Home
Class 12
MATHS
Find a matrix B of order 2xx2 such that ...

Find a matrix B of order `2xx2` such that :
`[{:(1,1),(-2,3):}]B=[{:(3,4),(-1,2):}]`

Text Solution

AI Generated Solution

To solve the problem of finding the matrix \( B \) such that \[ \begin{pmatrix} 1 & 1 \\ -2 & 3 \end{pmatrix} B = \begin{pmatrix} ...
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4a|6 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4b|23 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|23 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos

Similar Questions

Explore conceptually related problems

If A is square matrix of order 2xx2 such that A^(2)=I,B=[{:(1,sqrt(2)),(0,1):}] and C=ABA then

Find a matrix X of order 3xx2 such that 2A+3X=58B , where A=[[8,0],[4,-2],[3,6]], B=[[2,-2],[4,2],[-5,1]]

Find a 2x2 matrix B such that B[1-2 1 4]=[6 0 0 6]

Find a 2xx2 matrix B such that B[(1,-2),( 1, 4)]=[(6, 0),( 0, 6)] .

Given A=[{:(,1,4),(,2,3):}] and B=[{:(,-4,-1),(,-3,-2):}] (i) find the matrix 2A+B. (ii) find a matrix C such that : C+B=[{:(,0,0),(,0,0):}]

(i) if A+B=[{:(3,4),(-1,0):}]and A-B =[{:(1,2),(5,6):}], then find the matrix A and B. (ii) if X+Y=[{:(2,1),(1,2):}]and 2X-Y=[{:(1,2),(2,1):}] then find X and Y .

If A is skew-symmetric matrix of order 2 and B=[(1,4),(2,9)] and c[(9,-4),(-2,1)] respectively. Then A^3 BC + A^5B^2C^2 + A^7B^3C^3 +.....+A^(2n+1) B^n C^n where n in N is

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

Let A be a matrix of order 3xx3 such that |A|=3 . Let B=3A^(-1) and C =(adjA)/(2) , then the value of |A^(2)B^(3)C^(4)| is

Find a matrix X such that 2A+B+X=O , where A=[[-1, 2],[ 3, 4]] and B=[[3,-2] ,[1, 5]] .

NAGEEN PRAKASHAN ENGLISH-DETERMINANTS-Miscellaneous Exercise
  1. Find a matrix B of order 2xx2 such that : [{:(1,1),(-2,3):}]B=[{:(3,...

    Text Solution

    |

  2. Prove that the determinant [xsinthetacostheta-sintheta-x1costheta1x]is...

    Text Solution

    |

  3. Without expanding the determinant, prove that |a a^2b c bb^2c a cc^2a ...

    Text Solution

    |

  4. Ecaluate [{:(cosalphacosbeta,cosalphasinbeta,-sinalpha),(-sinbeta,co...

    Text Solution

    |

  5. " if a,b, and c are real number and " |{:(b+c,,c+a,,a+b),(c+a,,a+b,...

    Text Solution

    |

  6. Solve the following determinant equation: |[x+a, b, c], [c, x+b, a],...

    Text Solution

    |

  7. Using properties of determinants, prove that |[a^2, bc, ac+c^2] , [a^...

    Text Solution

    |

  8. If A^(-1)=[3-1 1-15 6-5 5-2 2] and B=[1 2-2-1 3 0 0-2 1] , find (A B)^...

    Text Solution

    |

  9. Let A=[{:(1,-2,1),(-2,3,1),(1,1,5):}]. Verify that ltbtgt (i) [adjA]^...

    Text Solution

    |

  10. Evaluate |x y x+y y x+y xx+y x y| .

    Text Solution

    |

  11. Evaluate the following: |[1,x,y],[1, x+y, y],[1, x, x+y]|

    Text Solution

    |

  12. Using properties of determinants. Prove that|alphaalpha^2beta+gammarho...

    Text Solution

    |

  13. For any scalar p prove that =|[x,x^2, 1+p x^3],[y, y^2, 1+p y^3],[z, z...

    Text Solution

    |

  14. show that |{:(3a,,-a+b,,-a+c),(-b+a ,,3b,,-b+c),( -c+a,, -c+b,,3c):}| ...

    Text Solution

    |

  15. Show that |(1, 1+p, 1+p+q), (2, 3+2p, 4+3p+2q), (3, 6+3p, 10+6p+3q)|=1...

    Text Solution

    |

  16. Show that |[sinalpha, cosalpha, cos(alpha+delta)],[sinbeta, cosbeta, ...

    Text Solution

    |

  17. Solve the system of equations2/x+3/y+(10)/z=4,4/x-6/y+5/z=1,6/x+9/y-(2...

    Text Solution

    |

  18. Choose the correct answer in questions 17 to 19: If a, b, c are in ...

    Text Solution

    |

  19. If x, y, z are non-zero real numbers, then the inverse of matrix A=[(...

    Text Solution

    |

  20. Let A=|1sintheta1-sintheta1sintheta-1-sintheta1|, where 0lt=thetalt=2p...

    Text Solution

    |