Complex Analysis_ Holomorphic Functions

Let f be a holomorphic function on some domain Ω. Let z0 ∈ Ω and define g(z) = (f(z)−f(z0) z−z0 , z 6= z0 , f 0 (z0), z = z0 . Show that one can expr...

Vectors

Let S = {A M2x2(ℝ) | a12 = -a21}. Show that S is a subspace of M2x2(ℝ)

Vectors

Show that the set S = {(1, 3, -4, 2)T, (2, 2, -4, 0)T, (1, -3, 2, -4)T, (-1, 0, 1, 0)T} in ℝ4 is linearly dependent by verifying that r = 4, s = -3, t...

Vector spaces

Describe the span of the vectors (1, 0, 1)Tand (0, 1, 0)T. [4 marks]a. Will this span be a subspace? Explain. [3 marks]b. Show that it cannot span...

Twin Pythagorean Triples

Determine, with proof, all positive integers n<400, such that n^2=(n+1)^2 is the square of an integer.

What does an autocorrelation function represent? How is it related to Fourier transform.

Can anyone answer it immediately?

Complex Analysis_ Holomorphic Functions

Let f be a holomorphic function on some domain Ω. Let z0 ∈ Ω and define g(z) = (f(z)−f(z0) z−z0 , z 6= z0 , f 0 (z0), z = z0 . Show that one can expr...

relevance of mathematics

i wish to ask WHY is mathematics conside a very difficult subjects

What should i do with my mathematics assignment?

These days every student is busy in different activities like they do a part-time job and also different accomplishments that's why they do not comple...

Need Assistance?

Hey, everyone, I am a newbie on this website. actually, I am a student and I need your help in my academic problems. I give the assignment projects fr...

Vectors

Let S = {A M2x2(ℝ) | a12 = -a21}. Show that S is a subspace of M2x2(ℝ)

Vectors

Show that the set S = {(1, 3, -4, 2)T, (2, 2, -4, 0)T, (1, -3, 2, -4)T, (-1, 0, 1, 0)T} in ℝ4 is linearly dependent by verifying that r = 4, s = -3, t...

Complex Analysis_ Holomorphic Functions

Let f be a holomorphic function on some domain Ω. Let z0 ∈ Ω and define g(z) = (f(z)−f(z0) z−z0 , z 6= z0 , f 0 (z0), z = z0 . Show that one can expr...

relevance of mathematics

i wish to ask WHY is mathematics conside a very difficult subjects

What should i do with my mathematics assignment?

These days every student is busy in different activities like they do a part-time job and also different accomplishments that's why they do not comple...

Need Assistance?

Hey, everyone, I am a newbie on this website. actually, I am a student and I need your help in my academic problems. I give the assignment projects fr...

Vector spaces

Describe the span of the vectors (1, 0, 1)Tand (0, 1, 0)T. [4 marks]a. Will this span be a subspace? Explain. [3 marks]b. Show that it cannot span...

Vectors

Show that the set S = {(1, 3, -4, 2)T, (2, 2, -4, 0)T, (1, -3, 2, -4)T, (-1, 0, 1, 0)T} in ℝ4 is linearly dependent by verifying that r = 4, s = -3, t...