Home
Class 12
MATHS
Compute the indicated products: (i) [(a...

Compute the indicated products:
(i) `[(a,b),(-b,a)][(a,-b),(b,a)]`
(ii) `[(1),(2),(3)][(2,3,4)]`
(iii) `[(1,-2),(2,3)][(1,2,3),(2,3,1)]`
(iv) `[(2,3,4),(3,4,5),(4,5,6)][(1,-3,5),(0,2,4),(3,0,5)]`
(v) `[(2,1),(3,2),(-1,1)][(1,0,1),(-1,2,1)]`
(vi) `[(3,-1,3),(-1,0,2)][(2,-3),(1,0),(3,1)]`

Text Solution

Verified by Experts

The correct Answer is:
(i) `=[{:(a^(2)+b^(2),0),(0,a^(2)+b^(2)):}]`
(ii) `=[{:(2,3,4),(4,6,8),(6,9,12):}]`
(iii) `=[{:(-3,-4,1),(8,13,9):}]`
(iv) `=[{:(14,0,42),(18,-1,56),(22,-2,70):}]`
(vi) `=[{:(14,-6),(4,5):}]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    KUMAR PRAKASHAN|Exercise EXERCISE -3.3|11 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise EXERCISE -3.4|18 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

Similar Questions

Explore conceptually related problems

Compute the indicated products : (1) [{:(3,-1,4),(2,3,1):}][{:(1,3,4),(2,1,0),(-3,2,3):}] (2) [{:(1,3),(2,1):}][{:(4),(-1):}] (3) [{:(1,4,2),(5,-2,3):}][{:(2,-4),(1,-3),(4,0):}] (4) [1" "2," "3][{:(2),(4),(6):}] (5) [{:(2),(4),(6):}][1" "2," "3]

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):}]

Given A=[(1,1,1),(2,4,1),(2,3,1)], B=[(2,3),(3,4)]. Find P such that BPA= [(1,0,1),(0,1,0)]

Find the transpose of each of the following matrices : (i) [{:(5),((1)/(2)),(-1):}] (ii) [{:(1,-1),(2,3):}] (iii) [{:(-1,5,6),(sqrt(3),5,6),(2,3,-1):}]

If A^(-1)=[{:(-4,2),(3,-1):}]and B=[{:(0,3),(-2,5):}] then find (AB)^(-1)

KUMAR PRAKASHAN-MATRICES -EXERCISE -3.2
  1. Let A=[{:(2,4),(3,2):}],B=[{:(1,3),(-2,5):}],C=[{:(-2,5),(3,4):}] ...

    Text Solution

    |

  2. Compute the following : (i) [{:(a,b),(-b,a):}]+[{:(a,b),(b,a):}] ...

    Text Solution

    |

  3. Compute the indicated products: (i) [(a,b),(-b,a)][(a,-b),(b,a)] (i...

    Text Solution

    |

  4. If A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[{:(3,-1,2),(4,2,5),(2,0,3):}]a...

    Text Solution

    |

  5. If A=[{:((2)/(3),1,(5)/(3)),((1)/(3),(2)/(3),(4)/(3)),((7)/(3),2,(2)/(...

    Text Solution

    |

  6. Simplify : costheta[{:(costheta,sintheta),(-sintheta,costheta):}]+s...

    Text Solution

    |

  7. Find X and Y,if X+Y=[{:(5,2),(0,9):}]andX-Y=[{:(3,6),(0,-1):}].

    Text Solution

    |

  8. Find X , if Y=[{:(3,2),(1,4):}]and2X+Y=[{:(1,0),(-3,2):}].

    Text Solution

    |

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

    Text Solution

    |

  10. Solve the equation for x,y,z and t,if 2[{:(x,z),(y,t):}]+3[{:(1,-1),(0...

    Text Solution

    |

  11. If x[{:(2),(3):}]+y[{:(-1),(1):}]=[{:(10),(5):}], find thevalues of x ...

    Text Solution

    |

  12. Given 3[{:(x,y),(z,w):}]=[{:(x,6),(-1,2w):}]+[{:(4,x+y),(z+w,3):}], fi...

    Text Solution

    |

  13. If F(x)=[{:(cosx,-sinx,0),(sinx,cosx,0),(0,0,1):}],show that F(x)F(y)=...

    Text Solution

    |

  14. Show that (i) [{:(5,-1),(6,7):}][{:(2,1),(3,4):}]ne[{:(2,1),(3,4):}]...

    Text Solution

    |

  15. Find A^(2)-5A+6I, if A=[{:(2,0,1),(2,1,3),(1,-1,0):}].

    Text Solution

    |

  16. If A=[{:(1,0,2),(0,2,1),(2,0,3):}] then , prove that A^(3)-6A^(2)+7...

    Text Solution

    |

  17. If A=[{:(3,-2),(4,-2):}]andI=[{:(1,0),(0,1):}], find k so that A^(2)=...

    Text Solution

    |

  18. If A=[{:(0,"tan"(alpha)/(2)),("tan"(alpha)/(2),0):}]and I theidentity ...

    Text Solution

    |

  19. A trust fund has Rs. 30,000 that must be invested in two different typ...

    Text Solution

    |

  20. The bookshop of a particular school has 10 dozen chemistry books , 8 d...

    Text Solution

    |