1,433 Answered Questions for the topic linear algebra

Linear Algebra

3d

linear algebra question3

Solve the system of equations by using LU method 2π‘₯ + 𝑦 + 3𝑧 = βˆ’1 6π‘₯ + 𝑦 + 9𝑧 = 5 4π‘₯ + 2𝑦 + 7𝑧 = 1
Linear Algebra

3d

linear algebra question 2

In the following linear system, determine all values of a for which the resulting linear system has (a) no solution; (b) a unique solution; (c) infinitely many solutions: π‘₯ + 2𝑦 + 𝑧 = 1 𝑦 + 𝑧 = 0... more
Linear Algebra Differential Equations

19d

Find eigenvalues and corresponding eigenvectors

Linear Algebra

28d

I have 4 problems like this one can someone complete this one so I can get a reference for the rest? Thank you.

Find the best fitting line to the given data points. (1,2), (2,3), (3,5)
Linear Algebra Calculus Trigonometry Algebra

04/23/22

maclaurin series

Find the first three nonzero terms in the Maclaurin series of f(x)= tan x.
Linear Algebra Calculus Trigonometry Algebra

04/23/22

Are there power series which diverge everywhere? If so, exhibit one. If not explain why it cannot happen.

Are there power series which diverge everywhere? If so, exhibit one. If not explain why it cannothappen.
Linear Algebra Calculus Trigonometry

04/23/22

Alternating Series Theorem

Use the Alternating Series Theorem to prove that the series which is the sum from n=0 toinfinity of an=(-1)n/n! converges
Linear Algebra

04/16/22

Find a 3x3 matrix A such that Ax = 6x for all x in R^3.

I'm entirely confused on how to approach this question. Any help would be appreciated!
Linear Algebra

04/15/22

Linear Algebra Question

Expand the set below to form a basis forΒ Β by adding vectors to the set.{[1,-3,2], [5,4,0] }The vector to add is ?
Linear Algebra

04/15/22

Linear Algebra Question

Determine if the set of vectors is a basis ofΒ . If not, determine the dimension of the subspace spanned by the vectors. {1,1,-1,1,1}, {-1,0,1,2,-1},{2,1,-2,1,2},{-2,1,2,1,-2},{1,2,-1,0,1}The... more
Linear Algebra

04/15/22

Linear Algebra question

Find the point on the line y+2x+1 that is closest to the point (3,5)
Linear Algebra Math

04/10/22

Find the value of h so that set {a1,a2,a3} does not span R3

a1 = [16 -16 -4], a2 = [h -13 -2], and a3 = [-21 15 3]
Linear Algebra Linear Equations

04/07/22

How to find the solution

Ali wants to surprise his wife Sara by presenting her some flowers, when he returns back from a work tour.He plans to spend exactly $24 on a bunch of exactly two dozen flowers.Sara loves lilies,... more
Linear Algebra

04/05/22

find the linear function with the following properties

f(-5)=1slope of f=-5
Linear Algebra Math

04/03/22

For which values of k does the matrix have one real eigenvalue of multiplicity 2?

Linear Algebra

03/28/22

How do I explain (in words) that basis B spans V, is linearly independent, and is a basis of V?

Let V be a vector space and basis B = {v1, . . . , vn} a subset of V . In complete sentences, explain what it means that(a) B spans V , if for every v ∈ V there are coefficients a1, . . . , an ∈ R,... more
Linear Algebra Math Mathematics

03/27/22

Determine if the following vector is linearly dependent or independent.

Linear Algebra Math Mathematics

03/27/22

Determine if the set of vectors is a basis of R5. If not, determine the dimension of the subspace spanned by the vectors.

{ [ -1 -1 1 -1 -1 ], [ 1 0 -1 -2 1 ], [ -2 -1 2 -1 -2 ], [ 2 -1 -2 -1 2 ], [ -1 -2 1 0 -1 ] }

limit of the sequence

Find the limit of the sequence an={sin(n)/n}, if it exists
Linear Algebra Calculus

03/26/22

length of a curve

Find the length of the curve y=x^3/2 from the point (1,1) to the point (4,8).
Linear Algebra Calculus Algebra

03/26/22

method of shells and volume of a solid

Use the method of shells to find the volume of the solid obtained by revolving the region bounded by y=2x^2 - x^3 and y=0 around the y axis.
Linear Algebra Calculus Algebra

03/26/22

method of disks

Rotate a circle of radius r around the x axis and use the method of disks to prove the formula for the volume of a sphere of radius r.
Linear Algebra Calculus

03/26/22

area of a region bounded(linear algebra)

When we find the area of a region bounded by an upper curve f(x) and a Lower curve g(x), we integrate f(x)-g(x). Analytically, how do we know that this integral is positive and so actually... more

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