1,954 Answered Questions for the topic linear algebra

Linear Algebra Vectors

01/08/20

Vectors: Solve the following equations for the vector x ∈ ℝ2

x ∈ ℝ2(a) −2x + (0, −1) = (−2, 1) (b) (−4, 0) − x = (1, −1) − 2x (c) 2(x + 2(x + 2x)) = 5(x + 5(x + 5x)
Linear Algebra True Or False Vectors

01/08/20

Vectors: Determine which of the following statements are true and which are false.

(a) For vectors v, w, z ∈ ℝn , if v + w = v + z then w = z. (b) The vector (3, 2, 1) is a linear combination of the vectors (1, 1, 1) and (1, 1, 0). (c) For vectors v, w, z ∈ ℝn, if v · w = v · z,... more
Linear Algebra Vectors Parallelogram

01/08/20

Vector Parallelogram Question

If a parallelogram has diagonals described by the vectors x = (5, 4) and y = (3, −2), what are the sides v and w of that parallelogram?
Linear Algebra Linear Equations

01/08/20

Intersection of 5x+2y=43 and -6x+3y=-30

Linear Algebra

01/03/20

Find the angle between vectors u = [3,0] and v= [-1,1].

I found the following solution: cos⁡θ=(u⋅v) /‖u‖‖v‖= (3⋅(-1) +0.1) / (√ (3^2+0^2) ⋅√((-1) ^2+1^2)) =-3/ (√9 √2). However, the correct solution is -1/√2. What did I wrong? How do they find this... more
Linear Algebra Algebra 1 Algebra 2 Sat Math

01/02/20

In a system of pressure-assisted pumps linking 3 tanks, what are the steady-state tank volumes achieved, given an initial volume of 10 gallons in tank A?

A system of 3 tanks (A, B, and C) are linked by 6 pressure-assisted pumps. From tank A, a pump pumps 0.1 gallon/minute per gallon in tank A, to tank B. Another pump pumps 0.2 gallons/minute per... more
Linear Algebra Math Linear Equations

01/02/20

For each problem, set up an equation and solve it using the balance method.

For each problem, set up an equation and solve it using the balance method. a) the perimeter of a rectangular car park is 88 m. If the length is 12m more than the width, what are the dimensions of... more
Linear Algebra

01/02/20

How to tell if these lines are perpendicular to each other?

l1: 7x + 2y - 3 = 0l2: l(t) = (1 - t) * Matrix [1 0] + t * Matrix [-6 -2] where both matrices are 2x1.Thanks!
Linear Algebra

01/01/20

I really don’t understand this, please help ASAP! :(

Write a linear equation through the point (-3, -2) with a y-intercept of 3.

12/19/19

Is this a linear or quadratic function?

y = (x+1)(6x-6)-6x^2 Linear or quadratic? What's the linear term? Constant term?
Linear Algebra Precalculus Mathematics

12/17/19

what is the largest area that can be enclosed

"A homeowner has a 100 feet of fencing and wants to section off a corner of her yard for a chicken pin. She will enclose a Rectangular plot that using the current fencing in the corner. what is... more
Linear Algebra

12/06/19

Determine whether the graphs of the given equations are parallel, perpendicular, or neither. Explain.

y=4x+5-4x+y=-13
Linear Algebra Math Algebra 1 Algebra 2

12/05/19

Can someone help me solve this linear programming problem?

A calculator company produces a scientific calculator and a graphing calculator. There is an expected demand of at least 60 scientific and 80 graphing calculators each day. Because of limitations... more
Linear Algebra

12/04/19

Help with linear algebra

is the function below a linear transformation? why or why not? T:C3 ---> C2, T([x1][x2][x3]) = [-1x1-7x2+3x3],[-1x1+8x3-5]

12/04/19

algebra 1 problem solving

Norman and Suzanne own 27 shares of a fast food restaurant stock and 61 shares of a toy company stock. At the close of the markets on a particular day in​ 2004, their stock portfolio consisting of... more
Linear Algebra

12/03/19

Linear Algebra Question

. Let 𝑊 be the set of all matrices of the following form with real numbers 𝑎, 𝑏, 𝑐, 𝑑. [ 𝑎 𝑏 0 𝐴 = | 𝑏 𝑐 𝑑 0 𝑑 𝑎 ] a) Determine whether the set 𝑊 is a subspace of 𝑀33 (vector... more

12/01/19

How to solve: A movie theater has a seating capacity of 355. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

A movie theater has a seating capacity of 355. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total... more
Linear Algebra

12/01/19

cost for each pound of jelly beans. cost for each pound of almonds

A store is having a sale on jelly beans and almonds. For 9 pounds of jelly beans and 7 pounds of almonds, the total cost is $35. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost... more
Linear Algebra Math

11/26/19

Linear Algebra Question

Let A =-17 -1510 8Find a matrix S, a diagonal matrix D, and S^-1 such that A=SDS^-1.

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