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## Intro to Linear Algebra - Practice Test 1

by: Thomas George

3

0

2

# Intro to Linear Algebra - Practice Test 1 ma 3113

Marketplace > Mississippi State University > Mathmatics > ma 3113 > Intro to Linear Algebra Practice Test 1
Thomas George
MSU

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This is a practice test for the first test in Introduction to Linear Algebra.
COURSE
Intro To Linear Algebra
PROF.
Staff
TYPE
Study Guide
PAGES
2
WORDS
CONCEPTS
Math, Linear, Linear Algebra, Calculus, Algebra, Matrices, Matrix
KARMA
50 ?

## Popular in Mathmatics

This 2 page Study Guide was uploaded by Thomas George on Tuesday September 13, 2016. The Study Guide belongs to ma 3113 at Mississippi State University taught by Staff in Summer 2015. Since its upload, it has received 3 views. For similar materials see Intro To Linear Algebra in Mathmatics at Mississippi State University.

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Date Created: 09/13/16
Linear Practice Test 1 1. Solve the system of linear equations and write your solution in parametric vector  form. x  +  y  ­   z  = 2         y  ­  z   = 1       2.  Determine if the columns of the following matrix form a linearly dependent set.        3.  Which of the following matrices are in reduced row echelon form?  If a matrix is not in  reduced row echelon form, state why.       4. Why or why not are the following sets of vectors linearly independent? (a) {(­1, 3), (2, ­6)} (b) {(1, 1, 1), (2, 1, 4), (3, 2, 6), (4, 2, 1)}       5. (True/False)  If the matrix A if invertible then the matrix equation Ax = 0 has infinitely  many solutions. Linear Practice Test 1       6. (True/False)  If a matrix A has a column of all 0’s, the the matrix equation Ax = b has a  free variable.       7.  (True/False)  If a set of vectors has one vector that is a scalar multiple of another, then the  set of vectors can be linearly independent.       8.  (True/False)  A set of four vectors in R^2 must span R^2.

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