Register

TIFR-2017-Maths-B: 9

• edited by
174 views

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →

Related questions

0 votes
0 votes
0 answers
1
soujanyareddy13 asked Aug 30, 2020
122 views
TIFR-2017-Maths-A: 9
True/False Question : For any metric space $\left ( X,d \right )$ with $X$ finite, there exists an isometric embedding $f:X\rightarrow \mathbb{R}^{4}$.
True/False Question :For any metric space $\left ( X,d \right )$ with $X$ finite, there exists an isometric embedding $f:X\rightarrow \mathbb{R}^{4}$.
User Avatar
0 votes
0 votes
0 answers
2
soujanyareddy13 asked Aug 30, 2020
125 views
TIFR-2017-Maths-B: 1
Show that the subset $GL_{n} \left ( \mathbb{R} \right)$ of $M_{n}\left ( \mathbb{R} \right )$ consisting of all invertible matrices is dense in $M_{n}\left ( \mathbb{R} \right )$.
Show that the subset $GL_{n} \left ( \mathbb{R} \right)$ of $M_{n}\left ( \mathbb{R} \right )$ consisting of all invertible matrices is dense in $M_{n}\left ( \mathbb{R} ...
User Avatar
0 votes
0 votes
0 answers
3
soujanyareddy13 asked Aug 30, 2020
164 views
TIFR-2017-Maths-B: 2
Let $f$ be a continuous function on $\mathbb{R}$ satisfying the relation $f\left ( f\left ( f\left ( x \right ) \right ) \right )=x \:for\:all \:x \in \mathbb{R}.$ Prove or disprove that $f$ is the identity function.
Let $f$ be a continuous function on $\mathbb{R}$ satisfying the relation$$f\left ( f\left ( f\left ( x \right ) \right ) \right )=x \:for\:all \:x \in \mathbb{R}.$$Prove ...
User Avatar
0 votes
0 votes
0 answers
4
soujanyareddy13 asked Aug 30, 2020
213 views
TIFR-2017-Maths-B: 3
Prove or disprove: the group of positive rationals under multiplication is isomorphic to its subgroup consisting of rationals which can be expressed as $p/q$, where both $p$ and $q$ are odd positive integers.
Prove or disprove: the group of positive rationals under multiplication is isomorphic to its subgroup consisting of rationals which can be expressed as $p/q$, where both ...
User Avatar
Link Copied!