1,977 Answered Questions for the topic linear algebra
Linear Algebra
04/29/21
Linear Algebra (Vector)
Tell whether or not W can be written as a linear combination of the vectors in S. If yes, find the values of a , b and c ∈ R.Problem #1.W(-4, 3, 5) and S = { (1, -1, -2), (5, -4, -7), (-3, 1, 0)}
Linear Algebra
04/29/21
Linear Algebra (Vector)
Determine whether or not the set of vectors identified is a subspace of:#1. R3 if W is the set of all vectors of the form (x, y, 1) under the usual vector addition and scalar multiplication.
Linear Algebra
04/28/21
Linear Algebra: Orthogonal basis additon
Let W = span([-1,3,0], [2,2,1]), and v = [5,1,2]. Write down v as sum of two vectors v1 in W and v2 in W complement
04/23/21
Use a graphing utility to perform the indicated operations.
A = 2 0 and B = 5 3 4 5 1 4B2 − 3B + 7Ɪ2= _____ ______ ______ ______
Linear Algebra Linear Equations
04/23/21
how do I solve this? 2 (x+3) > 6(x-1)
Linear Algebra
04/21/21
if the slope is -7. what is the perpendicular slope?
Linear Algebra
04/21/21
Need help with this proof
Let {~v1, · · · ~vm} ⊂ Rn be a linearly independent set. Let L ∈ Rm×n . Prove that, if null(L) = {~0}, then {L~v1, · · · L~vm} ⊂ Rm is a linearly independent set.
Linear Algebra
04/20/21
Given an example of a set S with two binary operations such that S is closed under those binary operations but is not a vector space with respect to them.
Linear Algebra
04/20/21
Determine whether the set {(2, 0, 1), (1, 1, 0), (0, 0, 1)} spans R3. Is this set linear independent?
Determine whether the set {(2, 0, 1), (1, 1, 0), (0, 0, 1)} spans . Is this set linear independent?
Linear Algebra
04/20/21
See subsets in Description below, graph these subsets separately and determine whether either of them is a subspace of V.
Consider as a vector space with the standard operations, and the subsets W1:={(x, y) ∈ V | xy = 0} and W2:={(x, y) ∈ V | x + y = 0} of V. Graph these subsets separately and determine whether...
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Linear Algebra
04/17/21
Question from the topic "Linear Algebra"
Consider the vector space V = R+ × R+ × R+, where R+ is the set of all positive real numbers withaddition and scalar multiplication defined by (x1, y1, z1) ⊕ (x2, y2, z2) =...
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State the elementary row operations applied to the first augmented matrix A to transform it to its row-equivalent matrix B.
A =
1
−2
7
6
4
1
B =
1
−2
7
0
16
−41
A: 2R2 + R1B: 5R2 - 15R1C: (-6)R1 + R2D: Interchange R1 and R2E: None of these
Use matrices and Gauss-Jordan elimination to solve systems of linear equations
The matrix
1
0
4
0
0
1
−6
−1
0
0
−5
5
can be reduced in the row echelon form
1
0
0
a
0
1
0
b
0
0
1
c
where a, b, and c are real numbers. Find a. (Enter an exact number.)a = ____
Linear Algebra Mathematics
04/14/21
17 apples and 12 oranges cost $10.44. 3 apples and 4 oranges cost $2.84. How much does 1 apple cost? How much does 1 orange cost?
Linear Algebra
04/09/21
math help please
The Simmons family and the Taylor family each used their sprinklers last summer. The Simmons family's sprinkler was used for 20 hours. The Taylor family's sprinkler was used for 15 hours. There was...
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Linear Algebra
04/05/21
What is seven more than a number is greater than seven?
seven more than a number is greater than seven
04/03/21
Determining possible values of determinant A
Let A be a 3 x 3 matrix and let 1/8A^3 - 1/2A = 0. What are all possible values of detA?A) -8, 2, 0B) -8, 8, 0C) -4, 2D) 4, 2E) 2, 0
Linear Algebra Math
03/30/21
Price of Pretzel
If a beer and a pretzel costs $2.08. If the beer costs two dollars more than the pretzel, then what's the cost of the pretzel?Solve using one variable.Solve using a two system equation and two...
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Linear Algebra
03/30/21
⟨f,g⟩=∫10f(x)g(x)dx in the vector space C0[0,1] of continuous functions on the domain [0,1] to find ⟨f,g⟩, ∥f∥, ∥g∥, and the angle αf,g between f(x) and g(x) for f(x)=−10x2−9 and g(x)=9x+3
Linear Algebra
03/30/21
Use the inner product ⟨f,g⟩=f(−2)g(−2)+f(0)g(0)+f(1)g(1) in P2 to find the orthogonal projection of f(x)=2x2+3x+8 onto the line L spanned by g(x)=3x2−5x−9.
Linear Algebra
03/29/21
Find the norm ∥x∥ of x=(1,−1/2,1/4,−1/8,1/16,…,1/((−2)^n−1),…) in ℓ2.
Linear Algebra
03/29/21
In R4 let S=span((1,0,1,1)T,(0,2,1,0)T).
Linear Algebra
03/27/21
Algebra (Linear Algebra)
A tourist has a collection of 33 coins consisting of Belgian francs ( 2 cents each), British shillings (14 cents), and German marks (25 cents each). The total value of the collection is $6.33. He...
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