Register

TIFR-2011-Maths-B-14

403 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

2 votes
2 votes
1 answer
1
makhdoom ghaya asked Dec 10, 2015
896 views
TIFR-2011-Maths-B-13
Any non-singular $k \times k$-matrix with real entries can be made singular by changing exactly one entry.
Any non-singular $k \times k$-matrix with real entries can be made singular by changing exactly one entry.
User Avatar
1 votes
1 votes
0 answers
2
makhdoom ghaya asked Dec 10, 2015
444 views
TIFR-2011-Maths-B-12
Let $S$ be a finite subset of $\mathbb{R}^{3}$ such that any three elements in $S$ span a two dimensional subspace. Then $S$ spans a two dimensional space.
Let $S$ be a finite subset of $\mathbb{R}^{3}$ such that any three elements in $S$ span a two dimensional subspace. Then $S$ spans a two dimensional space.
User Avatar
2 votes
2 votes
1 answer
3
makhdoom ghaya asked Dec 9, 2015
635 views
TIFR-2011-Maths-B-8
If $A$ and $B$ are $3 \times 3$ matrices and $A$ is invertible, then there exists an integer $n$ such that $A + nB$ is invertible.
If $A$ and $B$ are $3 \times 3$ matrices and $A$ is invertible, then there exists an integer $n$ such that $A + nB$ is invertible.
User Avatar
1 votes
1 votes
0 answers
4
makhdoom ghaya asked Dec 9, 2015
437 views
TIFR-2011-Maths-B-1
State True or False Let $A$ be a $2 \times 2$-matrix with complex entries. The number of $2 \times 2$-matrices $A$ with complex entries satisfying the equation $A^{3}$ is infinite.
State True or FalseLet $A$ be a $2 \times 2$-matrix with complex entries. The number of $2 \times 2$-matrices $A$ with complex entries satisfying the equation $A^{3}$ is ...
User Avatar
Link Copied!