Elementary Linear Algebra: Applications Version
12th Edition
ISBN: 9781119282365
Author: Howard Anton, Chris Rorres, Anton Kaul
Publisher: WILEY
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Matching 10 points
Factor and Solve
1)x3-216 0, x = {6,[B]}
2) 16x3 = 54 x-[3/2,[D]]
3)x4x2-42 0 x= [ +/-isqrt(7), [F] }
4)x+3-13-9x x=[+/-1.[H]]
5)x38x2+16x=0, x = {0,[K}}
6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3))
7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}}
8) 5x³-3x²+32x=2x+18 x = {3/5, [S]}
[B]
[D]
[F]
[H]
[K]
[M]
[Q]
+/-2 sqrt(2)
+/- i sqrt(6)
(-3+/-3 i sqrt(3))/4
+/- 1
+/-sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
[S]
The only problems I need help with ae the last 8 ones, Thanks
Graph without using the calculator
y-1 = | x+4 |
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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