1,975 Answered Questions for the topic linear algebra
Linear Algebra
11/02/21
A linear Algebra question
Let V be a finite-dimensional vector space over an algebraically closed field F.Suppose A is a commutative subalgebra of L(V, V ), i.e. if S, T ∈ A, and c ∈ F then• S + T ∈ A,• ST ∈ A,• cT ∈ A,...
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Linear Algebra
10/29/21
T/F: If A has full row rank, then AA^T must be invertible.
If A has full row rank, then AA^T must be invertible. True or False?
Linear Algebra Proofs
10/29/21
Show that u and v are orthogonal if and only if (||u+v||)^2 = ||u||^2+||v||^2.
Show that u and v are orthogonal if and only if (||u+v||)^2 = ||u||^2+||v||^2.
Linear Algebra Math
10/27/21
Math test question
On a certain test there are two types of questions – multiple choice questions worth 2 marks each and short answer questions that are worth 5 marks each. The test is out of a total of 64 marks. How...
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10/27/21
How to solve this problem(tanθ/θ) in squeeze theorem when limit is θ→0(positive).Please help i got stuck in this problem.
limθ→0+ tanθ/θ
Linear Algebra
10/27/21
For each question below, indicate whether the statement is true or false. If it is true, explain why. If it is false, provide a counter-example.
a. (2 points) True or False: If x is a vector in the null space of A then x will also be in the null space of M = AB. b. (2 points) True or False: If x is a vector in the null space of B then x...
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Linear Algebra
10/24/21
(a) The domain and range of each function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any (e) Oblique asymptotes, if any(0, 2) 3 х -3 -3
Linear Algebra
10/22/21
New comment on your question "Determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell why not. F(X)= 5x⁴ – πx³ + ½
Linear Algebra
10/21/21
1、Determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell why not. x⅔ – x² + 2
Linear Algebra
10/21/21
form a polynomial function whose real zeros and degree are given.Answers will vary depending on the choice of a leading coefficient. Zeros:–2, Multiplicity 2; 4, Multiplicity 1; degree 3
Linear Algebra
10/20/21
For h(x) = (x² + 8)(x² +9 )² determine the following: d. Determine the end behavior; that is, the power function that the graph of h resembles for large values of |x].
Linear Algebra
10/20/21
For h(x) = (x – 5)²(x + 4)³ determine the following: d. Determine the end behavior; that is, the power function that the graph of h resembles for large values of |x].
Linear Algebra
10/20/21
Find the smallest solution for which all four variables are positive integers
5x+ y+ z=K x+7y+ z=K x+ y+8z=K a. Express Equations (5) as a homogeneous linear system of three equations in four unknowns (x, y, z, and K), and show that the solution set has one arbitrary...
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Linear Algebra
10/19/21
1、Determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell why not.h(X)= √x (√x –1)
Linear Algebra
10/18/21
Let’s consider the subspace of a vector space of all functions of a variable t.
a) what are the coordinates of the function 3 sin t + 5 cos t = f(t) with respect to the basis {sin t, cost}?b) Find coordinates with respect to base {cos t, sin t}
Linear Algebra
10/18/21
form a polynomial function whose real zeros and degree are given.Answers will vary depending on the choice of a leading coefficient. Zeros:–4,–1,2,3; degree 4.
Matrices question
Hi I'm am struggling to answer the last question in my textbooks chapter...Three crop sprays are manufactured by combining chemicals A, B and C as follows:One barrel of spray P contains 1 unit of...
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10/14/21
Math Linear Algebra help
Find equations for all the planes that intersect the y-axis at y = 1 and the z-axis at z = 2, and are tangent to the sphere (𝑥 − 2)^2 + 𝑦^2 + 𝑧^2 = 4. You cannot use calculusPlease help and if you...
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Name any two points on a horizontal line that is 8 units above the x-axis. (Enter your answers as a comma-separated list of ordered pairs.)
Name any two points on a horizontal line that is 8 units above the x-axis. (Enter your answers as a comma-separated list of ordered pairs.)
Write as an ordered pair the coordinates of the point whose y-coordinate is 5 and whose x-coordinate is −2.
Write as an ordered pair the coordinates of the point whose y-coordinate is 5 and whose x-coordinate is −2.
Linear Algebra
10/07/21
Find general solution for the system of linear equations
2x+4y+z=3x+2y+2z=3x+2y+z=2
Linear Algebra
10/05/21
compute the following. If an answer does not exist, enter DNE.
Let A= [ 5 ] [ 1 ] [ 5 ]If possible, compute the following.A^TA=AA^T=
Linear Algebra
10/01/21
linearly dependent set
Let be a linearly independent set.Which of the following sets are linearly dependent?1) {u+v,4u+4v}2) {6u,6v}3) {u,0}4) {u,u+v}
Linear Algebra Functions
09/30/21
Writing equations of lines parallel and perpendicular to a given line through a point
Consider the line 4x+2y=-6.Find the equation of the line that is parallel to this line and passes through the point (4,4).Find the equation of the line that is perpendicular to this line and passes...
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How to find the geometric description of the system of equation?
For example, -x + y - 3z = -3x - y - 2z = 25x - 5y - 5z = 12How do I know if it is:a. three planes intersecting in a lineb. three planes with no common intersectionc. three planes intersecting at a...
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