117 Answered Questions for the topic Linear

Linear Algebra Theta Tan

10/29/14

Find tan theta
If vec{v} times vec{w} = <2,5,4> and vec{v}•vec{w} = 2, find tan(theta), where theta is the angle between vec{v} and vec{w}.   tan(theta)=  
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10/27/14

Find the point of intersection of the two lines
Consider the two lines L1:  x = -2t, y = 1 + 2t, z = 3t and L2:  x = -9 + 5 s, y = 5 s, z = 2 + 4 sFind the point of intersection of the two lines.
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10/27/14

Find the point P
Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -3.
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10/27/14

Find an equation of the plane
Find an equation of the plane through the point (-5, -1, 1) and perpendicular to the vector (-1, 1, 5). Do this problem in the standard way
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10/26/14

Find an equation of the plane
Find an equation of the plane through the point (-3, -1, -2) and parallel to the plane 3x + 2y - 5z = -4. Do this problem in the standard way
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10/26/14

Find the area of the parallelogram determined by these four points
Let A = (4, 2, -4), B = (0, 1, -1), C = (5, 7, 0), and D = (1, 6, 3). Find the area of the parallelogram determined by these four points, the area of the triangle ABC, and the area of the triangle... more
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Linear Algebra Vectors

10/20/14

Find a and b
Find a and b such that    [18,24,13] = a [1,-2,1] + b [4,4,3].   a=? b=?
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10/20/14

Perform the following operations on the vectors
Perform the following operations on the vectors vec{u} =<4,-4,4>, vec{v}=<4,2,-4>, and vec{w} =<0,-2,-1>.(u)•vec(w)=(u•v)u=((w•w)u)•u=u•v+v•w=
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10/19/14

Find the angle alpha between the vectors
Find the angle between the vectors  [-3  3] and  [-5   5]    
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Linear Vector Product Dot

10/19/14

Find the dot product of x and y
Let x = [-4, 4,5] and y=[0,0,-3] Find the dot product of x and y x.y=?
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10/19/14

Find the vector w=2u-3v and its additive inverse.
Let u=(1,-1,0) and v=(1,-2,-3). Find the vector w=2u-3v and its additive inverse. w= -w=  
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10/19/14

Find the angle between the vectors
Find the angle between the vectors  [1  4 -5]   and [5 -5 4]
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10/16/14

Find all 2x2 matrices
Find all 2x2 matrices A that are symmetric and whose squares are equal to themselves
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10/05/14

Find the inverse of the (common) coefficient matrix of the two systems.
Consider the following two systems -6x-y=2 2x-9y=3     -6x-y=3 2x-9y=2   Find the inverse of the (common) coefficient matrix of the two systems. A-1=?
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10/01/14

enter a 3x3 skew symmetric matrix A
enter a 3 times 3 skew-symmetric matrix A that has entries a21=0, a13=1, a32=2.    
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Linear Algebra Equation

09/22/14

Solve the equation
Solve the equation 8x+3y-5z=16 what is x? what is y? what is z?  
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Linear Algebra Matrix

09/22/14

solve the system using a matrix
Solve the system using a MATRIX x1+2x2-2x3-2x5+4x6=-4-x4-3x5+2x6=9x1+2x2+6x5+6x6=0 x1=?x2=?x3=?x4=?x5=?x6=?
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09/18/14

Solve the system using a matrix
Solve the system  x1+2x2-2x3-2x5+4x6=-4 -x4-3x5+2x6=9 x1+2x2+6x5+6x6=0   x1=? x2=? x3=? x4=? x5=? x6=?
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Linear Algebra Matrix Z

09/18/14

Solve the equation using matrices
8x+3y-5z=16 x= y= z=
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09/18/14

Solve the system using a matrix 1
Solve the system x1+x2-4x3=3 3x1+4x2+3x3=-8   x1= x2= x3=
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09/16/14

Solve the system
Solve the system  x1+x2-4x3=3  3x1+4x2+3x3=-8   x1=? x2=? x3=?
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Linear Algebra Matrix

09/15/14

Solve the system
x1+x2=-4 x2+x3=-4 x3+x4=4 x1+x4=4   x1= x2= x3= x4=
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Linear Algebra Matrix

09/15/14

Solve the system
4x1+x2=-3 8x1+2x2=-6   x1= x2=  
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09/14/14

determine the value of k for which the system has no solutions
determine the value of k for which the system  x+y+5z=-3 x+2y-2z=3 4x+11y+kz=31 has no solutions.    k=?
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09/14/14

Determine the value of h such that the matrix is the augmented matrix of a linear system with infinitely many solutions.
 7  -3  2 14  h  4   h=?
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