1,975 Answered Questions for the topic linear algebra

Linear Algebra Matrix Determinant

11/06/17

Finding det of a matrix after row operations.
Given a 4x4 matrix where R1: a b c d, R2: e f g h, R3: i j k l, R4: m n o p. We know that the determinant of this matrix is 9. What would the new determinant be if the matrix was transformed into... more
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Linear Algebra

11/01/17

Linear algebra
How to determine whether the vectors u:(1,-1,4) , v:(-2,1,3) , w:(4,-3,5) span R^3     ???
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Linear Algebra Addition Property

10/11/17

What operator preserves the addition?
  Per example, these are operators that do not preserve the addition:   Ln (a+b) is not = ln a + ln blike (a+b)^3 is not = a^3 + b^3Maybe it has something with linear algebra since this question... more
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10/01/17

s(t) = 6000 - 500t when the domain is 2 and 7
Please Help! An approximate linear model that gives the remaining distance, in miles, a plane must travel from San Diego to Brussels is given by the function: s(t) = 6000 - 500t (12hrs) where s(t)... more
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Linear Algebra Math

09/29/17

Linear Algebra Question
Let T: R2→R2 be the linear transformation that first rotates points clockwise through 30∘ and then reflects points through the line y=x. Find the standard matrix A for T.   A = [] ?
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Linear Algebra Math Math Help Vectors

09/23/17

Assume u4 is not a linear combination of {u1,u2,u3}
Assume u4 is not a linear combination of {u1,u2,u3}   A. {u1,u2,u3,u4} is never a linearly dependent set of vectors. B. {u1,u2,u3,u4} could be a linearly independent or linearly dependent set of... more
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Linear Algebra

09/12/17

How do I prove this is a subspace ?
Prove that a subset W of a vector space V is a subspace of V if and only if W ≠empty and whenever a∈ F and x,y ∈W then ax∈W and x+y∈W
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Linear Algebra Math College Algebra Proof

09/10/17

How do I prove that ax+by+cx=dx+ey?
x,y,z ∈ ℝ3   and  x+y+3z=0   How do I prove ax+by+cz=dx+ey, if d and e are real numbers chosen to fit the equation? Thank you very much if you can help me! 
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Linear Algebra Math Math Help Vectors

08/30/17

Linear Algebra Question
the vector [-14,-7,19] is a linear combination of vectors [-3,-3,-3] and [10,9,-10] if and only if the matrix equation Ax = b has a solution x where     A = [?  ?]    and b = [?]       [?  ?]  ... more
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Linear Algebra

07/20/17

Are there any solutions?
Consider the following system   X1+X2+X3=-1 -X1          =-1 X1+X2-X3 =-1   Without solving the system, can you tell if there are any solutions? If so, how many?  
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Linear Algebra

05/18/17

What is the x axis? What is the y axis
The machine can stuff a batch of envelopes in 5 hours.  How long would it take the machines to stuff 10 batches of envelopes?  14 batches of envelopes?   I know one equation is 5*10 & other... more
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Linear Algebra Algebra 2 Algebra Mathematics

05/08/17

If A is a matrix of order 1 x 3, B transpose is a matrix of order 1 x 3 , then it is possible to carry out the operation?
The choices are ( A + B , B transpose + A transpose , AB(transpose) , AB. I know that A + B and B transpose + A transpose is wrong. My teacher said that AB is the correct answer but why not also... more
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Linear Algebra

05/01/17

Scalar triple prosuct
 Suppose that u•(vxw) = 3 , find u•( wxv)  . Please give everyone a detailed explanation on how to solve !
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Linear Algebra

04/16/17

Consider the homogeneous linear system and express the solution set of this system as a span of a sequence of vectors.
x1 + x2 + 2x3 + 2x4 = 0 x1 + 2x2 + x3 + 3x4 = 0 x1 + 3x2         + 4x4 = 0
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Linear Algebra Algebra 2 Algebra Hard To Do

04/15/17

Very Hard Algebra Question
I Found an uncommon linear equation from my math book   Given :  X1 + 4X2 + 9X3 + 16X4 +25X5 + 36X6 +49X7 = 1 4X1 + 9X2 + 16X3 + 25X4 + 36X5 + 49X6 + 64X7 = 12 9X1 + 16X2 + 25X3 + 36X4 + 49X5... more
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Linear Algebra Vectors

04/14/17

Find an equation for the plane that passes through (2,4,-1) and contains the line of intersection of the planes x-y-4z=2 and -2x+y+2z=3
I have no idea what Im doing wrong but I keep getting the wrong answer. What I did first was find two points. So I set z=0 and x=0 . Then I created two vectors and did the cross product for ABxAC... more
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03/29/17

Assuming that the students can sell every box that they order, how many boxes of each should they order to maximize profit if they cannot order more than 1950 b
Students are having a fundraiser to help pay for a trip. Selling candy yields a profit of $2.45 while selling a box of pretzels yields a profit of $2.70. The demand for pretzels is at least twice... more
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Linear Algebra

03/28/17

Suppose A and B are 4x4 matrices such that detA=-2 and detB=3 , find det [ A^3*(detB^-1)]
Suppose A and B are 4x4 matrices such that detA=-2 and detB=3 , find det [ (A3)det(B-1 ) ]    I dont understand how to find det(detB-1) . What is the property for this?
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03/27/17

Simplex Tableau (word problem)
A Gamestop sells the following consoles: PS4's, XboxOne's, and Nintendo Switches. For each PS4 it stocks, it needs to have 6 games on hand, for each XboxOne it needs to have 5 games, and for each... more
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Linear Algebra

03/20/17

Linear equation percent
Martha invested a total of $48,000 in two different funds. One fund earned 10.5% interest and the other earned 12% in one year. After that year her account showed $5520 in interest. How much did... more
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Linear Algebra

03/20/17

Linear equation with money
Geiger had a total of twenty eight $5 and $10 bills. If the total amount of money in his pocket is $180 how many of each bill did he have?
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03/12/17

Confusion with differential equation applied as a matrix
http://i.imgur.com/PknZsfZ.png   I'm confused on why the first row has values 0 + yk+1 + 0 and the second row has 0 + 0 + yk+2
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Linear Algebra

03/02/17

Find the determinant using row reduction method
A= [ 2 -1 4 3 ] [ 2 1 0 1 ] [ 3 -4 1 2 ] [ 1 2 3 -1]
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Linear Algebra

02/21/17

Assuming all matrices are nxn and invertible solve for D ? Is my answer right?
ABCT DBAT C= ABT    My answer is (CT)-1B-1 BT C-1 (AT)-1 B-1 
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Linear Algebra

02/19/17

Assuming all matrices are nxn and invertible Solve for D ( inverses; algebraic properties of matrices) Is my answer right ?
CT B-1 A2 BAC-1 DA-2 BT C-2 = CT   My answer is : D= BA-2 B-1 A-1 CA2 (BT)-1 C2
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