Recently Posted Questions

Question 20 (Group Theory)

Let $G=M_{3\times 3}(\mathbb{Z})$, let $*$ denote componentwise multiplication of matrices, then- (a) $(G,*)$ is a group (b…

ByDr. Math -
ODE

Question 19 (Differential Equation)

Let $y(x)$ is the solution of the D.E. $y' = y(y-2); y(0)=\alpha,$ then- (a) $y(x)$ is increasing for all $\alpha$ (b) …

ByDr. Math -
Complex Analysis

Question 18 (Complex Analysis)

Let $f$ be a holomorphic function on $0 < |z| < \epsilon$, $\epsilon > 0$ given by a convergent Laurent Series $\sum_…

ByDr. Math -
Linear Algebra

Question 17 (Linear Algebra)

Let $A$ is $2 \times 2$ matrix with $\det(A) \neq 0$, then under what condition $Ch(A) - Ch(A^{-1})$ is constant- (a) $\det…

ByDr. Math -
Linear Algebra

Question 16 (CSIR NET June 2019)

Consider the vector space $P_n$ of real polynomials in $x$ of degree $\le n$. Define $T: P_2 \to P_3$ by $T(f(x)) = \int_0^x f…

ByDr. Pawan -
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