1,975 Answered Questions for the topic linear algebra
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...
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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...
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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
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...
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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 ...
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determining subspaces
determine if {A ∈ M3x3 (R) : Tr(A) = 0 } is a subspace of M3x3 (R)
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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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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...
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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...
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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...
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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
...
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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...
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Begging you to help me! Work due in 10 min
1. Write a function f(x) that represent a gym membership cost of $20 per month for x months. 2. Explain how a fee increase of 25% can be represented for the gym membership. Use g(x) for the new...
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Linear Algebra
10/02/16
Linear algebra 3
Given the set of all vectors in R^3 such that ||U||∞ < 10 , does this form a subspace of R^3 ?
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Linear Algebra Matrices
10/02/16
find the determinant
if det a c
b d = 5
what is det 2a 3d
2b 3c
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Linear Algebra
10/01/16
Linear algebra 2
Suppose that you can see that a subset of a vector space does not have the zero vector in it. Why is it a trivial consequence of this that the subset is not a subspace?
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Linear Algebra
09/27/16
Linear algebra
Given a vector space V and a subset of that vector space S, if you squint your eyes and only look at those vectors inS, then S is a subspace of V if S itself is a vector space. If you add two...
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Linear Algebra
09/18/16
Linear Algebra
What is the multiplicative inverse of the complex number 0.2∠0.3
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Linear Algebra
09/18/16
linear algebra
For the complex numbers w and z, is Im(w+z)=Im(w) + Im(z). Prove
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