True or False (a). If T(x) = Ax for some 3×5 matrix A, then T is a linear transformation from R5 to R3. (b). An square matrix with no zero entries must be invertible. (c)...

True or False (a). If T(x) = Ax for some 3×5 matrix A, then T is a linear transformation from R5 to R3. (b). An square matrix with no zero entries must be invertible. (c)...

Per example, these are operators that do not preserve the addition: Ln (a+b) is not = ln a + ln b like (a+b)^3 is not = a^3 + b^3 Maybe...

W1= First row is ( a , a+b ) Second row is ( c , b ) W2= First row is ( d , 2d) Second row is 3e , e) I know that intersection just means whats common in both but I dont...

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)...

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 = [] ?...

Determine whether or not TT is onto in each of the following situations: 1. r<s 2. r>s 3. r=s A. T is not onto. B. T is onto. C. There is...

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...

Let P3(R) be the vector space of all real polynomials of degree less than or equal to three. Let T be a linear operator on P3(R) defined by T(f(x)) = f'(x) + f′′(x), where f′(x) is the differentiation...

It is for linear algebra and has to do with vectors and the relatonship between them

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...

Let x= 6 -4 -2 and y= -6 0 4 v = u = w =

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...

V=C(TR) f1 (x)=ex f2 (x)= e3x f3 (x)= x(x-1)

The set of all upper triangular nxn matrices is a subspace W of Mnxn (F). Find a basis for W . What is the dimension of W ?

You have a subscription to a music downloader that cost $16 dollars a month. This subscription allows you to download 30 songs a month. Find the slope of the line

I am asked to turn it into a sum of squares (so that I can affirm that no matter the value of v1,v2,u1,u2, the answer to the formula will be positive). How do I turn this, or any expression, into...

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)...

Consider the following system X1+X2+X3=-1 -X1 =-1 X1+X2-X3 =-1 Without solving the system, can you tell if...

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

Consider the linear system x1+2x2+x3+2x4-x5=-2 2x1+3x2+3x3-2x4+2x5=-3 x1 +2x3+x4+x5=-1 If...