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 `2xx n, 3xxk, 2xxp, n xx 3 and p xx k`, respectively.
The restriction on n, k and p so that `PY+WY` 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

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx 3 and p xx k , respectively. If n = p, then the order of the matrix 7X-5Z is:

A and B are two matrices of the order 3xx m and 3xx n respectively, and m=n, then the order of the matrix (5 A-2 B) is

If X and Z are of order 2xx n and 2xx p respectively and n=p then, 7 X-5 Z is of order

(b) Find the sum to n terms of the series 1 xx 2 xx 3 + 2 xx 3 xx 4 + 3 xx 4 xx 5 + .. .

If A and P are 3xx3 matrices with integral entries such that P ' AP = A , then det . P is :

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

If w,x,y and z are mass, length, time and current respectively, then (x^(2)w)/(y^(3)z) are the dimensions of :

Let the sum of n, 2n, 3n terms of an A.P. be S_1, S_2 and S_3 , respectively, show that S_3 =3(S_2-S_1)

The first and the n^(th) elements of a G.P are respectively a and b and P is the product of n elements, then P^(2)=

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A, B are symmetric matrices of same order, then AB-BA is a

    Text Solution

    |

  2. If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I, the...

    Text Solution

    |

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

    Text Solution

    |

  4. If X and Z are of order 2xx n and 2xx p respectively and n=p then, 7 X...

    Text Solution

    |

  5. Prove that {:|( b+c,a,a), ( b,c+a,b),( c,c,b+a) |:} = 4abc

    Text Solution

    |

  6. Delta=[[1,1+ac,1+bc],[1,1+ad,1+bd],[1,1+ac, 1+bc]]

    Text Solution

    |

  7. If (1)/(a)+(1)/(b)+(1)/(c)=0 then |[1+a, 1, 1 ],[1, 1+b, 1],[1,1,1+c]|...

    Text Solution

    |

  8. If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1]...

    Text Solution

    |

  9. The value of the determinant : |(1,1,1),(""^mC1,""^(m+1)C1,""^(m+2)C...

    Text Solution

    |

  10. If a , b, c are all different from zero and |(1+a,1,1),(1,1+b,1),(1,...

    Text Solution

    |

  11. |[77,78,79],[76,75,74],[75,74,73]|=

    Text Solution

    |

  12. Delta=|[x+a,b,c],[b,x+c, a],[c,a, x+b]| which of the following is a fa...

    Text Solution

    |

  13. If D=[[1,a,b],[1,b,c],[1,c,a]], then [[a,b,c],[b,c,a],[1,1,1]]=

    Text Solution

    |

  14. The value of the determinant |[a1, la1+mb1, b1],[a2, la2+mb2, b2],[a3,...

    Text Solution

    |

  15. If omega is a complex cube root of unit, then the value of the determi...

    Text Solution

    |

  16. If alpha , beta , gamma are the roots of x^3+px+q=0 , then the value o...

    Text Solution

    |

  17. If ax^(4) + bx^(3) + cx^(2) + dx + e = |{:(x^(3) + 3x , x - 1 , x+ 3) ...

    Text Solution

    |

  18. Delta=|[log x ,log y, log z],[log 2 x, log 2 y, log 2 z],[log 3 x, log...

    Text Solution

    |

  19. The value of the determine : Delta=|(1!,2!,3!),(2!,3!,4!),(3!,4!,5!)| ...

    Text Solution

    |

  20. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

    Text Solution

    |