Mymathware Shafii's math academy

(a)Find the Determinant of \begin{equation} A=\left[\begin{array}{ccc} 0 & 1+i & 1+2i\\ 1-i & 0 & 2-3i\\1-2i & 2+3i & 0\end{array}\right] \…

Obtain the following matrices and describe them (a)$A=[a_{ij}]$ is a $3\times3$ matrix such that $a_{ij}=a$ if $i\leq{j}$ and zero otherwise. (b)$B=[b{ij}]$ is …

Question : prove or disprove that $(A+B)^2=A^2+2AB+B^2$ if $A=[a_{ij}]$ is a matrix of $3\times3$ such that $a_{ij}=1$ if i+j is even and it zero otherwise and $B=[b…

The Borel-Cantelli Lemma asserts that let (X,Σ,μ) be a measure Space, if (An) is a sequence of measurable sets such that

Let f and g be differentiable at a point x0εDom(f)nDom(g)  show that (1)       (f+g)'(x0)=f'(x0)+g'(x0) (2)       (fg)'(x0)=f'(x0)g(x0)+f(x0)g…

Prove Or Disprove That a Continous Function is Uniformly Continous.                      PROOF To proof that a Continous Function is Uniformly Continous is simple …