117 Answered Questions for the topic Linear
Please help solve these simultaneous linear equations.
3x + y = 182x – y = 75x + 3y = 212x + 7y = 205x + 3y = 312x + y = 122x + 3y = 1-x + 2y = -47x + 2y = 172x – 2y = 1
01/15/15
linear inequalities
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 a greater of equal to sign.
2)...
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11/27/14
Find the characteristic polynomial of the matrix
Find the characteristic polynomial of the matrix
[4 -2 0
0 5 -4
2 -5 0]
Describe all solutions of Ax=0
Let A= [1 -4 5 4
2 -8 10 8]
Describe all solutions of Ax=0.
Find a basis of the subspace R4 consisting of all vectors
Find a basis of the subspace of R4 consisting of all vectors of the form [x1, -2x1+x2, -9x1+4x2, -5x1-7x2]
Describe all solutions of Ax=0
Let A= [1 -4 5 4
2 -8 10 8]
Describe all solutions of Ax=0
x=x2 ?+x3 ? +x4?
Find a set of vectors
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=?
11/16/14
Determine a non trivial linear relation
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
For what value of h is y in the plane spanned by v1 and v2?
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?
11/13/14
Express the vector v as a linear combination of x and y
Express the vector v=[6,2] as a linear combination of x=[-4,-1] and y=[-5,-1].
v=?x+?y
Determine a non trivial linear relation
Let A=[0,3,0,5], B=[2,-3,-1,-1], C=[2,21,8,33], and D=[-2,6,4,4]
We know that they are linearly dependent
1) Determine a non-trivial linear relation (a non trivial linear relation is three...
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Find two linearly independent vectors perpendicular to vector v
Find two linearly independent vectors perpendicular to the vector v=[-2,3,-5]
For what value of h is y in the plane?
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?
h=?
Find vectors u and v
Let W be the set of all vectors of the form [2s-4t,-2s,-2s+t,3s-3t]
Find vectors u and v such that
W=span {u,v}
u=?
v=?
Find a vector in R3
Let H be the set of all vectors of the form [-4s,-3s,5s].
Find a vector v in R3 such that H=Span{v}
v=?
11/12/14
express the vector v as a linear combination
Express the vector v=[6,2] as a linear combination of x=[-4,-1] and y=[-5,-1]
v=?x+?y
Find a vector v in R3 such that H=span(v)
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=?
11/09/14
Express the vector v as a linear combination of x and y
Express the vector v= [6,2] as a linear combination of x= [-4,-1] and y[-5,-1]
v=?x+?y
Find the shortest distance from the point P
Find the shortest distance from the point P= (7, 6, 4 ) to a point on the line given by l: (x,y,z) = (-7t,7t,1t).The distance is=?
Find the shortest distance from Point P
Find the shortest distance from the point P= (7, 6, 4 ) to a point on the line given by l: (x,y,z) = (-7t,7t,1t).
The distance is=?
10/30/14
The crossproduct of the dots are
You are looking down at a map. A vector U with |U| 1 points north and a vector V with |V|= 9 points northeast. The crossproduct UxV points:A) south?B) northwest?C) up?D) down ?
The magnitude...
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Among all the unit vectors find the one for which the sum is minimal
Among all the unit vectors u= <x,y,z> in R3,
find the one for which the sum x + 2y + 5z is minimal.
u=<>?
10/29/14
Find a unit vector with positive first co-ordinate
Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P = (-5, -5, -4),
Q = (-1, -1, 0), and R = (-1, -1, 5).
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