1,977 Answered Questions for the topic linear algebra

Linear Algebra Calculus

11/05/21

Use Mathematica to verify.

Use the definition of the derivative to differentiate f (x) = ln x.
Linear Algebra Calculus

11/05/21

Use Mathematica to verify.

Use the definition of the derivative to differentiateV = 4/2 š…r3
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,... more
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... more
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... more
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... more
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 Algebra Matrix Matrices

10/17/21

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... more
Linear Algebra Math Mathematics

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 (š‘„ āˆ’ 2)^2 + š‘¦^2 + š‘§^2 = 4. You cannot use calculusPlease help and if you... more
Linear Algebra Math Algebra 1 Algebra 2

10/09/21

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 isĀ 8Ā units above theĀ x-axis. (Enter your answers as a comma-separated list of ordered pairs.)
Linear Algebra Math Algebra 1 Algebra 2

10/09/21

Write as an ordered pair the coordinates of the point whose y-coordinate is 5 and whose x-coordinate is āˆ’2.

Write as an ordered pair the coordinates of the point whoseĀ y-coordinate isĀ 5Ā and whoseĀ x-coordinateĀ isĀ āˆ’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 linearlyĀ dependent?1) {u+v,4u+4v}2) {6u,6v}3) {u,0}4) {u,u+v}

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