Mark the correct alternative in each of the following: Let M be 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, is

Question

Philoid · Accepted 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.

Mark the correct alternative in each of the following:Let M be 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, is

Mark the correct alternative in each of the following:
Let M be 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, is