1,959 Answered Questions for the topic linear algebra

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

11/02/15

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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Linear Algebra

11/01/15

For any a, x, y...
For any a, x, y ∈ R define x⊕y = (x3+y3)1/3 and a⊗x = ³√ax.  Show that a⊗(x⊕y) = (a⊗x)⊕(a⊗y).
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10/25/15

Volume of a Pyramid
Find the volume of a pyramid given its height is 138.8m and its base is 230.4m along the side   use the formula:           | x1  y1  z1  1|                                       | x2  y2  z2 ... more
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Linear Algebra

10/22/15

Linear algebra
Many important techniques in fields such as CT and MR imaging in medicine,nondestructive testing and scientific visualization are based on tryingto recover a matrix from its projections. (a) A... more
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Linear Algebra

10/10/15

What are some examples of why knowledge of linear algebra is important for an undergraduate engineering student ?
    Please give a specific type of problem where linear algebra techniques are required to solve the problem....
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Linear Algebra

08/18/15

suggest me a real world application of linear algebra to civil engineering
I have to submit term project in linear algebra that has a real world application to civil and construction engineering. I searched in the internet a lot to find an idea but I have got... more
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Linear Algebra Math

08/12/15

If A is an n x n matrix True or False:?
1. If A has only real entries, then all of the eigenvalues of A are real numbers. 2. There could be eigenvalues for A for which there is only 1 associates eigenvectors. 3. There could be... more
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06/24/15

how do I calculate how many apples and oranges were bought with an amount of money
Word problem where I need to build an equation.  A person spent $7.75 buying apples and oranges.  Apples cost: $0.40 each and oranges $0.35 each. How many apples and oranges were bought?
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06/12/15

Linear Programming?
In the following linear program, State what you are letting x and y be Give the objective function Write the constraints as linear inequalities Show the graph. Be sure to do the shading. List all... more
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Linear Algebra

06/04/15

The length of a rectangle is twice its width. If the area of the rectangle is 98 ft2 ?, find its perimeter
The length of a rectangle is 5 inches longer than its width. If the perimeter of the rectangle is 42 in, find its area 
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Linear Algebra

06/04/15

The length of a rectangle is twice its width. If the area of the rectangle is 98 ft2 ?, find its perimeter
The length of a rectangle is twice its width. If the area of the rectangle is 98 ft2 , find its perimeter 
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Linear Algebra

06/04/15

The length of a rectangle is twice its width. If the area of the rectang le is 98 yd find its perimeter
The length of a rectangle is twice its width. If the area of the rectangle is 98 yd2 , find its perimeter 
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Linear Algebra Linear Programming

05/19/15

Maximum profit with limited resource
A farmer has 10km2 of land in which he can sow either wheat or barley. The farmer has only 10kg fertilizer and 5kg insecticide. Per square kilometers wheat requires 2kg fertilizer and 2kg... more
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Linear Algebra

05/16/15

Let L be the line y = 5-9x in R^2. Find vectors a and b so that v = a +tb is a parametric equation for L.
Stuck on this linear algebra question.
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Linear Algebra Calculus Linear Vector

04/27/15

Suppose S_1={u_1,u_2} and S_2={v_1,v_2} are each independent sets of vectors in an n-dimensional vector space V.
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 answer to this... more
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Linear Algebra

04/21/15

How do you find the Square Root of a Matrix????
Find a Square root of the Matrix   A =   [4  3]         [2  3]    This is a 2x2 matrix      
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Linear Algebra

04/19/15

How to calculate the rank of matrix with parameters?
A = {(b+3; a; 4; -2b-1)(b; -3; 5; -6)(-1; 1; 2a+1; 1-a)}   No idea how to solve this, tried everything.. help please! :)
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