Using properties of determinants prove that -
In this ques.. i just want to know tht after applying C1→ C1-C2, C2→ C2-C3
in this ques how can i take (a+b+c) common from C1 and C2.
show that the function f: R ---->R given by f(x)=x3 + x is a bijection.
Use matrix multiplication to divide rs. 30,000 in two parts such that the total annual interest at 9% on the first part and 11% on the second part amounts rs. 3060.
if y= [log(x+root x2+1)]2 show that (1+x2) d2y/dx2 +xdy/dx =2
Using properties of determinats, prove that
a2 2ab b2
b2 a2 2ab
2ab b2 a2
= (a3 + b3)2
If xp.yq = (x+y)p+q , Prove that
(i) dy/dx = y/x
(ii) d2y/dx2 = 0
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