117 Answered Questions for the topic Linear

Linear Algebra

03/23/15

Solve the equation

-3(4y-5)=-7(-5-2y)
Linear Algebra

03/23/15

Solve the equation

-3(9y+2)=2(-4y-7)

03/04/15

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)... more

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]    

11/25/14

Describe all solutions of Ax=0

Let A= [1 -4  5  4              2 -8 10 8] Describe all solutions of Ax=0.   
Linear Algebra Vector

11/25/14

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]  

11/16/14

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?  

11/16/14

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 

11/15/14

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
Linear Vectors Relation

11/13/14

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... more
Linear Algebra Vectors

11/12/14

Find two linearly independent vectors perpendicular to vector v

Find two linearly independent vectors perpendicular to the vector v=[-2,3,-5]

11/12/14

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=?
Linear Algebra Vectors

11/12/14

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=?
Linear Algebra Vectors

11/12/14

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

11/09/14

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
Linear Algebra Distance

11/02/14

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=?

10/31/14

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... more

10/29/14

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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