1,954 Answered Questions for the topic linear algebra

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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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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Linear Algebra

02/19/17

Find all values of a,b,c in order for A to be symmetric
A= [ 4   a-b   6]     [ 2    3    b+c ]   [ a-b+c  5   -2] What I dont imderstand is how you get this as an answer : a-b=2 a-b+c=6 b+c=5
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Linear Algebra

02/19/17

Find elementary matrices such that E1A= B
A= [2 -1 4] [ 3 1 -1] [ 4 2 1 ] B= [ 2 -1 4 ] [ 3 1 -1 ] [ 0 4 -7 ] Please explain me the steps. I dont understand what I have to do. 
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Linear Algebra

02/18/17

Simplify (2AC^-1)^-1 (AC^-1) (AC^-1)^-1 AD^-1 ( linear algebra)
Simplify ( 2AC-1)-1 (AC-1) (AC-1)-1 AD-1    First off, Im not even sure what the topic of this question is. In my book , it just " simplify" so im having a hard time finding a youtube video on... more
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Linear Algebra

02/18/17

Solving for A ( with inverses and transpose)
(2AT + 3T)-1 = [-4 3 ]                       [ 1 -1 ]    Please show me steps. I dont understand how to undo the inverse and the transpose and get rid of the 2 and 3
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Linear Algebra

02/02/17

What are the solutions of this matrix ?
x+y+z=1 2x+2y+2z=2 x+y+z=0   Im not sure if its infinite or no solution
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Linear Algebra

01/31/17

Let A be any mxn matrix and let 0 be the mxn matrix each...( linear algebra)
Let A be any mxn matrix and let 0 be the mxn matrix each of whose entries is zero . Show that if kA=0 , then k=0 or A=0.    I am very lost ! Please help me show this because I think its gonna be... more
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Linear Algebra

01/26/17

Matrices- Determine the values of a for which the the system has no solutions,exactly one solution, or infinitely many solutions.
x+3y-2z=1 x+7y-4z=7 2x+4y+(a^2-28)z=a+4   I really have no idea what to do.Please show me steps 
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Linear Algebra Matrix Matrices Determinant

01/17/17

Determine whether or not the determinant is 0.
Given a 3 × 3 matrix B with real entries, suppose that the system of linear equations determined by  B(x1 x2 x3) = (0 1 1) (they should be column matrices.) has infinitely many solutions. Determine... more
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Linear Algebra

01/14/17

How to write a fraction using a table?
Lets say I have this table,    X         y2        10 4         6 6         2 8        12 Would the x-values or the y-values be the numerator/denominator? For example,   2/10 or 10/2? x  ... more
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Linear Algebra Matrix Matrices Vector

12/26/16

determining subspaces
determine if {A ∈ M3x3 (R) : Tr(A) = 0 } is a subspace of M3x3 (R)
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Linear Algebra Vector Plane Vectors Spanning

12/26/16

determining the span
Consider the vectors u = x2+ 2x + 3 , v = 2x2 + 4x + 5 in R[x]. Decide if w = 2x2 + 4x + 5 is in the span of u and v. 
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Linear Algebra Vector Plane Vectors

12/22/16

Proving Subspaces
by checking closure under the zero vector, closure under addition and closure under scalar multiplication; investigate if     W = { (w1, w2, w3) ∈ R3 : 6w1 - 5w2 + 4w3 = 0 } is a subspace of R3 ?
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11/17/16

Linear Equations
Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.   On the y-axis of this graph it is numbered 50-300, counting by 50's, and... more
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11/06/16

Use the linear equation from part (a) to estimate Sven's weight from 50 days ago.
Sven has been on a diet for a couple of months now. When he got on the scale this morning, he weighed in at 242.4 lbs, a marked improvement over the 252 lbs that he weighed 16 days ago.(a) Suppose... more
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Linear Algebra Matrix Matrices

10/24/16

What is the rank of a matrix with linearly dependent columns? And what's the null space?
Let's say that a and b are independent vectors, while x and y are non-zero scalars.    Suppose there is a matrix A = [a  xa  b  yb]. What would the rank be? Since there are 2 independent columns... more
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Linear Algebra

10/09/16

matrix with respect to bases given
f is a linear transformation from P2 to R3 whose standard matrix is                                                                                                  A=  1     0   −1              ... more
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Linear Algebra

10/08/16

linear transformation
A mapping ?? : R3 → R3 is defined by ??(??1,??2,??3)=(??1 +??2,??2 +??3,??3 +??1). (i) Show that ?? is a linear transformation. (ii) Write down the standard matrix of ?? with respect to the... more
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