Home
Class 12
MATHS
If A=[[i,-i],[-i ,i]] and B=[[1,-1],[-1 ...

If `A=[[i,-i],[-i ,i]] and B=[[1,-1],[-1 ,1]], t hen ,A^8` equals a.`4B` b. `128 B` c. `-128 B` d. `-64 B`

Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

  • METHODS OF DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

if AB=[[i,-i],[-i,i]] and B=[[1,-1],[-1,1]] , then show that A^8=128B

If A={:[(i,i),(-i,i)] and B={:[(1,-1),(-1,1)] then show that A^(8)=128 B .

If A=({:(i,-i),(-i,i):})" and "B=({:(1,-1),(-1,1):}) , then show that A^8=128B .

If A={:[(0,-1),(1,0)]:} and B={:[(0,i),(i,0)]:} , then

If A = [[2,-1],[3,2]] and B = [[0,4],[-1,7]] then determine the matric 3A^2-2B+I .

If A={:[(i,-i),(-i,i)]:} and B={:[(1,-1),(-1,1)]:} then the value of A^(4)=KB, find the value of K.

If A={:[(2,-1),(3,2)]:} and B={:[(0,4),(-1,7)]:}, find 3A^(2)-2B+I

If A=[[a+i b, c+i d],[-c+i d, a-i b]] and a^2+b^2+c^2+d^2=1,t h e n ,A^(-1) is equal to a. [[a+i b,-c+i d],[c+i d, a-i b]] b. [[a-i b,-c-i d],[-c-i d, a+i b]] c. [[a+i b,-c-i d],[-c+i d, a-i b]] d. none of these

If A is non-singular and (A-2I)(A-4I)=0 , then ,1/6A+4/3A^(-1) is equal to a. 0I b. 2I c. 6I d. I

If A={:((1,i),(-i,1))and B={:((i,-1),(-1,-i)), find AB and BA(i=sqrt(-1)).

CENGAGE PUBLICATION-MATRICES-All Questions
  1. Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...

    Text Solution

    |

  2. Let omega be a complex cube root of unity with omega!=1a n dP=[p(i j)]...

    Text Solution

    |

  3. If A=[[i,-i],[-i ,i]] and B=[[1,-1],[-1 ,1]], t hen ,A^8 equals a.4B b...

    Text Solution

    |

  4. If [[2,-1],[1,0],[-3,4]]A=[[-1,-8,-10],[1,-2,-5],[9,22,15]] , then sum...

    Text Solution

    |

  5. If A = 1/ sqrt(3) [[1,1+i],[1-i,1]] then A((A)^T) equals :

    Text Solution

    |

  6. Identify the incorrect statement in respect of two square matrices Aa ...

    Text Solution

    |

  7. If A is a square matrix such that A^2=A , then write the value of 7A-(...

    Text Solution

    |

  8. If A and B are square matrices of order n , then prove that Aa n dB wi...

    Text Solution

    |

  9. Matrix A such that A^2=2A-I ,w h e r eI is the identity matrix, the fo...

    Text Solution

    |

  10. Let A=[(0,alpha),(0,0)] and (A+I)^(50)=50 A=[(a,b),(c,d)] Then the val...

    Text Solution

    |

  11. If e^(A) is defined as e^(A)=I+A+A^(2)/(2!)+A^(3)/(3!)+...=1/2 [(f(x),...

    Text Solution

    |

  12. Prove that matrix [((b^(2)-a^(2))/(a^(2)+b^(2)),(-2ab)/(a^(2)+b^(2))),...

    Text Solution

    |

  13. If A=[(a,b),(c,d)], where a, b, c and d are real numbers, then prove t...

    Text Solution

    |

  14. If A=([a(i j)])(nxxn) is such that ( a )(i j)=bar (a(j i)),AAi ,j and...

    Text Solution

    |

  15. Find the possible square roots of the two rowed unit matrix I.

    Text Solution

    |

  16. Prove the orthogonal matrices of order two are of the form [(cos theta...

    Text Solution

    |

  17. Let A=[("tan"pi/3,"sec" (2pi)/3),(cot (2013 pi/3),cos (2012 pi))] and ...

    Text Solution

    |

  18. Consider, A=[(a,2,1),(0,b,0),(0,-3,c)], where a, b and c are the roots...

    Text Solution

    |

  19. If A and B are square matrices of order 3 such that |A| = 3 and |B| = ...

    Text Solution

    |

  20. If a matrix has 28 elements, what are the possible orders it can have ...

    Text Solution

    |