Home
Class 12
MATHS
If A is a square matrix of order 2 such ...

If A is a square matrix of order 2 such that `A[(,1),(,-1)]=[(,-1),(,2)] and A^(2)[(,1),(,-1)]=[(,1),(,0)]` the sum of elements and product of elements of A are S and P, S + P is

A

(a)-1

B

(b)2

C

(c)4

D

(d)5

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix of order 3 such that abs(A)=2, then abs((adjA^(-1))^(-1)) is

Find a 2xx2 order matrix B such that [[2,3],[0,1]] B=[[12,11],[2,1]]

Express the matrix A=({:(2,1,3),(3,-2,1),(-1,3,1):}) as the sum of a symmetric and skew-symmetric matrix .

Write the order of the product matrix: {:[(1),(2),(3)] [2,3,4]

Let A = [(1,0,0), (2,1,0), (3,2,1)], and U_1, U_2 and U_3 are columns of a 3 xx 3 matrix U . If column matrices U_1, U_2 and U_3 satisfy AU_1 = [(1),(0),(0)], AU_2 = [(2),(3),(0)], AU_3 = [(2),(3),(1)] then the sum of the elements of the matrix U^(-1) is

if the product of n matrices [(1,1),(0,1)][(1,2),(0,1)][(1,3),(0,1)]…[(1,n),(0,1)] is equal to the matrix [(1,378),(0,1)] the value of n is equal to

What is the order of the product matrix? {:[(a),(b),(c )] [1,2,3]

Write name of element with the following electronic configuration : 1s2 2s2

ARIHANT MATHS-MATRICES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. If A is a square matrix of order 2 such that A[(,1),(,-1)]=[(,-1),(,2)...

    Text Solution

    |

  2. Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=...

    Text Solution

    |

  3. Evluate int 3x^2 dx

    Text Solution

    |

  4. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

    Text Solution

    |

  5. If A^(2)-A+I=O, then A^(-1) is equal to

    Text Solution

    |

  6. Let {:A=[(1,0,0),(2,1,0),(3,2,1)]:}and U1,U2,U3 be column matrices sat...

    Text Solution

    |

  7. Let A = [(1,0,0), (2,1,0), (3,2,1)], and U1, U2 and U3 are columns of ...

    Text Solution

    |

  8. If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U(2), and U(3) are column matri...

    Text Solution

    |

  9. Let A=[{:(1,2),(3,4):}]and B = [{:(a,0),(0,b):}] where a, b are natura...

    Text Solution

    |

  10. If A and B are square matrices of size nxxn such that A^2-B^2 = (A-B)(...

    Text Solution

    |

  11. Let A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] . If |A^2|...

    Text Solution

    |

  12. Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "...

    Text Solution

    |

  13. Let A be a square matrix all of whose entries are integers. Then wh...

    Text Solution

    |

  14. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identi...

    Text Solution

    |

  15. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  16. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  17. The number of 3xx3 matrices A whose are ether 0 or 1 and for which t...

    Text Solution

    |

  18. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

    Text Solution

    |

  19. The number of 3xx3 matrices a whose entries are either 0 or 1 and for ...

    Text Solution

    |

  20. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

    Text Solution

    |

  21. Let p be an odd prime number and T(P) be the following set of 2xx2 m...

    Text Solution

    |