In Exercises 42-49, the given matrix is the augmented matrix for a system of linear equations. Give the vector form for the general solution. 1 0 - 1 0 - 1 0 1 2 0 1 0 0 0 1 1
In Exercises 42-49, the given matrix is the augmented matrix for a system of linear equations. Give the vector form for the general solution. 1 0 - 1 0 - 1 0 1 2 0 1 0 0 0 1 1
Solution Summary: The author explains the general solution in vector form for the given augmented matrix. Since the matrix is in reduced echelon form, it can be found readily.
In Exercises 42-49, the given matrix is the augmented matrix for a system of linear equations. Give the vector form for the general solution.
1
0
-
1
0
-
1
0
1
2
0
1
0
0
0
1
1
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
13) Let U = {j, k, l, m, n, o, p} be the universal set. Let V = {m, o,p), W = {l,o, k}, and X = {j,k). List the elements of
the following sets and the cardinal number of each set.
a) W° and n(W)
b) (VUW) and n((V U W)')
c) VUWUX and n(V U W UX)
d) vnWnX and n(V WnX)
9) Use the Venn Diagram given below to determine the number elements in each of the following sets.
a) n(A).
b) n(A° UBC).
U
B
oh
a
k
gy
ท
W
z r
e t
་
C
10) Find n(K) given that n(T) = 7,n(KT) = 5,n(KUT) = 13.
Chapter 1 Solutions
Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)
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