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12 views

Inverse[m1 m2] not equivalent to Inverse[m2] Inverse[m1], m1,m2 are 3x3 matrices, why?

I would like to use Mathematica to show that $(AB)^{-1} = B^{-1}A^{-1}$ I used ...
8 views

FindRoot does not see all roots

From my plot, I see that my transcendental equation $f(x)=0$ has roots near points $\lbrace0.2,0.3,0.4,0.5\rbrace$. Unfortunately, using function FindRoots with ...
34 views

How to deal with loss of significance in the case $f(x) = \sqrt{x+2} -\sqrt{x}$?

I would like to evaluate the expression $f(x) = \sqrt{x+2} -\sqrt{x}$ with cases when $x = 3.2 \times 10^{30}$ and $x= 3.2 \times 10^{16}$. I tried using ...
18 views

Quadratic form for specific formula as matrix reprezentation

So I have problem for specific formula to create Quadratic_form form from $$y = 3 + x_1 - 2 x_4 + 2 x_3 x_4 + x_2 (-x_3 + x_4)$$ as matrix \begin{bmatrix} 1 & 0 & 0 & 0 \\ ...
28 views

Dots at points of discontinuity

So, I got this code: Plot[Piecewise[{{3, x <= 0}, {x^2 + 1, x > 0}}], {x, -2, 2}, PlotStyle -> {Purple}, Axes -> False, Frame -> True] and I ...