1,954 Answered Questions for the topic linear algebra

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
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
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
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
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 
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)
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).

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
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
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

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?

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
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 
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 
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 
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
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.
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
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      
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! :)
Linear Algebra Linear Equations

03/17/15

james invests $20000 in an account that has an annual interest rate of 8.3%. which is the correct equation?

P6=20000(1+.083)6 P6=20000(1+.083)6+1 P6=20000(1+.083)6-1 P6=20000(1+.83)6-1
Linear Algebra

03/13/15

The line passing through the origin and parallel to the line passing through points (8,5) and (-9,3)

Find the equation of the line that satisfies the given condition    
Linear Algebra

03/02/15

Linear algebra

Suppose you invest $1500 in equipment to put pictures on T-shirts. You buy each T-shirt for $3. After you have placed the picture on a shirt, you sell it for $20. How many T-shirts must you sell to... more
Linear Algebra

02/02/15

Linear Algebra Vector Equation???

The only question on my review that I don't know how to solve.     Solve for x:             [ 6 ]4x +   [ -3 ]  = x         [ -9 ]         key note :    [ 6 ]                    [ -3 ]  ... more
Linear Algebra

12/20/14

if a line has a slope of 2 and passes through (4,-1) what is the y-intercept?

so confused please help :/

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