MAT 22A Study Guide - Fall 2018, Comprehensive Midterm Notes - Linear Combination, Euclidean Vector, Positive-Definite Matrix
12 Oct 2018
School
Department
Course
Professor
MAT 22A
MIDTERM EXAM
STUDY GUIDE
Fall 2018
Mat 22A
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Lecture #I
1. IVectors and linear combinations .
ordered pair.
Tydings
recall points Ix ,yi
J-
-(Vi
,
)v.
-
-x. component I
k=y
-
compare he !all
numbers
acolumn of vectors .
vector addition .
-
J-
-
Iy.
),
it =
fwiw
.
]
itw =L '
this
scalarmultipllcationo.it
-
-4L =L ,
.i=
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MAT 22A Full Course Notes
Verified Note
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Document Summary
( vi v x. k y component i he ! compare allnumbers a column of vectors vector addition . Linear algebra is essentially built on the operations f hector addition and scalar multiplication. C and d we call c j t dir a linear combination of. Point in the plane y a o. 14 . written a point in as can be represented as an arrow from. 10 , 0,01 to 1k , kill in. Vector addition and scalar multiplication work the same way in. In n direction so can consider linear combinations aitdvtew a ftp. viw. w. ph. 4 lied t ftp. fbjsf=l? suppose ne are gien fixed vectors ii. At maximum . the comb cd fill a line throw. @ at minimum the comb cut did " Suppose we have four goods to buy and sell. The quantities me buy or sell are g. An important case is the dot product of a vector with itself.
