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Questions Asked

Loser66:
Find the perpendicular projection of (1,1,1) on the one dimensional subspace of C^3 spanned by(1,1,1). In other words, find the image of th…
 updated 16 hours ago
 3 replies
 No Medals Yet
Mathematics

Loser66:
\[f(x) =ax_1^2 +2x_1x_2+2x_1x_3\] under which condition of a, f(x) >0?
Please
 updated yesterday
 19 replies
 2 Medals
Mathematics

Loser66:
a^2+b^2+c^2+ab+bc+ac>0 for all a, b, c?
please, help
 updated yesterday
 24 replies
 4 Medals
Mathematics

Loser66:
if the primary term is 6.11, the second term is 0.015. What is the percent different between the first and the second term?
Please, help.:)
 updated 2 days ago
 4 replies
 1 Medal
Mathematics

Loser66:
\[\int_0^1 t x(t) y(t) dt\] please help
 updated 4 days ago
 6 replies
 1 Medal
Mathematics

Loser66:
what is the condition of a to get
\[ax_1\bar x_2+\bar a \bar x_1x_2>0\] where \(a,x_1,x_2 \in C\) \(x_1\neq 0\) \(x_2\neq 0\)
Please, he…
 updated 5 days ago
 25 replies
 No Medals Yet
Mathematics

Loser66:
Someone explains me, please
…
 updated 5 days ago
 6 replies
 2 Medals
Mathematics

Loser66:
I have a note from my prof, however, I don't understand what he was talking about. Let me copy it V = P_n define (x,y)= ∫bax(t)y¯(t)dt an i…
 updated 6 days ago
 26 replies
 No Medals Yet
Mathematics

Loser66:
I need help, please
 updated 7 days ago
 21 replies
 2 Medals
Mathematics

Loser66:
Convert \(P_2\) inti an inner product space by writing (x,y) =\(\int_0^1 x(t)\bar y(t) dt\) whenever x, y are in \(P_2\) and find a complete…
 updated 8 days ago
 44 replies
 No Medals Yet
Mathematics

Loser66:
If M and N are subspaces of a finitedimensional inner product space, then
\((M+N)^\perp = M^\perp \cap N^\perp\)
and \(M\cap N)^\perp = M^\…
 updated 8 days ago
 28 replies
 No Medals Yet
Mathematics

Loser66:
I need a pic for : If x, y in Real/ complex inner product space, and if x=y, then xy and x + y are orthogonal?
someone helps me, p…
 updated 9 days ago
 37 replies
 2 Medals
Mathematics

Loser66:
Prove that if x, and y are vectors in a unitary space, then
4(x,y) = x+y^2xy^2+ix+iy^2ixiy^2
 updated 9 days ago
 37 replies
 No Medals Yet
Mathematics

Loser66:
Please, help
 updated 9 days ago
 59 replies
 No Medals Yet
Mathematics

Loser66:
a,b,c,d \(\in R\) ; x, y \(\in C^2\) find the condition of a, b, c, d to get the <x,x>> 0
 updated 9 days ago
 23 replies
 No Medals Yet
Mathematics

Loser66:
How to solve it? find a basis of C^2 such that the matrix with respect to that basis is triangular
\[\left[\begin{matrix}1&1\\1&0\end{matri…
 updated 11 days ago
 12 replies
 1 Medal
Mathematics

Loser66:
Find all e. values and e. vectors of
A = \(\left[\begin{matrix}0&1\\0&0\end{matrix}\right]\)
I got \(\lambda =0\) double root…
 updated 11 days ago
 10 replies
 No Medals Yet
Mathematics

Loser66:
Use property of eigenvalue space to prove that the differentiation operator D on the space P_n(n>1) is not reducible (that is, it is not red…
 updated 12 days ago
 5 replies
 No Medals Yet
Mathematics

Loser66:
Interpret the matrix as linear transformation on C^3, find a basis of C^3 such that the matrix of the transformation with respect to that ba…
 updated 13 days ago
 20 replies
 1 Medal
Mathematics

Loser66:
Give an example of a nonzero alternating 2linear form w on 3dimensional space such that w(x1, x2) =0 for some set of linearly independent…
 updated 13 days ago
 52 replies
 3 Medals
Mathematics

Loser66:
How to interpret the given matrix on C^2?
\[\left(\begin{matrix}1&1\\0&1\end{matrix}\right)\]
Please help
 updated 14 days ago
 15 replies
 No Medals Yet
Mathematics

Loser66:
If A and B are linear transformations such that AB =0 , A\(\neq 0\), B\(\neq 0\), then det A = det B =0
Please, help me prove it.
 updated 16 days ago
 36 replies
 3 Medals
Mathematics

Loser66:
Question is in comment
Please, help
 updated 16 days ago
 2 replies
 No Medals Yet
Mathematics

Loser66:
We know that the tensor product of \(P_n~~and~~P_m\) may be identified with the space \(P_{n,m}\) of polynomials in 2 variables. Prove that …
 updated 18 days ago
 6 replies
 No Medals Yet
Mathematics

Loser66:
Question attached
Please, help
 updated 20 days ago
 2 replies
 No Medals Yet
Mathematics

Loser66:
Question on attachment
Please, help
 updated 19 days ago
 13 replies
 No Medals Yet
Mathematics

Loser66:
If A is linear transformation of rank one, then there exists a unique scalar \(\alpha\) such that \(A^2= \alpha A\)
b) If \(\alpha\neq1\), …
 updated 19 days ago
 10 replies
 1 Medal
Mathematics

Loser66:
Question attached.
…
 updated 20 days ago
 11 replies
 2 Medals
Mathematics

Loser66:
Find a 4x4 matrix whose range is spanned by (1,0,1,0) and (0,1,0,1)
Please, help
 updated 22 days ago
 4 replies
 1 Medal
Mathematics

Loser66:
Use the differentiation operator on \(P_n\) to show that the range and the null space of a linear transformation need Not be disjoint
Pleas…
 updated 22 days ago
 13 replies
 1 Medal
Mathematics
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