Home
Class 12
MATHS
The value of the determinant |{:(1,1,1,1...

The value of the determinant `|{:(1,1,1,1),(1,2,3,4),(1,3,6,10),(1,4,10,20):}|` is

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Similar Questions

Explore conceptually related problems

If a,b,c and d are the roots of the equation x^(4)+2x^(3)+4x^(2)+8x+16=0 the value of the determinant |{:(1+a,1,1,1),(1,1+b,1,1),(1,1,1+c,1),(1,1,1,1+d):}| is

Find the value of the determinant |{:(1,2,4),(3,4,9),(2,-1,6):}|

Write Minors and Cofactors of the elments of following determinants : |{:(1,0,4),(3,5,-1),(0,1,2):}|

Write minors and cofactors of the elements of following determinant |{:(2,-1,3),(4,2,5),(0,4,-1):}|

the value of the determinant |{:((a_(1)-b_(1))^(2),,(a_(1)-b_(2))^(2),,(a_(1)-b_(3))^(2),,(a_(1)-b_(4))^(2)),((a_(2)-b_(1))^(2),,(a_(2)-b_(2))^(2) ,,(a_(2)-b_(3))^(2),,(a_(3)-b_(4))^(2)),((a_(3)-b_(1))^(2),,(a_(3)-b_(2))^(2),,(a_(3)-b_(3))^(2),,(a_(3)-b_(4))^(2)),((a_(4)-b_(1))^(2),,(a_(4)-b_(2))^(2),,(a_(4)-b_(3))^(2),,(a_(4)-b_(4))^(2)):}| is

If lambda and mu are the cofactors of 3 and -2 respectively in the determinant |{:(1,0,-2),(3,-1,2),(4,5,6):}| the value of lambda+mu is

Evaluate the following determinates |{:("3","-4","5"),(1,1,"-2"),(2,"3","1"):}|

If |{:(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x):}| =3 then the value of |{:(x^(3)-1,0,x-x^(4)),(0,x-x^(4),x^(3)-1),(x-x^(4),x^(3)-1,0):}| is

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} (ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} (iii) {(1,3),(1,5),(2,5)}