4):}] (v) A=[{:(2,1),(3,2),(-1,1):}]" and "B=[{:(1,0,1),(-1,2,1):}]

CBSE COMPLEMENTARY MATERIAL-MATRICES AND DETERMINANTS-TWO MARK QUESTIONS
  1. Construct a matrix of order 2xx3, whose elements are given by (a) aij...

    Text Solution

    |

  2. If A(x(1),y(1)),B(x(2),y(2))andC(x(3),y(3)) are vertices of on equilat...

    Text Solution

    |

  3. Show that the elements on the main diagonal of a skew-symmetric mat...

    Text Solution

    |

  4. Find the value of x and y, when (i) [{:(x+y),(x-y):}]=[{:(8),(4):}] ...

    Text Solution

    |

  5. If A and B are symmetric matrices of the same order, show that AB+BA i...

    Text Solution

    |

  6. Show that |[0,p-q,p-r] , [q-p, 0, q-r] , [r-p, r-q, 0]|=0

    Text Solution

    |

  7. Let A=[(2,5),(4,6)] Prove that A+A^T is symmetric matrix

    Text Solution

    |

  8. If A=[(2),(3),(5)]andB=["1 2 3"], Verify (AB)'=B'A'

    Text Solution

    |

  9. If A=[{:(" "1," "0,-2),(" "3,-1," "0),(-2," "1," "1):}],B=[{:(" "0,5,-...

    Text Solution

    |

  10. If A=[1 3 2 1] , find the determinant of the matrix A^2-2A .

    Text Solution

    |

  11. Without expanding evaluate the determinant =|265 240 219 240 225 19...

    Text Solution

    |

  12. If D(1)=|(a,b,c),(x,y,z),(l,m,n)|andD(2)=|(m,-b,y),(-l,a,-x),(n,-c,z)|...

    Text Solution

    |

  13. If A is a skew-symmetric matrix of odd order n , then |A|=0

    Text Solution

    |

  14. Write the minors and co-factors of each elements of the first column o...

    Text Solution

    |

  15. For what values of x and y are the following matrices equal ? A=[(2x...

    Text Solution

    |

  16. If A=[(2,-2),(4,2),(-5,1)],B=[(8,0),(4,-2),(3,6)], find matrix 'C', su...

    Text Solution

    |

  17. If A=[(x,0),(1,1)]andB=[(1,0),(5,1)] find x such that A^(2)=B.

    Text Solution

    |

  18. Construct a matrix of order 3xx2, whose elements a(ij) given by aij ...

    Text Solution

    |