Home
Class 12
MATHS
Given A=[{:(1 " "-1 " "1),(1 " "-2 ...

Given `A=[{:(1 " "-1 " "1),(1 " "-2 " "-2),(2 " "1 " "3):}] and B=[{:(-4 " "4" "4),(-7 " "1 " "3),(5 " "-3 " "-1):}]`, find AB and use this result in solving the following system of equation
x-y+z=4,
x-2y-2z=9
2x+2y+3z=1

Text Solution

AI Generated Solution

To solve the problem step by step, we will first calculate the product of matrices A and B, and then use that result to solve the system of linear equations. ### Step 1: Define the Matrices A and B Matrix A is given as: \[ A = \begin{pmatrix} 1 & -1 & 1 \\ ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise EXERCISE 8A|39 Videos

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise EXERCISE 8A (USING MATRICES ,SOLVE THE FOLLOWING SYSTEM OF EQUATIONS.)|2 Videos

  • STRAIGHT LINE IN SPACE

    RS AGGARWAL|Exercise Objective Questions|19 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Objective Questions|35 Videos

Similar Questions

Explore conceptually related problems

Given A=[[1,-1, 0], [2, 3, 4], [0, 1, 2]], B= [[2,2,-4],[-4,2,-4],[2,-1,5]] find AB and use this to solve the system of equations: y+2x=7,x-y=3,2x+3y+4z=17

If A=[(1,-1,1),(1,-2,-2),(2,1,3)] and B=[(-4,4,4),(-7,1,3),(5,-3,-1)] Find AB and hence find the solution of the following system of linear equations.

(1)/(4)" " (1)/(2) " "(3)/(4)" "1" "1(1)/(4)" "1(1)/(2)" "1(3)/(4) ?

What will come next in the series given below ? 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 6 1 2 3 4 5 6 7 1 2 3 4 5 1) 1 2) 5 3) 6 4) 2 5) None of these

If A=[2-1 3 1] and B=[1 4 7 2], find 3A-2Bdot

If A=[{:(2,-3,1),(0," "7,-9):}]" and "B=[{:(1,2,-3),(4,8,-4):}]," find "(A-B)

If A=[[1, 2, 3], [-1, 1, 2], [1, 2, 4]], B=[[1], [2], [3]] and AX=B , then X=

In the following list of numerals, how many 2's are followed by 1's but not preceded by 4 ? 4 2 1 2 1 4 2 1 1 2 4 4 4 1 2 2 1 2 1 2 1 4 4 2 1 4 2 1 2 1 2 4 1 4 2 1 2 4 1 4 6 1) 2 2) 3 3) 4 4) 5 5) None of these

Find the mode of the given set of numbers 2, 2, 4, 4, 3, 5, 1, 2 1, 1, 2, 4, 3, 2, 1,

If A[{:(3,-4),(1,1),(2,0):}] and B=[{:(2,1,2),(1,2,4):}] , then verify AB = BA or not?

RS AGGARWAL-SYSTEM OF LINEAR EQUATIONS-Objective Questions
  1. Given A=[{:(1 " "-1 " "1),(1 " "-2 " "-2),(2 " "1 " "3)...

    Text Solution

    |

  2. If A and B are 2-rowed square matrics such that (A+B)=[(4,-3),(1,6)]...

    Text Solution

    |

  3. If [(3,-2),(5,6)]+2A=[(5,6),(-7,10)] then A=?

    Text Solution

    |

  4. IfA=[(2,0),(-3,1)] and B=[(4,-3),(-6,2)] are such that 4A+3X=5B then x...

    Text Solution

    |

  5. If (A-2B)=[(1,-2),(3,0)] and (2A-3B)=[(-2,2),(3,-3)] then B=?

    Text Solution

    |

  6. Find matrices A and B, if 2A - B = [[6, -6, 0], [-4, 2, 1]] and 2B + ...

    Text Solution

    |

  7. If 2[(3,4),(5,x)]+[(1,y),(0,1)]=[(7,0),(10,5)] then

    Text Solution

    |

  8. If [(x-y,2x-y),(2x+z,3z+w)]=[(-1,0),(5,13)]

    Text Solution

    |

  9. Solve for x and y, given that [{:(x,y),(3y,x):}][{:(1),(2):}]=[{:(3),(...

    Text Solution

    |

  10. In the matrix A=[(3-2x,x+1),(2,4)] is singular then X=?

    Text Solution

    |

  11. If A(alpha)=[(cosalpha,sinalpha),(-sinalpha,cosalpha)] then (A(alpha))...

    Text Solution

    |

  12. if A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] be such that A+A'=I th...

    Text Solution

    |

  13. If A=[(1,k,3),(3,k,-2),(2,3,-4)] is singular then K=?

    Text Solution

    |

  14. If A = [(a; b); (c; d)]; find adjA

    Text Solution

    |

  15. If A=[{:(2x,0),(x,x):}]and A^(-1)=[{:(1,0),(-1,2):}], then what is the...

    Text Solution

    |

  16. If A and B are square matrics of the same order then (A+B)(A-B)=?

    Text Solution

    |

  17. If A and B are square matrics of the same order then (A+B)^2=?

    Text Solution

    |

  18. If A and B are square matrics of the same order then (A-B)^2=?

    Text Solution

    |

  19. If A and B are symmetric matrices of the same order then (AB-BA) is al...

    Text Solution

    |

  20. Matrices A and B will be inverse of each other only if (A) A B" "="...

    Text Solution

    |

  21. If A; B are non singular square matrices of same order; then adj(AB) =...

    Text Solution

    |