Let B be a

a) If B has three nonzero rows, then determine the form of B.

b) Suppose that a system of 4 linear equations in 2 unknowns has augmented matrix A, where A is a

Demonstrate that the system of equations is inconsistent.

Tyra
2021-02-11
Answered

Let B be a

a) If B has three nonzero rows, then determine the form of B.

b) Suppose that a system of 4 linear equations in 2 unknowns has augmented matrix A, where A is a

Demonstrate that the system of equations is inconsistent.

You can still ask an expert for help

oppturf

Answered 2021-02-12
Author has **94** answers

Let B be a

a) If B has three nonzero rows, then determine the form of B. According to Fig. 1.5 of Section 1.2,since the matrix is in reduced echelon form with three nonzero rows, then one of the four rows must: contain all zero entries. Hence, the form of B is

b)Suppose that a system of 4 linear equations in 2 unknowns has augmented matrix A, where A is a

Demonstrate that the system of equations is inconsistent.

Let the system of four linear in 2 unknowns

The augmented matrix of the system is

Since, A is a

Since, the system has 2 unknowns, then from the third reduced echelon form

Hence , the system has not solution.

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.

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