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[_____] No graph

[_____] Graph

[_____] Application

Welcome to Home

....

playground

Plan

home: book

college: linear algebra book

away or limit time: yt (ie coffee) #empty

#empty #question #linearkuttler1 #double check have

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#pg1 #playground 1

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#pg1 #playground 1 #determinants #determinant of triangle matrix #triangle matrix #determinant #determinant properties

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add tags start here

#unique inverse of a matrix #reduced row echelon form of invertible matrix #pg1 #playground 1

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various equivalencies of invertibility,

#pg1 #playground 1 #matrix inverse algorithm #inverse matrix properties #inverse matrix and systems of linear equations #systems with equal number equations and variables #various equivalencies of invertibility #invertibility

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#multiplication identity matrix #pg1 #playground 1 #invertible matrix #uniqueness of witness to invertibility #inverse of A

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#pg1 #playground 1 #transpose #matrix #transpose matrix #systemic matrix #skew symetric matrix #skew symetric #symetric

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#pg1 #playground 1 #matrix multiplication #mxk #ijth entry of AB #matrix multiplication properties

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#pg1 #playground 1 #vector form #systems of linear equations #vector form systems of linear equations #matrix form #matrix form of linear equations #linear combination of column vector #matrix multiplication

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Section 1

#pg1 #playground 1 #square matrix #zero matrix #matrix #ith row #jth column #equality of matrices #matrix addition #additive identity #additive inverse #scalar multiplication #matrix addition properties #scalar multiplication properties #communative #associative #distributive #distribution

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(6) <-- 1.2- 7 --> (8)

(not my work, planning on taking notes later)

#resister network #pg1 #playground 1 #linear system of equations #systems of linear equations

(5) <-- 1.2 - 6 --> (7)

#balancing chemical equations #systems of linear equations application #application of systems of linear equations #system of equations application #application #chemistry

(4) <-- 1.2 - 5 --> (6)

#rank(A)#r #linear combination #linear system of equations #system of linear equations #systems of linear equations #homogeneous system #consistent #homogeneous #consistent system #n-r #no solution #unique solution #infinite solutions

question

how to define basic/free variables

why define row echelon form, reduced row echelon form differ between text books and instructors?????

this question from text book, section 1.2

#questions #question

(3) <-- 1.2 - 4 --> (5)

#row reducing #row echelon form #row reduce echelon form #echelon form #gaussian elimination #gauss-jordan elimination #gaussian jordan elimination #rref #ref #basic variables #free variables #homogeneous system #system of linear equations solutions #equivalent matrix #equivalent matrices #parameter #parameters #ith row #jth column

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(2)<-- 1.2 - 3 --> (4)

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#matrix #matrix size #matrix dimension #augmented matrix #constant matrix #coefficient matrix #elementary row operations #row echelon form #reduced row echelon form #ref #rref #pivot position #pivot column #lead entry #lead entries

(1) <-- 1.2 - 2 --> (3)

#elementary operations #elementary row operations #solutions #back substitution

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