Let us assume that every vector in S_2 is a linear combination of vectors in S_1. Question: Does that mean that S_1 and S_2 are bases for the same subspace of V? I know that the...
Let us assume that every vector in S_2 is a linear combination of vectors in S_1. Question: Does that mean that S_1 and S_2 are bases for the same subspace of V? I know that the...
Linear Inequalities: Solve, & give interval notations, show on number line: | 2x+1 | < 3 If I solved it correctly, I got x<1,...
-3(4y-5)=-7(-5-2y)
-3(9y+2)=2(-4y-7)
3(5-h)-2(h-2)=-1
3x + y = 18 2x – y = 7 5x + 3y = 21 2x + 7y = 20 5x + 3y = 31 2x + y = 12 2x + 3y = 1 -x + 2y =...
Solve the system x1+x2-4x3=3 3x1+4x2+3x3=-8 x1=? x2=? x3=?
In The Moment Café, a local eatery, Chef Marie has noticed that the ordering of supplies was not correct last month. This month, she wants to maximize her profit while ordering the correct amount...
What are the equations of the boundary lines in the form y=... for these two inequalities I) 2y+3x> 11 II) 2y> 10x-7 The second equation should...
Find a basis of the subspace of R4 defined by the equation 5x1+3x2+2x3-8x4=0
Let v1= [1,2,-1], v2=[-2,-1,1], and y=[4,-1,h]. For what value of h is y in the plane spanned by v1 and v2?
Find two linearly independent vectors perpendicular to the vector v=[-2,3,-5]
Among all the unit vectors u= <x,y,z> in R3, find the one for which the sum x + 2y + 5z is minimal. u=<>?
Find a basis of the subspace of R4 consisting of all vectors of the form [x1, -2x1+x2, -9x1+4x2, -5x1-7x2]
Let A= [1 -4 5 4 2 -8 10 8] Describe all solutions of Ax=0.
Express the vector v=[6,2] as a linear combination of x=[-4,-1] and y=[-5,-1] v=?x+?y
Find all 2x2 matrices A that are symmetric and whose squares are equal to themselves
Let H be the set of all vector of the form [-4s,-3s,5s]. Find a vector v in R3 such that H=span {v} v=?
Find a set of vectors {u,v} in R4 that spans the solution set of the equations x-y+z-3w=0 x+2y-z+3w=0 u=? v=?
Let A= [0,3,0,5] B=[2,-3,-1,-1] C=[2,21,8,33] D=[-2,6,4,4] they are linearly dependent, determine a non-trivial linear relation