Home
Class 12
MATHS
If AB=AandBA=B then A^(2)+B^(2)= ……….....

If `AB=AandBA=B` then `A^(2)+B^(2)=` ………..

A

`A+B`

B

`-(A+B)`

C

`(2A+B)`

D

`(A+2B)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK |28 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|48 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |55 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

if AB = A and BA = B, then

Show that if A and B are square matrics such that AB=BA , then (A+B)^(2)=A^(2)+2AB+B^(2) .

For square matrices A and B , AB=A and BA =B, then prove that A^(2)=AandB^(2)=B .

Satement-1 : If secx + cos x =2 then (sec x)^(n)+(cos x)^(n)=2 . because Statement-2 : If A+B=2 and AB=1 then A=B=1 .

If possible , find BA and AB , where A=[{:(2,1,2),(1,2,4):}],B=[{:(4,1),(2,3),(1,2):}]

Find the slope of bar(AB) , where A(2, 1), B(2, 6)

If A=[{:(2,-1),(2,1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)+2AB then ………….

The dimensional formula of product and quotient of two physical quantities A and B are given by [AB]=[ML^(2)T^(-2)], [A/B]=[MT^(-2)] . The quantities A and B respectively are

In a quadrilateral ABCD, /_B= 90^(@)" and "AD^(2)= AB^(2)+BC^(2)+CD^(2) . Prove that /_ACD= 90^(@) .

Statement-1 For a singular matrix A , if AB = AC rArr B = C Statement-2 If abs(A) = 0, then A^(-1) does not exist.

KUMAR PRAKASHAN-MATRICES -TEXTBOOK BASED MCQS
  1. C is a skew symmetric matrix of order n. X is a column matrix of order...

    Text Solution

    |

  2. If A^(2)=A then (I+A)^(4)=.........

    Text Solution

    |

  3. If AB=AandBA=B then A^(2)+B^(2)= ………..

    Text Solution

    |

  4. If A is any square matrix then AA' is a ………. Matrix.

    Text Solution

    |

  5. If A and B are square matrices of same order then (A^(-1)BA)^(n)= ………...

    Text Solution

    |

  6. A=[{:(0,1,2),(1,2,3),(3,a,1):}]and A^(-1)=[{:(1/2,-1/2,1/2),(-4,3,c),(...

    Text Solution

    |

  7. [{:((1)/(25),0),(x,(1)/(25)):}]=[{:(5,0),(-a,5):}]^(-2) then x =………..

    Text Solution

    |

  8. [1" "x" "1][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(x):}]=0 then x=……...

    Text Solution

    |

  9. A is a 3xx4 matrix .A matrix B is such that A'B and BA' are defined . ...

    Text Solution

    |

  10. P is a 2xx2 matrix . P'=P^(-1) then P=……..

    Text Solution

    |

  11. A is a 3xx3 matrix , then |3A|=....|A|.

    Text Solution

    |

  12. If A=[a(ij)](nxxn) such that a(ij)=0, for i nej then , A is …….. (a(...

    Text Solution

    |

  13. A=[{:(0,0,-1),(0,-1,0),(-1,0,0):}],the correct statement is ......

    Text Solution

    |

  14. If A is skew -symmetric 3xx3 matrix , |A| =……..

    Text Solution

    |

  15. The system of equations ax+y+z=a-1,x+ay+z=a-1andx+y+az=a-1 does not h...

    Text Solution

    |

  16. If A=[{:(a,b),(b,a):}]andA^(2)=[{:(x,y),(y,x):}] then , x=……, y=…….

    Text Solution

    |

  17. If alphaandbeta are not the multiple of (pi)/(2)and [{:(cos^(2)alpha,c...

    Text Solution

    |

  18. If [{:(x,0),(1,y):}]-[{:(2,-4),(-3,-4):}]=[{:(3,5),(6,3):}]-[{:(2,1),(...

    Text Solution

    |

  19. If inverse of A=[{:(1,-1,1),(2,1,-3),(1,1,1):}]is (1)/(10)[{:(4,2,2),(...

    Text Solution

    |

  20. If AB=BAandA=[{:(1,1),(0,1):}]then, B=......

    Text Solution

    |