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Linear Algebra

02/04/20

whats the length and width?

The length of a rectangle is 77 ft longer than twice the width. If the perimeter is 9292 ft, find the length and width of the rectangle.

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Linear Algebra

01/31/20

Let u4 be a vector that is not a linear combination of {u1,u2,u3,}.

Select the best statement.A) span{u1, u2, u3} = span{u1, u2, u3, u4}B) There is no obvious relationship between span{u1, u2, u3} and span{u1, u2, u3, u4}C) span{u1, u2, u3} is a proper subset of... more

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Linear Algebra Matrix Linear Transformation Standard Matrix

01/30/20

Linear Transformation and Standard Matrix

Let T: R2-> R2 be the linear transformation with the property: T(1, 0) = (4, -1) and T(2, 1) = (6, 1)Find [T], the standard matrix of T

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Linear Algebra Matrix True Or False Linear Transformation

01/30/20

True or False: Linear Transformation & Matrix

Determine which are true and which are false:A) If there is a path of lenght 2 between two specific vertices in an undirected graph, then there must be a path of lenght 3 between those two... more

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Linear Algebra Linear Transformations Standard Matrix

01/30/20

Standard Matrices of Linear Transformations

Find the standard matrix of the linear transformations T that act as follows:(a) T(x, y) = (-4x + 6y, -x - 5y)(b) T(x y,) = (-2x - y, 2x + 3y, -4x + y)

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Linear Algebra Linear Transformation

01/30/20

Linear Transformation Questions

Suppose that T : R2 -> R2 is a linear transformation satisfying T(e1) = (5, 4) and T(e2) = (3, -2). Compute the following:(a) T(2, 0)(b) T(1, 1)(c) T(2, -3)

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Linear Algebra

01/29/20

1.25(x-4)=5+25 solve show all work and check

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Linear Algebra Precalculus Algebra Circle Equations

01/24/20

A radio broadcasts in a 29 mile radius. If you drive a straight line from a city 38 miles north of radio to city 35 miles east of radio, how much of the drive will you pick up a signal from radio?

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Linear Algebra

01/24/20

The ratio of the length to the width to the height of a rectangular prism is 2:1:3 and the sum of the lengths of all its edges is 360 cm. Calculate the height of this rectangular prism.

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Linear Algebra Matrix

01/24/20

Matrix Problem Questions

The following list describes the flight routes between the cities:H is connected to T, HX, and MN.T is connected H, SJ, HX, MN, and ML.ML is connected to T, SJ, HX, and MN.SJ is connected to T, and... more

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Linear Algebra Angles Radians Vectors

01/18/20

Vector Angles in Radians

Compute the angle in radians between each of the following vectors:a) v = (-2, -2) and w = (2, -2)b) v = (5, 0, 5) and w = (2, 2, 0)c) v = (3, 3, 3, 3) and w = (0, 0, -1, -1)

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Linear Algebra Rectangle Vectors

01/18/20

Vector Question

A rectangle R3 has three of its corners at the points (3,1,1), (2,3,4) and (1,1,2). What are the coordinates of its fourth corner?

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Linear Algebra Linear Equations

01/16/20

if 2w -1 =2 what is the value of w(expontent2) -1

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Linear Algebra Proof Vector

01/15/20

Vector Proof Question

Suppose v and w are vectors in Rn . Show that || v − w || ≥ || v || − || w ||

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Linear Algebra True Or False Vectors

01/15/20

Vectors: True or False Questions

Determine which of the following statements are true and which are false.(a) There exist vectors v, w ∈ R3 such that ||v|| = 3, ||w|| = 3, and ||v + w|| = 7.(b) There exist vectors v, w ∈ R2 such... more

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Linear Algebra Point Slope form and writing linear equations

01/11/20

Is the relationship shown by the data linear? If so, model the data with an equation. The relationship is not linear.

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Linear Algebra

01/08/20

x y 0 3 3 9 6 15 10 23 Which of the following linear equations corresponds to the table above?

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Linear Algebra

01/08/20

What are two examples of different right triangles that could like on a line with a slope of 2/5 (two fifths)?

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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)

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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

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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?

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Linear Algebra Linear Equations

01/08/20

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

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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

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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

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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

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whats the length and width?

Let u4 be a vector that is not a linear combination of {u1,u2,u3,}.

Linear Transformation and Standard Matrix

True or False: Linear Transformation & Matrix

Standard Matrices of Linear Transformations

Linear Transformation Questions

1.25(x-4)=5+25 solve show all work and check

A radio broadcasts in a 29 mile radius. If you drive a straight line from a city 38 miles north of radio to city 35 miles east of radio, how much of the drive will you pick up a signal from radio?

The ratio of the length to the width to the height of a rectangular prism is 2:1:3 and the sum of the lengths of all its edges is 360 cm. Calculate the height of this rectangular prism.

Matrix Problem Questions

Vector Angles in Radians

Vector Question

if 2w -1 =2 what is the value of w(expontent2) -1

Vector Proof Question

Vectors: True or False Questions

Is the relationship shown by the data linear? If so, model the data with an equation. The relationship is not linear.

x y 0 3 3 9 6 15 10 23 Which of the following linear equations corresponds to the table above?

What are two examples of different right triangles that could like on a line with a slope of 2/5 (two fifths)?

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

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

Vector Parallelogram Question

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

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

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?

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

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