Home
Class 12
MATHS
Given A=[(1,1,1),(2,4,1),(2,3,1)], B=[(...

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)]`

Text Solution

AI Generated Solution

To solve the problem, we need to find the matrix \( P \) such that \( BPA = \begin{pmatrix} 1 & 0 & 1 \\ 0 & 1 & 0 \end{pmatrix} \). ### Step-by-step Solution: 1. **Understand the relationship**: We know that \( BPA = C \), where \( C = \begin{pmatrix} 1 & 0 & 1 \\ 0 & 1 & 0 \end{pmatrix} \). To isolate \( P \), we can rearrange this equation to find \( P \): \[ P = B^{-1} C A^{-1} \] ...
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|9 Videos
  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|19 Videos
  • MATHEMATICAL INDUCTION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|29 Videos

Similar Questions

Explore conceptually related problems

Given, A=[{:(1,3,5),(-2,0,2),(0,0,-3):}], B = [{:(0,3),(-2,0),(0,-4):}] and C=[{:(4,1,-2),(3,2,1),(2,-1,7):}], find (whichever defined) (i)A+B. (ii)A+C.

Given A=[{:(,2,1),(,3,0):}], B=[(1,1),(5,2)] and C=[{:(,-3,-1),(,0,0):}] , find (i) 2A-3B+C (ii) A+2C-B

if A=[{:(4,0,-3),(1,2,0):}]and B=[{:(2,1),(1,-2),(3,4):}]' then find AB and BA.

Let A={:[(1,2,3),(0,1,0)]:}andB={:[(-1,4,3),(1,0,0)]:} Find 2A +3B.

if A=[{:(1,6),(2,4),(-3,5):}]B=[{:(3,4),(1,-2),(2,-1):}], then find a matrix C such that 2A-B+c=0

Given A=[{:(,1,2),(,-2,3):}], B=[{:(,-2,-1),(,1,2):}] and C=[{:(,0,3),(,2,-1):}] , find A+2B-3C.

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

If A=[(-1,0,2),(3,1,4)], B=[(0,-2,5),(1,-3,1)] and C=[(1,-5,2),(6,0,-4)], then find (2A-3B+4C).

Find AB and BA if exists from the following matrices A and B: (i) A=[{:(2,3,-1),(0,1,2):}]and B=[{:(2,-6),(-4,0):}] (ii) A=[{:(1,2,3),(0,1,-2),(-1,0,-1):}]and B=[{:(0,0,2),(2,0,0),(0,2,0):}] (iii) A=[{:(0,3,4),(2,1,-2),(1,-3,-1):}]and B=[{:(2,1,3),(-1,0,-2):}]

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

ARIHANT MATHS ENGLISH-MATRICES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Given A=[(1,1,1),(2,4,1),(2,3,1)], B=[(2,3),(3,4)]. Find P such tha...

    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. about to only mathematics

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

    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 mat...

    Text Solution

    |