1,975 Answered Questions for the topic linear algebra

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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Linear Algebra

03/04/22

Finding the slope for pair of points
What is the slope for the following pair of points:(-10,8) and (16, -9)
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Linear Algebra

03/03/22

Linear transforamtion
Suppose T and U are linear transformations from Rn to Rn such that T .Ux/ D x for all x in Rn . Is it true that U.T x/ D x for all x in Rn ? Why or why not?
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Linear Algebra

03/02/22

A tree planted today has a height of 5 feet and grows one foot each month. 1. Is the height of the tree a function of the number of months? Explain your reasoning. 2.
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Linear Algebra Math Algebra

03/02/22

In a class of 42 students, the number of boys is 16 less than the girls. Find the number of boys and girls in the class.
a. Let the number of girls represented by _________b. then, the number of boys is _________c. Equation __________d. number of girls _____________e. number of boys___________
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Linear Algebra

03/02/22

Find coefficients a, b and c such that the graph of the function f(x) = ax^2 + bx + c passes through the points (0, −2),(1, 1) and (2, 3).
Find coefficients a, b and c such that the graph of the function f(x) = ax2 + bx + c passes through the points (0, −2),(1, 1) and (2, 3).
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Linear Algebra

03/01/22

Linear Algebra - Solve the system of equations using Gaussian Elimination by hand
Solve the system of equations using Gaussian Elimination by hand. Make sure you continue with the process until your augmented system in RREF form (Row Reduced Echelon Form). Write the solution... more
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Linear Algebra

02/28/22

inequality problems

Yoko is choosing between two exercise routines.In Routine #1, she burns 30 calories walking. She then runs at a rate that burns 6.75 calories per minute.In Routine #2, she does only running,... more
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Linear Algebra Math

02/27/22

If the determinant of a 4×4 matrix A is det (A) = 2, and the matrix B is obtained from A by multiplying the second row by 9, then det (B) = ?
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Linear Algebra

02/25/22

Let L and Q be lines in R^3 given by the equations: Line L: (x y z)=(1 2 0)+t(2 -3 5) and line Q: (x y z)=(3 -13 13) +r(2 3 1). Are L and Q perpendicular? Justify your answer.

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Linear Algebra

02/24/22

Suppose C is an upper triangular matrix where (1,1)-entry equals 0. What can you conclude about det(C)?
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