general

Solve for $X$ in matrix equation

How can I solve for $X$ in this matrix equation? $$\begin{bmatrix}-3&-8\\-9&5\end{bmatrix} X + \begin{bmatrix}4&-7\\3&-2\end{bmatrix} = \b...

Published: Sep 06, 2026

updates

Why is this answer wrong? (point of intersection between parabola and line)

Question: Use the discriminant to determine the number of points of intersection of the line $y=3x+5$ and the quadratic functions $f(x)=3x^2-2x-4$. Solve ...

Published: Sep 06, 2026

general

How to solve 5x5 grid with 16 diagonals?

I have a grid 5x5 and I have to fill 16 little squares with a diagonal Rules You cannot place more than 1 diagonal in each square The diagonals cannot tou...

Published: Sep 06, 2026

general

how to calculate the transformation matrix if the coordinate system translates and rotates?

I was trying to calculate the new coordinates of the 4 corners of the rectangle in the image, but I think I only formed the rotation matrix. what is the c...

Published: Sep 06, 2026

news

Solutions manual for Analysis On Manifolds

A few months ago,I wanted to learn something fundmental about manifolds. From highly recommend , I decided to choice Analysis on Manifolds by James R.Munk...

Published: Sep 06, 2026

updates

Properties of a non-invertible square matrix?

I am wondering what properties does $A$, an $n\times n$ non invertible matrix, have. An obvious one is $\det(A)=0$ But, I am not sure about other intuitio...

Published: Sep 06, 2026

news

How can I determine the value of angle x in this figure.

[![I used geometry but Did not find the answer. ][1]][1] **I used Geometry but not avail ** [1]: https://i.stack.imgur.com/Ejxoz.jpg N:B The fiqure is a s...

Published: Sep 06, 2026

news

Find if three points in 3-dimensional space are collinear

Find if the points joining $A=(6,7,1), B=(2,-3,1)$ and $C=(4,-5,0)$ are collinear. How to determine collinearity in three dimensions? In two dimensions, o...

Published: Sep 06, 2026

news

Geometry Proof: Convex Quadrilateral

A quadrilateral $ABCD$ is formed from four distinct points (called the vertices), no three of which are collinear, and from the segments $AB$, $CB$, $CD$,...

Published: Sep 06, 2026

updates

How do you validate a pmf? [closed]

$$P\left(X=x\right)=\left\{ \begin{array}{rl} 0.02 & X=0\\ 0.03 & X=1\\ 0.2 & X\in\left\{ 2,\,5\right\} \\ 0.25 & X\in\left\{ 3,\,4\right\...

Published: Sep 06, 2026