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... more
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... more
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,... more
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... more
Linear Algebra Math Algebra 1 Algebra 2

15d

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... more
Linear Algebra Math Algebra 1 Algebra 2

15d

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... more
Linear Algebra Math Algebra 1 Algebra 2

15d

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.... more
Linear Algebra Math Algebra 1 Algebra 2

15d

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〉
Linear Algebra Math Algebra 1 Algebra 2

15d

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​).
Linear Algebra Math Algebra 1 Algebra 2

15d

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
Linear Algebra Math Algebra 1 Algebra 2

15d

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... more
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
Linear Algebra Algebra 1 Algebra 2 Prealgebra

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,... more
Linear Algebra Math Algebra 1 Algebra 2

29d

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... more
Linear Algebra Math Algebra 1 Algebra 2

29d

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 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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