1,824 Answered Questions for the topic linear algebra

Linear Algebra

7d

#### Solving a distance, rate, time, problem using a system of linear

A motorboat travels 308 kilometers in 7 hours going upstream. It travels 490 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate...
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Linear Algebra

7d

#### Solving a distance, rate, time problem using a system of linear

Two buses leave a station at the same time and travel in opposite directions. One bus travels 16km/h slower than the other. If the two buses are 786 kilometers apart after 3 hours, what is the rate...
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Linear Algebra

7d

#### Find (x ,y) such that (x, y, 1, -2) are coefficients for a dependence relation for m1, m2, m3, m4.

Letm1 = (1 1) m2 =(1 2) m3 = (1 3) m4 = (3 2) 1 1 2 3 3 5 2 1Find (x ,y) such that (x, y, 1, -2) is a dependence relation for m1,...
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Linear Algebra

13d

#### The sum of two numbers is 42. One number is 2 times as large as the other. What are the numbers

Find the larger and smaller number.

Linear Algebra

14d

#### Represent the set {(a − b, b − c, c − a) | a, b, c ∈ R} ⊂ R 3

Represent the set {(a − b, b − c, c − a) | a, b, c ∈ R} ⊂ R 3 as Span{v1, v2, v3} for some vectors v1, v2, v3. Prove that this set is a subspace of R3.

Linear Algebra

14d

#### Let V denote the set of all ordered pairs (x, y) and define addition in V as in R2

Let V denote the set of all ordered pairs (x, y) and define addition in V as in R2. However, define a new scalar multiplication in V by a (x, y) = (ay, ax). Determine if V is a vector space with...
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#### The location, given in polar coordinates, of two planes are (5 mi, 14°) and (3 mi, 65°). Find the distance between the airplanes

The location, given in polar coordinates, of two planes are (5 mi, 14°) and (3 mi, 65°). Find the distance between the airplanes. (Simplify your answer. Round the final answer to three...
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#### Use an algebraic method to find the angle between the vectors. Use a calculator to approximate exact answers when appropriate. u=<−15,−8> and v=<-1,5> (Round to three decimal places as needed.)

Use an algebraic method to find the angle between the vectors. Use a calculator to approximate exact answers when appropriate. u=<−15,−8> and v=<-1,5> (Round to three decimal places...
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#### An airplane is flying on a compass heading (bearing) of 330° at 320 mph. A wind is blowing with the bearing 300° at 40 mph.

An airplane is flying on a compass heading (bearing) of 330° at 320 mph. A wind is blowing with the bearing 300° at 40 mph. (a) Find the component form of the velocity of the airplane....
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#### Find the vector projection of u onto v. Then write u as the sum of two orthogonal vectors, one of which is projvu. u=〈−2,3〉, v=〈5,6〉

Find the vector projection of u onto v. Then write u as the sum of two orthogonal vectors, one of which is projvu. u=〈−2,3〉, v=〈5,6〉

#### Find an equation in standard form for the hyperbola that satisfies the given conditions. Foci (−5,5) and (3,5), transverse axis endpoints (−4,5) and (2,5).

Find an equation in standard form for the hyperbola that satisfies the given conditions. Foci (−5,5) and (3,5), transverse axis endpoints (−4,5) and (2,5).

#### Find an equation in standard form for the ellipse that satisfies the given conditions. Minor axis endpoints (0,±5), major axis length 14

Find an equation in standard form for the ellipse that satisfies the given conditions.Minor axis endpoints (0,±5), major axis length 14

#### Prove that the graph of the equation is a parabola, and find its vertex, focus, and directrix. x^2+2x−y+2=0

Prove that the graph of the equation is a parabola, and find its vertex, focus, and directrix.x^2+2x−y+2=0

Linear Algebra Math

21d

#### What is the significance of eigenvalues and eigenvectors in linear algebra, and how are they used in real-world applications?

What is the significance of eigenvalues and eigenvectors in linear algebra, and how are they used in real-world applications?how these are different from each other ?

Linear Algebra

25d

#### Needing an equation that describes the relationship between three variables

I have three variables that have a specific relationship with each other. I know what they need to do at specific points, but I need to find out the values in between, and I need an equation that...
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Linear Algebra

27d

#### For which values of a and b does the system have a unique solution?

Given the system of equationsx+z=3ax+y=23x + y + bz = 7

28d

#### Algebra Question. (Two-way) Concept.

If -24 = 3(1+r) what is the value of 7(1+r) I am practicing for the SAT on Khan Academy, and this was one of the questions that showed up. The answer I got was -56, which was the correct answer,...
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#### Find an equation in standard form for the hyperbola that satisfies the given conditions. Transverse axis endpoints, (1,5) and (7,5), slope of one asymptote 4/3.

Find an equation in standard form for the hyperbola that satisfies the given conditions. Transverse axis endpoints, (1,5) and (7,5), slope of one asymptote 4/3. (Simplify your answer. Type...
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#### Find an equation in standard form for the hyperbola that satisfies the given conditions. Foci (0,±15), transverse axis length

Find an equation in standard form for the hyperbola that satisfies the given conditions.Foci (0,±15), transverse axis length (Type an equation. Type your answer in standard form.)

Linear Algebra

04/25/23

#### Linear algebra Eigens

Find a 2x2 matrix A for which E-5 = span {[-3,1]} , E-4 = span {[5,-2]}Where Eλ denotes the eigenspace associated with the eigenvalue λ.

Linear Algebra

04/25/23

#### Linear algebra help

let M = Find formulas for the entries of M^n, where n is a positive integer.

Linear Algebra

04/25/23

#### Linear algebra prob

let A = Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D=P^TAP.

Linear Algebra Algebra 1

04/24/23

#### The rate of change of function f is the same from x=-2 to x=1 as it is from x=1 to x=4. Is function f linear, quadratic, or exponential?

Linear Algebra Math

04/18/23

#### college algebra

A certain forest covers an area of 2700 km2. Suppose that each year this area decreases by 7.25%. What will the area be after 7 years?

Linear Algebra

04/17/23

#### Help Linear Algebra

Find formulas for the entries of M^n, where n is a positive integer. (Your formulas should not contain complex numbers.)

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