1,954 Answered Questions for the topic linear algebra

Linear Algebra

08/24/20

Need to understand how to do this matricies.
For which values of A does the system corresponding to this matrix have a unique solution?X1 + 2X2 + X3 = 1-X1 + 4X2 + 3X3 = 22X1 - 2X2+ AX3 = 3
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Linear Algebra

08/23/20

linear equations
find a linear equation. It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers. The company has monthly expense of $350 for utilities and... more
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Linear Algebra Algebra Word Problem

08/21/20

They will always get 600 calories from carbohydrates. The individual says that they can be flexible about how many calories they consume in fats and proteins.
A medical professional is helping an individual balance their diet. The individual has asked for some certain foods to remain in their diet. They will always get 600 calories from... more
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Linear Algebra

08/21/20

form a basis for R3 if and only if k=/
The vectors:v1=[6 -1 0], v2=[-5 3 7], v3=[2 4 k]form a basis for R3 if and only if k=/
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Linear Algebra

08/21/20

Find a basis of the subspace of R4
Find a basis of the subspace of R4 defined by the equation −5x1+3x2−4x3−4x4=0
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08/20/20

Jacobian matrix of a nonlinear system
 is a Jacobian matrix of a nonlinear system   with a list of critical points.From below choices, select all critical points  that are classified as stable using the above Jacobian matrix.A.) B.)... more
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08/20/20

Can you please help with eigenvalues of matrix?
From below choices, select all correct approaches for finding the eigenvalues of matrixA.) First form a new matrix ,  compute its determinant and then find the roots of the polynomial equation: The... more
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08/20/20

Linear systems that have infinite many solutions.
From below choices, select all linear systems that have  many solutions.A.)B.) C.) D.) E.) F.)
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08/20/20

Please help with this question!
Solve the following linear, homogeneous system of ODEs:    the 3 eigenvalues of the coefficient matrix are: 
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Linear Algebra Algebra

08/20/20

finding the length and width of rectangles with only the perimeter given
When the length of a rectangle is x inches and the width is y​ inches, the perimeter is 28 inches. If the length is tripled and the width is doubled​, the perimeter becomes 74 inches. Find the... more
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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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