1,954 Answered Questions for the topic linear algebra

Linear Algebra

03/30/22

Evie is y inches tall ryder is 6.05 inches taller than evie together they are 91.05 inches tall write an equation

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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
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Linear Algebra Math Mathematics

03/27/22

Determine if the following vector is linearly dependent or independent.
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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 ] }
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03/26/22

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

03/26/22

area region of a graph
Find the area of the region bounded by the graphs of f(x)=5-x^2 and g(x)=x^2 -3
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Linear Algebra Calculus

03/26/22

improper integral
Evaluate the improper integral from negative infinity to infinity of f(x)=1/(1+x2)
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Linear Algebra

03/25/22

How to find the Basis?
Find the Subspace of W of R^4 spanned by the following vectors and dimensions of W. [-2]. [4]. [1]. [2][-1]. [2]. [2]. [1][-2]. [4]. [2]. [2][2], [-4], [2], [1],Basis?I answered the dimension... more
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Linear Algebra Algebra

03/23/22

Proof that an algebraic structure is a vector space.
Let R+ be the set of all real numbers that are strictly positive. Let x and y be two elements of R+ and let c be any real number. Define the sum of elements of R+ asx "+" y = xy (multiplication of... more
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Linear Algebra

03/21/22

A factory has a cost of production C(x) = 150x + 15,000 and a revenue function R(x) = 200x. What is the break-even point?
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Linear Algebra Linear Equations

03/21/22

a plumber charges a call out fee for $60 and $80 for every hour. A second plumber doesn't charge anything for call out fee but charges $99 for every hour. Write an equation for the second plumber

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Linear Algebra

03/17/22

Linear inequalities
Linear inequalities: three times a number decreased by seven is between -43 and 59find the interval for valid values
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Linear Algebra

03/15/22

write the equation of the line which has a slope of 7/8 and passes through (7,-5)
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Linear Algebra

03/14/22

In 2014, a school population was 1320. By 2022 the population dropped to 840. Assume the population is changing linearly. By how many students did the population drop between 2014 and 2022?

In 2014, a school population was 1320. By 2022 the population dropped to 840. Assume the population is changing linearly. By how many students did the population drop between 2014 and 2022? What is... more
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Linear Algebra Math

03/13/22

Find a 3x3 matrix A such that Ax = 8x for all x in R3
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Linear Algebra Math

03/11/22

Let e1 = (1,0), e2 = (0,1), x1 = (-8,7) and x2 = (-1,5)
Let T = R^2 --> R^2 be a linear transformation that sends e1 to x1 and e2 to x2If T maps (8,7) to the vector y..y = ?Enter your answer as an ordered pair, such as (1,2)
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Linear Algebra Math

03/11/22

Determine if the function is a linear tranformation.
Is f a linear transformation?Let f: R^2 --> R be defined by f(<x,y>) = 2x - 9y. Is f a linear transformation?a. f (<x1,y1>) + <x2,y2>) = ? f (<x1,y1) + f (<x2,y2>)... more
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Linear Algebra Math

03/11/22

Is f a linear transformation?
Let f be defined by f(x) = -6x. Is f a linear transformation?a. f (x+y) = ? f (x) + f (y) = ? Does f(x+y) = f (x) + f (y) for all x, y∈R?b. f (cx) = ? c (f (x)) = ? Does f (cx) = c (f... more
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Linear Algebra Math

03/06/22

Find a set of vectors {u,v} in R4 that spans the solution set of the equations:
w-x+2y-2z=04w+2x+y+z=0
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Linear Algebra

03/05/22

Find an equation of the line described below. Write the equation in​ slope-intercept form​ (solved for​ y), when possible. Through (1,8) ​, perpendicular to the y ​-axis
Must be written in slope intercept form
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Linear Algebra

03/04/22

write an equation in slope-intercept form
Write an equation in slope-intercept form for the following line:(-1,-13) and (0,19)
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