Dottie Parra
2021-08-06
Answered

Write the vector form of the general solution of the given system of linear equations. ${x}_{1}-2{x}_{2}+{x}_{3}+{x}_{4}+7{x}_{5}=0$

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Benedict

Answered 2021-08-07
Author has **108** answers

Vector form looks like this:

Vasquez

Answered 2021-12-28
Author has **460** answers

Rewrite the corresponding augmented matrix of the system of linear equation

Transform the matrix in its reduced row echelon form

Determine the general solution

Express the solutions in vector form

asked 2021-06-10

Determine whether the given set S is a subspace of the vector space V.

A. V=${P}_{5}$ , and S is the subset of ${P}_{5}$ consisting of those polynomials satisfying p(1)>p(0).

B.$V={R}_{3}$ , and S is the set of vectors $({x}_{1},{x}_{2},{x}_{3})$ in V satisfying ${x}_{1}-6{x}_{2}+{x}_{3}=5$ .

C.$V={R}^{n}$ , and S is the set of solutions to the homogeneous linear system Ax=0 where A is a fixed m×n matrix.

D. V=${C}^{2}(I)$ , and S is the subset of V consisting of those functions satisfying the differential equation y″−4y′+3y=0.

E. V is the vector space of all real-valued functions defined on the interval [a,b], and S is the subset of V consisting of those functions satisfying f(a)=5.

F. V=${P}_{n}$ , and S is the subset of ${P}_{n}$ consisting of those polynomials satisfying p(0)=0.

G.$V={M}_{n}(R)$ , and S is the subset of all symmetric matrices

A. V=

B.

C.

D. V=

E. V is the vector space of all real-valued functions defined on the interval [a,b], and S is the subset of V consisting of those functions satisfying f(a)=5.

F. V=

G.

asked 2021-08-09

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution.

asked 2021-06-16

Solve the system of linear equations using the substitution method.

asked 2021-09-20

Determine whether each first-order differntial equation is separable, linear, both or nether:

a)$\frac{dy}{dx}+{e}^{x}y={x}^{2}{y}^{2}$

b)$y+\mathrm{sin}x={x}^{3}{y}^{\prime}$

c)$\mathrm{ln}x-{x}^{2}y=x{y}^{\prime}$

d)$\frac{dy}{dx}+\mathrm{cos}y=\mathrm{tan}x$

a)

b)

c)

d)

asked 2021-09-21

A bank loaned out $11,000, part of it at the rate of 7% annual interest, and the rest at 9% annual interest. The total interest earned for both loans was $860.00. How much was loaned at each rate?

___ was loaned at 7% and

___ was loaned at 9%.

___ was loaned at 7% and

___ was loaned at 9%.

asked 2021-01-04

The coefficient matrix for a system of linear differential equations of the form

asked 2021-09-24

The row echelon form of a system of linear equations is given.

(a)Writethesystemofequationscorrespondingtothegivenmatrix.Usex,y.or x,y,z.or

(b)Determinewhetherthesystemisconsistentorinconsistent.Ifitisconsistent,givethesolution.