1,975 Answered Questions for the topic linear algebra

Linear Algebra

03/12/16

Homogeneous Coordinate in Linear Algebra Class
The line y=2x +1 can be expressed in vector form as ??[1 2]+[0 1] (let x=t, then y=2t+1).   A) (using homogeneous coordinates) what is the matrix of a translation of 2 in the x direction and 3 in... more
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Linear Algebra Determinant

03/10/16

Finding the determinant ( Linear Algebra)
Using elementary row or column operations to find the determinant.  |3   8  7| |0  -5  4| |6   1  6|
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Linear Algebra Proofs

03/03/16

Let A be a 3x3 matrix...Can't figure out proof for my linear algebra homework
      (a11 a12 a13) A= (a21  a22 a23)      (a31  a32  a33) and let C1 C2 C3 be the first, second, and third column respectively (counting from the left) of A.                  [x1] A. Let X=... more
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03/03/16

How to turn point-slope linear equation into standard form
How would I turn the point-slope form linear equation into standard form? Y - 3 = 3 (x + 1)
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03/01/16

Please help me with the following 3 questions on linear and include all steps.
1) Find the equation of the line:a) Through the point (5-,8), parallel to the line 2x-7y=2b) Though the point (4,0), perpendicular to the line 2x-7y=22) Solve the following systems of equations for... more
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Linear Algebra

02/11/16

An elevator has a maximum weight limit of 1,500 pound. You have a shipment of boxes to bring to the tenth floor. Each weights 20 pounds.
 Write an inequality to represent the situation also solve the inequality and leave your answer as in inequality(Be sure to Lable)
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Linear Algebra

01/25/16

Let u, v, w, x in R^2 be vectors. If u is a linear combination of v and w and v is a linear combination of...
Let u, v, w, x in R^2 be vectors. If u is a linear combination of v and w and v is a linear combination of w and x, show that u is a linear combination of w and x
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Linear Algebra

01/08/16

Parametric Equations,Equations of planes
(i) Find the parametric equation of the line l through the point (2, 2, −2) andparallel to the line x = 2 − 7t, y = 3 + 4t, z = −t, t ∈ R.   (ii)Calculate the equation of the plane which contains... more
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Linear Algebra Vectors

01/08/16

equations and vectors
Given the following parametric equation of the line l:x = 2 − 7t, y = 3 + 4t, z = −t, t ∈ R,give two points on l and a vector parallel to l.
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Linear Algebra Vectors

01/08/16

Find the Equation of the plane
Find the equation of the plane which contains the point ( 2/3, −1, 3) and has normalvector 3i − 2j + 9k. Also, find another two points on this plane which are differentfrom ( 2/3, −1, 3).
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Linear Algebra

01/08/16

Linear Algebra. Intersection Between plane and line containing certain points.
Find the point of intersection of the plane 2x + 3y − 5z = 10 with the linecontaining the points (1, 1, 1) and (5, 0, 4).
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Linear Algebra

01/06/16

Finding the Parametric Equation of a line
Find the parametric equation of the line which contains the point ( 1/2, 0, −3) andis parallel to the vector 2i − 4j + k. Also, find another point on this line which isdifferent from ( 1/2, 0, −3).
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Linear Algebra

01/03/16

Show that the plane ax+by+cz=d contains the points (1,1,1) and (1 /2 ,1/ 2 ,-1) whenever both these equations hold:a+b-4 /3 d=0, c + 1/ 3 d=0
Linear Algebra, we have covered normal vectors, dot products and the like but I still cant figure this out, any help would be appreciated.
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Linear Algebra

12/18/15

how to represent a matrix for a set of unit vectors (i^,j^, k^) along x,y,z axes?
I am studying linear algebra, I have come across a question to which i am confused. The question is Which of the following set of vectors is linearly independent? (i^,j^,k^ denote the unit vectors... more
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12/04/15

ALGEBRA ONE LINEAR EQUATION
How would I graph this in slope intercept form? -3x+y=3 and 4y=24-12y
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Linear Algebra Linear Equations

12/02/15

four times a first number decreased by a second number is -6. The first number increased by three times the second number is -21. Find the numbers
I need to find the solution set numbers, and step by step on how to solve this problem.
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Linear Algebra

11/29/15

write an equation in slope-intercept form for the line that has a slope of m=2 and y-intercept of (0,0)
I need  an equation that includes the slope of m=2 and y-intercept of (0,0).
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Linear Algebra

11/18/15

number of marbles in jars
there are two red jars of marbles and one jar of blue marbles.  Jars of the same color of marbles contain the same number of marbles in them.  there are 35 total marbles.  The difference between... more
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Linear Algebra

11/08/15

A linear algebra questions, please help!
Given vectors u, a, v, and b as defined below, let T : R2 → R2 be a linear transformation that maps the vector u to the vector a and the vector v to the vector b. Use the linearity of T to find the... more
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Linear Algebra

11/08/15

A linear algebra question, please help!
Given the matrix A and the vector b below, define the transformation T : R3 → R3 by T (x) = Ax. Determine whether or not b is in the range of T. If so, find a vector x such that T(x) = b.       1... more
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Linear Algebra

11/08/15

A linear algebra question, please help!
Consider the following matrices. A= -3  1    and B=0   4        0  2              -1  6 (a) Find -2A+B (b) Find 4A-3B (c) Find the transpose of a (d) Find the transpose of B-A
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Linear Algebra

11/05/15

Given the sizes of two matrices A and B, determine the sizes of the product AB and the product BA, if the products are defined. Worth 8 points.
Given the sizes of two matrices A and B, determine the sizes of the product AB and the product BA, if the products are defined. Worth 8 points. (a) Ais4×4andBis4×4. (b) Ais2×1andBis1×1. (c)... more
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Linear Algebra

11/05/15

For what values of h are the following vectors linearly independent?
For what values of h are the following vectors linearly independent?   ? 1 ?          ?−4? ?−6?  and   ?24?   1              h 
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Linear Algebra

11/05/15

Determine whether or not the following system is consistent. If so, find the general solution.
Determine whether or not the following system is consistent. If so, find the general solution. ?    x1 − x2   + 3x3    = −9 ?−5x1 + 5x2 − 15x3  = −2 ?    x1 + 5x2 + x3      = −17
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Linear Algebra

11/02/15

If p(3x) = x^2 and....
If p(3x) = x2 and p(2x) = x, is it possible that p is a linear function from the polynomials to the polynomials?  Explain your answer.  (Hint:  Fractions are scalors too)
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