Elementary Linear Algebra: Applications Version
12th Edition
ISBN: 9781119282365
Author: Howard Anton, Chris Rorres, Anton Kaul
Publisher: WILEY
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Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
PRIMERA EVALUACIÓN SUMATIVA
10. Determina la medida de los ángulos in-
teriores coloreados en cada poligono.
⚫ Octágono regular
A
11. Calcula es número de lados qu
poligono regular, si la medida
quiera de sus ángulos internos
• a=156°
A= (-2x+80
2
156 180-
360
0 = 24-360
360=24°
• a = 162°
1620-180-360
6=18-360
360=19
2=360=
18
12. Calcula las medida
ternos del cuadrilá
B
X+5
x+10
A
X+X+
Sx+6
5x=3
x=30
0
лаб
• Cuadrilátero
120°
110°
• α = 166° 40'
200=180-360
0 =
26-360
360=20
ひ=360
20
18 J
60°
⚫a=169° 42' 51.43"
169.4143180-340
0 = 10.29 54-360
360 10.2857
2=360
10.2857
@Sa
Chapter 4 Solutions
Elementary Linear Algebra: Applications Version
Ch. 4.1 - Let V be the set of all ordered pairs of real...Ch. 4.1 - Let V be the set of all ordered pairs of real...Ch. 4.1 - In Exercises 312, determine whether each set...Ch. 4.1 - In Exercises 312, determine whether each set...Ch. 4.1 - In Exercises 312, determine whether each set...Ch. 4.1 - In Exercises 312, determine whether each set...Ch. 4.1 - In Exercises 312, determine whether each set...Ch. 4.1 - In Exercises 312, determine whether each set...Ch. 4.1 - Verify Axioms 3, 7, 8, and 9 for the vector space...Ch. 4.2 - In Exercises 12, use the Subspace Test to...
Ch. 4.2 - In Exercises 12, use the Subspace Test to...Ch. 4.2 - In Exercises 34, use the Subspace Test to...Ch. 4.2 - In Exercises 56, use the Subspace Test to...Ch. 4.2 - In Exercises 78, use the Subspace Test to...Ch. 4.2 - In Exercises 78, use the Subspace Test to...Ch. 4.2 - In Exercises 1112, use the Subspace Test to...Ch. 4.2 - In Exercises 1112, use the Subspace Test to...Ch. 4.2 - In Exercises 1314, use the Subspace Test to...Ch. 4.2 - In Exercises 1516, use the Subspace Test to...Ch. 4.2 - In parts (a)(h) determine whether the statement is...Ch. 4.3 - Which of the following are linear combinations of...Ch. 4.3 - Express the following as linear combinations of u...Ch. 4.3 - Prove that if {u, v} spans the vector space V,...Ch. 4.4 - Explain why the following form linearly dependent...Ch. 4.4 - In each part, determine whether the vectors are...Ch. 4.4 - In each part, determine whether the vectors are...Ch. 4.4 - In each part, determine whether the vectors are...Ch. 4.4 - In each part, determine whether the matrices are...Ch. 4.4 - a. Show that the three vectors v1 = (0, 3, 1, 1),...Ch. 4.4 - Prove that if {v1, v2} is linearly independent and...Ch. 4.5 - Use the method of Example 3 to show that the...Ch. 4.5 - Use the method of Example 3 to show that the...Ch. 4.5 - Show that the following polynomials form a basis...Ch. 4.5 - Prob. 5ECh. 4.5 - Show that the following matrices form a basis for...Ch. 4.5 - In each part, show that the set of vectors is not...Ch. 4.5 - Show that the following vectors do not form a...Ch. 4.5 - Show that the following matrices do not form a...Ch. 4.5 - Find the coordinate vector of w relative to the...Ch. 4.5 - Find the coordinate vector of v relative to the...Ch. 4.5 - Find the coordinate vector of p relative to the...Ch. 4.5 - In Exercises 1516, first show that the set S =...Ch. 4.5 - In Exercises 1718, first show that the set S =...Ch. 4.5 - In words, explain why the sets of vectors in parts...Ch. 4.5 - In any vector space a set that contains the zero...Ch. 4.5 - The accompanying figure shows a rectangular...Ch. 4.5 - The accompanying figure shows a rectangular...Ch. 4.5 - Consider the coordinate vectors...Ch. 4.5 - The basis that we gave for M22 in Example 4...Ch. 4.5 - Prove that if V is a subspace of a vector space W...Ch. 4.5 - In parts (a)(e) determine whether the statement is...Ch. 4.5 - In parts (a)(e) determine whether the statement is...Ch. 4.5 - In parts (a)(e) determine whether the statement is...Ch. 4.5 - In parts (a)(e) determine whether the statement is...Ch. 4.5 - In parts (a)(e) determine whether the statement is...Ch. 4.6 - In Exercises 16, find a basis for the solution...Ch. 4.6 - In Exercises 16, find a basis for the solution...Ch. 4.6 - In Exercises 16, find a basis for the solution...Ch. 4.6 - In each part, find a basis for the given subspace...Ch. 4.6 - Find the dimension of each of the following vector...Ch. 4.6 - a. Show that the set W of all polynomials in P2...Ch. 4.6 - Find a standard basis vector for R3 that can be...Ch. 4.6 - Let {v1, v2, v3} be a basis for a vector space V....Ch. 4.6 - The vectors v1 = (1, 0, 0, 0) and v2 = (1, 1, 0,...Ch. 4.6 - Find a basis for the subspace of R4 that is...Ch. 4.6 - Let S be a basis for an n-dimensional vector space...Ch. 4.6 - Let S = {v1, v2,, vr} be a nonempty set of vectors...Ch. 4.6 - State the two parts of Theorem 4.6.2 in...Ch. 4.6 - In each part, let S be the standard basis for P2....Ch. 4.6 - In parts (a)(k) determine whether the statement is...Ch. 4.6 - In parts (a)(k) determine whether the statement is...Ch. 4.6 - In parts (a)(k) determine whether the statement is...Ch. 4.6 - In parts (a)(k) determine whether the statement is...Ch. 4.6 - In parts (a)(k) determine whether the statement is...Ch. 4.8 - In Exercises 34, determine whether b is in the...Ch. 4.8 - In Exercises 78, find the vector form of the...Ch. 4.8 - In Exercises 910, find bases for the null space...Ch. 4.8 - In Exercises 1112, a matrix in row echelon form is...Ch. 4.8 - In Exercises 1415, find a basis for the subspace...
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