1,975 Answered Questions for the topic linear algebra

Linear Algebra Algebra Word Problem

08/19/20

How many ounces of each will be used if the juice drink is to be sold in 5​-ounce ​cans?
A juice company sells apple juice for 12 cents an ounce and apple drink for 6 cents an ounce. They wish to market and sell for 10 cents an ounce cans of juice drink that are part juice and part... more
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Linear Algebra Algebra Word Problem

08/19/20

The school is how many ​mile(s) from their house.
A brother and a​ sister, Sofia and​ Daniel, jog to school daily.​ Sofia, who is​ older, jogs at 10 miles per hour. Daniel jogs at 6 miles per hour. When Sofia reaches the​ school, Daniel is 3/4... more
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08/19/20

Please help me with this question!
Use the Laplace Method to solve the following IVP:                                    Compute     and its Inverse Laplace Transform 
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08/19/20

Someone Please help me. Please
A super large tank was initially filled with brine solution of 20 liters.  At some point, fresh water starts to flow in at a rate of 8 liters per minute, and the well mixed solution flows out at... more
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08/19/20

select all 2nd order, linear, non-homogeneous ODEs with constant coefficients

From below choices, select all 2nd order, linear, non-homogeneous ODEs with constant coefficients whose correct form of a particular solution is:A.) B.) C.) D.)
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08/19/20

Please help!!!!
From below choices, select the correct general solution for the following Separable ODE:A.) ,   is an arbitrary constant.B.),    is an arbitrary constant.C.),     is an arbitrary  constant.D.),  C... more
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08/19/20

Please help with 1st-order equations

From below choices, select all 1st-order equations that can be classified as an Exact ODE.A.)B.)C.) D.)
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08/19/20

Please help me with this question!
Select all 1st-order ODE(s) from below choices that are classified as a Homogeneous ODE. A.)B.)C.)D.)
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Linear Algebra

08/19/20

Which of the following sets of vectors are linearly independent?
A. [0 0], [-6 9]B. [7 -4], [6 -9], [-8 -2]C. [-6 8 7], [-4 6 -9], [10 -14 2]D. [9 6 2], [0 1 -8], [3 4 -7]E. [4 9 0], [-7 -5 0], [-3 2 0]F. [3 -1 -2], [-1 5 -8]
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Linear Algebra

08/19/20

If they are linearly dependent, determine a non-trivial linear relation - Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds.
Let A= [3 -3 -2 -3], B=[33 -30 -10 -24], C=[9 -7 1 -4], D=[3 -2 1 -1]___A+___ B+___ C+ ___D=0
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Linear Algebra

08/19/20

Let W be the set of all vectors of the form:
Let W be the set of all vectors of the form:[2s+t 5s-4t 3s+2t 4s-t] Find vectors u and v such that W=Spanuv 
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Linear Algebra

08/19/20

Find the coordinate vector
of x= [-2 -2 -3] with respect to the basis B=([1 6 2], [0 1 -7], [0 0 1]) or R3[X]B=
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Linear Algebra

08/19/20

are linearly independent if and only if k=/
The vectors v=[-2 -1 -5] , u=[2 -2 -8+k] and w= [4 -7 1] are linearly independent if and only if k=/
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Linear Algebra

08/19/20

Find a linearly independent set of vectors that spans the same subspace of R4 as that spanned by the vectors
[1 -2 2 -3], [0 3 -1 3], [-2 -1 -6 3], [1 -4 -1 -3]
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Linear Algebra

08/19/20

For what value of h is y in the plane spanned by v1 and v2?
Let v1= [-2 3 2] , v2= [4 -4 -5] , and y= [-18 19 h]
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Linear Algebra Vectors

08/15/20

Finding equations of two planes given the equation of the intersection line between them.
I have been given the the equation of an intersection line between two planes as g:x = (3x+1y+0z) + k(0x-2y-6z).I'm supposed to find the equation of the planes from this but i have no clue on how... more
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Linear Algebra

08/14/20

How can i easily find two 3-dimensional vectors that are 45 degrees apart?
I'm supposed to give two 3-diemensional vectors that are parallel to the x,y plane and have a 45 degrees angle between them and go through the point P(1|1|0). By using the arccos(x) method,my x is... more
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08/12/20

How do I find the the 3 eigenvalues of the following matrix ?
The 3 eigenvalues of the following matrix are the same.  Find the eigenvalues and determine the values for  and . Find the eigenvectors of the eigenvalues. Please show all steps.
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08/12/20

Solve the following 1st order linear homogeneous ODEs
Solve the following 1st order linear homogeneous ODEs:    The  eigenvalues of the coefficient matrix are:     
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08/12/20

Find all  critical point(s) of the following system
Find all  critical point(s) of the following system: Here    are constants.   Find the general expression of its Jacobian matrix and simplify its each entry as much as possible. Determine a pair of... more
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08/12/20

Please help me with this question
  is a square matrix. Select all statement(s) from below choices that are NOT correct.a.) If  then has only one solution for any b.) If  is an eigenvalue of  then we can always find two different... more
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Linear Algebra

08/11/20

Given the following function, find f(x+2). f(x)=2x^2−6x
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08/10/20

Someone please help with this question!
Use the method of Power Series to solve the following nonlinear ODE:Please only use Power series method.
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Linear Algebra Algebra 1 Algebra 2 Prealgebra

08/10/20

Trigonometry - Evaluating cube root
Hi peeps, how ya'll doing?I'm having a hard time to understand the following questions, would someone please explain them to me?Thank you so much in advance! Evaluate the cube root of z =... more
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08/09/20

Linear Algebra w/ Objective Function & Constraints
Quality Security runs a state prison. Part of their contract requires them to provide each inmate with at least the minimum nutritional requirements. After the inmate’s daily meals, it has been... more
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