Home
Class 12
MATHS
Assume X, Y, Z, W and P are matrices of...

Assume X, Y, Z, W and P are matrices of order `2 xxn`, `3 xxk`, `2 xxp`, `n xx3`and `p xxk`, respectively. Choose the correct answer
The restriction on n, k and p so that `P Y + W Y`will be defined are:(A) `k = 3, p = n` (B) `k` is arbitrary, `p=2` (C) `p` is arbitrary, `k=3` (D) `k=2`, `p=3`

Text Solution

AI Generated Solution

To solve the problem, we need to determine the conditions under which the expression \( PY + WY \) is defined, given the orders of the matrices involved. ### Step-by-Step Solution: 1. **Identify the Orders of the Matrices:** - \( P \) is of order \( p \times k \) - \( Y \) is of order \( 3 \times k \) - \( W \) is of order \( n \times 3 \) ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT ENGLISH|Exercise EXERCISE 12.2|11 Videos
  • PROBABILITY

    NCERT ENGLISH|Exercise EXERCISE 13.2|18 Videos

Similar Questions

Explore conceptually related problems

the restriction on n, k and p so that PY +Wywill be defined are :

Assume X,Y,Z ,W,P are the matrices of order 2 xx n , 3 xx k , 2 xx p , n xx 3 , p xx k respectively. If n=p , then the order of the matrix 7X-5Z is:(A) p xx2 (B) 2xx n (C) n xx3 (D) p xxn

Assume X,Z are the matrices of order 2 xx n , 2 xx p respectively. If n=p , then the order of the matrix 7X-5Z is:(A) p xx2 (B) 2xx n (C) n xx3 (D) p xxn

Suppose P and Q are two different matrices of order 3xx n " and" n xx p , then the order of the matrix P xx Q is ?

The coordinates of the point A and B are (a,0) and (-a ,0), respectively. If a point P moves so that P A^2-P B^2=2k^2, when k is constant, then find the equation to the locus of the point P .

The value of |[yz, z x,x y],[ p,2p,3r],[1, 1, 1]|,w h e r ex ,y ,z are respectively, pth, (2q) th, and (3r) th terms of an H.P. is a. -1 b. 0 c. 1 d. none of these

Find n if : 2P( n,3) = P(n+1,3)

A ={p:p in W " and " 2p-3 lt 8}

Find n if : P(2n, 3) = 100 P(n,2)

For the reaction, N_(2)+3H_(2)hArr2NH_(3) , the units of K_(c) "and" K_(p) respectively are:

NCERT ENGLISH-MATRICES-All Questions
  1. If A=[[1, 1, 1],[ 1, 1, 1],[ 1, 1, 1]], prove that A^n=[[3^(n-1),3^(n-...

    Text Solution

    |

  2. The bookshop of a particular school has 10 dozen chemistry books, 8 d...

    Text Solution

    |

  3. Assume X, Y, Z, W and P are matrices of order 2 xxn, 3 xxk, 2 xxp, n ...

    Text Solution

    |

  4. Assume X,Y,Z ,W,P are the matrices of order 2 xx n, 3 xx k,2 xx p, n x...

    Text Solution

    |

  5. If A=[[1,-2, 3,],[ 4, 2, 5,]]and B=[[2, 4], [2,3],[ 5, 1]], then find ...

    Text Solution

    |

  6. Find AB, if A=[[6, 9],[ 2, 3]]and B=[[2 ,6, 0],[ 7, 9, 8]].

    Text Solution

    |

  7. Two farmers Ramkishan and Gurcharan Singh cultivates only three var...

    Text Solution

    |

  8. Find the values of x and y from the following equation:2[[x,5],[ 7,y-...

    Text Solution

    |

  9. If A=[[0, 6, 7], [-6, 0, 8], [ 7,-8, 0]], B=[[0, 1, 1],[ 1, 0, 2],[ 1,...

    Text Solution

    |

  10. If A=[[1, 1,-1],[ 2, 0, 3],[ 3,-1, 2]], B=[[1, 3],[0,2],[-1, 4]]and C=...

    Text Solution

    |

  11. Find AB, if A=[[0,-1],[ 0, 2]]and B=[[3, 5],[ 0, 0]].

    Text Solution

    |

  12. If A=[[1, 0],[ 0,-1]]and B=[[0 ,1], [1, 0]], then find AB,BA. Show tha...

    Text Solution

    |

  13. In a legislative assembly election, a political group hired a public...

    Text Solution

    |

  14. If A=[{:(,1,2,3),(,3,2,1),(,4,2,1):}] then show that A^(3)-23A=40 I=0

    Text Solution

    |

  15. If the matrix A is both symmetric and skew symmetric, then (A) A is a...

    Text Solution

    |

  16. If A is square matrix such that A^2=A , then (I+A)^3-7A is equal to ...

    Text Solution

    |

  17. If A and B are square matrices of the same order such that AB=BA, then...

    Text Solution

    |

  18. If A=[[alpha,beta],[gamma,alpha]]is such that A^2=I, then (A) 1+alpha...

    Text Solution

    |

  19. A manufacturer produces three products x, y, z which he sells in two...

    Text Solution

    |

  20. Find the matrix X so that X[[1, 2, 3],[ 4 ,5, 6]]= [[-7,-8,-9],[2,4,6]...

    Text Solution

    |