The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x,y;x,y; or x,y,z;x,y,z; or

ankarskogC
2021-05-16
Answered

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x,y;x,y; or x,y,z;x,y,z; or

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Liyana Mansell

Answered 2021-05-17
Author has **97** answers

Inconsistent

We can see bottom line of the system does not have any solution that is why system of equation is inconsistent.

We can see bottom line of the system does not have any solution that is why system of equation is inconsistent.

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 2022-01-24

Geometrically, the span of two non-parallel vectors in $R}^{3$ is?

1) one octant

2) a line

3) a point

4) the whole 3-space

5) a plane

1) one octant

2) a line

3) a point

4) the whole 3-space

5) a plane

asked 2022-07-14

Suppose $T$ is a transformation from ${\mathbb{R}}^{2}$ to ${\mathbb{R}}^{2}$. Find the matrix $A$ that induces $T$ if $T$ is the (counter-clockwise) rotation by $\frac{3}{4}}\pi $.

how to begin to find a matrix that is 2x2 for this question.

how to begin to find a matrix that is 2x2 for this question.

asked 2022-05-22

If $T\in \text{End}(V)$ such that $T({x}_{1})=2{x}_{1}+{x}_{2}$ and $T({x}_{2})={x}_{1}$, and ${y}_{1}=4{x}_{1}+2{x}_{2}$ and ${y}_{2}={x}_{1}-{x}_{2}$ , determine the matrix $T$ with respect to the basis $\{{x}_{1},{x}_{2}\}$ and with respect to the new basis $\{{y}_{1},{y}_{2}\}$. Furthermore, it is possible to find an invertible matrix $P$ such that ${P}^{-1}AP=B$, where $A$ is the matrix transformation with respect to the basis $\{{x}_{1},{x}_{2}\}$ and $B$ is the matrix transformation with respect to the basis $\{{y}_{1},{y}_{2}\}$.

For the first part, I know I need to find some matrix $D={C}^{-1}AC$ , such that $A$ is the transformation matrix with respect to the standard basis, and $C$ is the change of basis matrix, but I am unsure how to construct $C$ and thus ${C}^{-1}$. The transformation matrix for $T$ is:

$A=\left[\begin{array}{cc}2& 1\\ 1& 0\end{array}\right]$

For the first part, I know I need to find some matrix $D={C}^{-1}AC$ , such that $A$ is the transformation matrix with respect to the standard basis, and $C$ is the change of basis matrix, but I am unsure how to construct $C$ and thus ${C}^{-1}$. The transformation matrix for $T$ is:

$A=\left[\begin{array}{cc}2& 1\\ 1& 0\end{array}\right]$

asked 2022-05-27

How to do this question in regards of matrices and transformation?

asked 2021-09-30

asked 2020-11-12

The given system of inequality:

Also find the coordinates of all vertices, and check whether the solution set is bounded.