Algebra II · Unit 4
Eigenvalues and eigenvectors
λ is an eigenvalue of A if A·v = λ·v with v ≠ 0.
det(A − λI) = 0
λ₁ = 5 · λ₂ = 2
Filmina explains your class PDFs out loud: studying at home feels like being back in the lecture, minus the professor's anecdotes.
A ninety-slide deck doesn't get studied: it gets abandoned around slide twenty. In class someone explained it; alone with the slide, nobody does.
Reading in silence you skip half a paragraph without noticing and have to read it again. Listening to the lecture while you look at it, the session moves on its own: you finish sooner, and the next day you remember what you heard.
Chrome, Safari, Edge or Firefox, on Windows, Mac or Linux. Sign in with your email and that's it: nothing to download.
On your phone or computer it goes on your home screen with one tap, and opens on its own, without the browser bar.
Your classes, notes and progress follow you from one device to another. No passwords: you sign in with a code sent to your email.
Mina explains every slide in full, with the frame on what is being said. Then, a question.
You raise your hand, the voice pauses and Mina answers with the slide in view, saying if it comes from your material.
What your teacher said counts too: typed, dictated or from a notebook photo, Mina uses it to explain and in the chat.
When you finish the lecture, a summary by topic comes together. Read it on the document page or hear it in the same voice.
You get a concept and a hint. You write what you remember, and only then see the slides it comes from.
Questions on what you already studied, harder or more guided depending on how you are doing.
The slide is split into segments of one or two ideas, and then it is verified in code that not a single block of text was left unexplained. Coverage doesn't depend on the model behaving: it is checked.
The frame surrounds the section it is talking about and slides to the next one. No fill, no veil: any layer over the page, however soft, gets in the way exactly where you need to read.
P(A|B) is said P of A given B, not p bracket a bar b. The notation is translated before it reaches the voice, which is where text-to-speech readers fall apart.
The preamble and the wrap-up are stripped out (we're on slide 22 of 62, let's take a look, in short) because they are the seconds you spend waiting for the part that matters.
It breathes and pauses where it should.
Neural voice
An architectural pattern is a reusable solution to a problem that shows up again and again in one and the same context.
Four options, and the wrong ones are the usual confusions, not absurdities.
Writing the word is quite a bit more than recognising it among four.
You talk for thirty seconds and it tells you which ideas you covered.
Answered from memory, in words. Whether you had it is yours to say.
Free
To start, no card
US$8/mo
Monthly, automatic payment
Yes: the explanations and the voice are made in the cloud, so you need a connection. In exchange there's nothing to install or download, and it runs the same on an old laptop as on your phone.
Any with an up-to-date browser: Chrome, Safari, Edge or Firefox, on Windows, Mac, Linux, Android or iPhone. And from the browser it installs like an app, with its own icon.
If the slide is a photo with no text, Mina can't read it and tells you instead of making things up. If you have the original deck, upload that.
It looks at them. Mina gets the whole slide, not just its text, so it explains the chart, the diagram or the table along with what's written. If a figure is only decoration, it lets it go.
The explanation sticks to what the slide says, and code checks that every block was covered. Outside knowledge can only show up in chat answers: the ones drawn from your material say From the deck or From the document, and the rest carry no such label.
A text-to-speech reader tells you what is written on the slide; NotebookLM turns the whole PDF into a podcast. Filmina explains each slide while you look at it and points at the block it is talking about. Compared in detail: against Speechify, against NotebookLM and against ChatGPT.
In the language the deck is written in, Spanish or English, without you having to pick.
Yes, and no card. The free plan comes with 60 minutes of explanation to start and then 20 a month, with up to 10 documents. If you use it every day, Pro gives you 15 hours a month.
15 hours of explanation a month, unlimited documents and up to two devices at once. You pay monthly from the app, in your currency, and cancel whenever you want.
Drop in that PDF you've been putting off and hear it explained. Thirty seconds is enough to know whether it's for you.
No card · In the browser, nothing to install