100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Summary Applied maths 214 A1 Cheat Sheet $3.40   Add to cart
Quickly navigate to
Preview
  2.  
  3. Stellenbosch University (SUN)
  4.  
  5. Applied mathematics 214 (AM214)

Summary

Summary Applied maths 214 A1 Cheat Sheet
 42 views  0 purchase
  • Course
  • Applied mathematics 214 (AM214)
  • Institution
  • Stellenbosch University (SUN)

This cheat sheet summarises the most important formulas and notes for applied maths 214 before the A1 assessment. They are brief but detailed where necessary to contain all that needs to be known for exams. Extra practice should be done and these notes should not be learnt in isolation for exams.

Preview 2 out of 12  pages

Document information

  • March 11, 2024
  • 12
  • 2023/2024
  • Summary

Subjects

  • vectors

Written for

  • Stellenbosch University (SUN)
  • Applied mathematics 214 (AM214)
All documents for this subject (4)

Seller

avatar-seller
jennafyvie

Reviews received

Content preview

Applied Maths Al Cheat sheet (214)

ors
, a e

(4)
q =
q = (a



product
D
& :
1 =
a , b, +
a b2 +
abs =
abcost a b = 0
torthogonal vectors

T
ba =
a b =
a xb axb =
0 >
-
norm to a adb



Norm
-




Hall = -
a a 9 2
+ +
=
a



a = * (a) = a (wit vector)




InR
-parameter
E =
p +
ta tz(- - 4),




Picto a *



↓
anchor
orientation
Vector
·. atto . . ,
(f ↓
T

1 =
p + ta

-
-




from
origin


in R
Pres cross product :
Normal
to plane

Pr es
through origin A =
Ax
parametric :




E =

q+ S& +
th =

2bs-a, bu) I
(a -

(a ,
b -A b
, , ,)f (a b2 -a b) T
,




Corthogonal)
Norm
1 .



1 =
0
vectors Acosrle
givenTe Angle
between


-bl
2
1) A =
a + b2-ZaBrosO
shift plane not
though origin
>
-




to position- replace I with -R
=> a tab +asby ,
= abos


Af
e ↓
e
scalar
=
] q .

b = abcost

, Matrics
- -
square matrices (nxn)

>
-

Matrix add is
LES :
·


(AT)" =
A
+
·
(A + B) =
At + BT
A+B =
B + A commutative
T

(B + C) (A + B) + (B) BA
·

A+ associative
=
= C
-




Face
>
-



scalar mult is :




↓A = AX commutative
-r(A) = a + A2 +
A33
-




>
-
Matrix melt is not commutative
(sum of diagonal)
of 2x2 :
Inverse

CABC=(ABILAme
e




(A + B) C
distributivig
=
AC + BL
Isame order At =ab [
1
(AT) (AT)
-




·
=




Permutation Matrix
>
-


Inverse matrix after row swapped metry
I
issameri, it stStab e
↳ swaps rows
pro-melt
>
-




Pt PT
I
=




i
Elementary row-op Matrix
e

Es ,
Marrie
Triangula
=




upper
:


-
matrices
Diagonal

I BoI (2008) Damon of = of t
L O
De D =
D"




premut by diagmai-scales theto
ens
-




-

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller jennafyvie. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $3.40. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

75323 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$3.40
  • (0)
  Add to cart