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Vectors
Magnitude, direction, components, and adding vectors head to tail.
A vector is a quantity with magnitude and direction, displacement, velocity, force. In components it is just a column of numbers, adding entry by entry; its length comes from Pythagoras. Linear algebra picks up here.
Voorbeeld van werk · [[3],[4]]
Stap voor stap
- \left[\begin{matrix}3\\4\end{matrix}\right]
A 2×1 matrix.
- \operatorname{rank} A = 1
Rank (number of independent rows).
- A^T = \left[\begin{matrix}3 & 4\end{matrix}\right]
Transpose.
Onthul het antwoord
Nu jij. Kies een probleem, type of teken je eigen. Elke stap, een foto, het antwoord verborgen totdat je het vraagt.
Hier gebruikte symbolen
Tik op elk symbool voor de volledige definitie, een afbeelding en wat elke letter erin betekent.
Hoe: Vectors
- A 2×1 matrix.
- Rank (number of independent rows).
- Transpose.
Vragen die mensen stellen
What is a function, really?
A rule that assigns exactly one output to each input. The vertical-line test on a graph is the same idea: no input may have two outputs.
Why do we need complex numbers?
Because x² + 1 = 0 has no real solution, and allowing one new number i with i² = −1 makes every polynomial equation solvable. They then turn out to describe rotation, waves and alternating current more naturally than real numbers do.
Meer in Precalculus
Complex numbersPolynomial functionsRational functionsSequences and seriesThe binomial theoremConic sectionsExponential and logarithmic functionsPolynomial division and the remainder theoremParametric equations and polar coordinates