Q. 95.0( 1 Vote )
Mark the correct A. one-one and onto
B. neither one-one nor onto
C. one-one not one-one
D. onto but not one-one
Answer :
Given that M is the set of all 2 × 2 matrices with entries from the set R of real numbers. Then the function f: M → R defined by f(A) = |A| for every A ϵ M.
If f(a) =f(b)
⇒ |a| = |b|
But this does not mean that a=b.
So, f is not one-one.
As a ≠ b but |a|=|b|
So, f is onto.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation


RELATED QUESTIONS :
Fill in the
Mathematics - ExemplarLet f : [2, ∞) <s
Mathematics - ExemplarLet f : N →
Mathematics - ExemplarFill in the
Mathematics - ExemplarLet f :R →<
Mathematics - ExemplarLet f : [0, 1] <s
Mathematics - ExemplarWhich of the foll
Mathematics - Exemplar