Vector Equation - Linear Algebra - Quiz, Exercises of Linear Algebra

This is the Quiz of Linear Algebra which includes Zero Vector, Linearly Dependent, Statement, Vector, Linear Combination, Expressed, Trivial Solution, Inspection, Dependent, Theorem etc. Key important points are: Vector Equation, Corresponding, Matrix Equation, Solution, Equation, Find One, Span, Columns, Bracket, Replaced

Typology: Exercises

2012/2013

Uploaded on 02/27/2013

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MATH 205A,B - LINEAR ALGEBRA
WINTER 2013
QUIZ 2
NAME: Section:(Circle one) A(1 : 10) B(2 : 40)
Show ALL your work CAREFULLY.
Let
A=
004
031
2 8 5
and ~
b=
4
7
13
.
(a) Write the vector equation corresponding to the matrix equation A~x =~
b.
(b) Does the matrix equation A~x =~
bhave a solution? If yes, find one.
(c) Do the columns of Aspan R3? Explain.
Date: January 18, 2013.
1

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MATH 205A,B - LINEAR ALGEBRA

WINTER 2013

QUIZ 2

NAME: Section:(Circle one) A(1 : 10) B(2 : 40)

Show ALL your work CAREFULLY.

Let

A =

 (^) and ~b =

(a) Write the vector equation corresponding to the matrix equation A~x = ~b.

(b) Does the matrix equation A~x = ~b have a solution? If yes, find one.

(c) Do the columns of A span R^3? Explain.

Date: January 18, 2013. 1