X-3Z= -3

2X+KY-Z= -2

X+2Y-KZ= 1

2022-07-28

X-3Z= -3

2X+KY-Z= -2

X+2Y-KZ= 1

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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 2021-07-04

Let

asked 2021-08-11

Write the vector form of the general solution of the given system of linear equations. ${x}_{1}+2{x}_{2}-{x}_{3}+2{x}_{5}-{x}_{6}=0$

asked 2022-05-08

What is the difference between solving an equation such as 5y + 3 - 4y - 8 = 6 + 9 and simplifying an algebraic expression such as 5y + 3 - 4y - 8 ? If there is a difference, which topic should be taught first ? Why ?

asked 2021-09-18

Write the vector form of the general solution of the given system of linear equations.

x1+2x2−x3+x4=0

x1+2x2−x3+x4=0

asked 2021-06-06

Each of the matrices is the final matrix form for a system of two linear equations in the variables x1 and x2. Write the solution of the system.

asked 2022-06-26

The problem is this:

The impulse response of a system is the output from this system when excited by an input signal $\delta (k)$ that is zero everywhere, except at $k=0$, where it is equal to 1. Using this definition and the general form of the solution of a difference equation, write the output of a linear system described by:

$y(k)\u20133y(k\u20131)\u20134y(k\u20132)=\delta (k)+2\delta (k\u20131)$

The initial conditions are: $y(\u20132)=y(\u20131)=0$.

My question is: How can the particular solution be found using the method of undetermined coefficients if the non-homogeneous equation is also a difference equation?

The impulse response of a system is the output from this system when excited by an input signal $\delta (k)$ that is zero everywhere, except at $k=0$, where it is equal to 1. Using this definition and the general form of the solution of a difference equation, write the output of a linear system described by:

$y(k)\u20133y(k\u20131)\u20134y(k\u20132)=\delta (k)+2\delta (k\u20131)$

The initial conditions are: $y(\u20132)=y(\u20131)=0$.

My question is: How can the particular solution be found using the method of undetermined coefficients if the non-homogeneous equation is also a difference equation?