Question

asked 2021-02-11

Let B be a \((4\times3)(4\times3)\) matrix in reduced echelon form.

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 \((4\times3)(4\times3)\) matrix row equivalent to B.

Demonstrate that the system of equations is inconsistent.

asked 2021-01-16

asked 2021-03-05

\(3x+7y-20z=-4\)

\(5x+12y-34z=-7\)

asked 2021-01-10

Given a linear system of equations below.The matrix equation of the linear system is given by:Ax=b.The determinant of A is 8.Using Cramers's rule find the value for x.

\(x+3y+4z=3\)

\(2z+6y+9z=5\)

\(3x+y-2z=7\)

asked 2021-03-12

\(\begin{cases}5x+7y-36z=38\\-8x-11y+57z=-60\end{cases}\)

asked 2021-01-04

The coefficient matrix for a system of linear differential equations of the form \(y^1=Ay\) has the given eigenvalues and eigenspace bases. Find the general solution for the system

\(\lambda1=3\Rightarrow \begin{bmatrix} 1 \\ 1 \\ 0 \end{bmatrix}\)

\(\lambda2=0\Rightarrow \begin{bmatrix} 1 \\ 5 \\ 1 \end{bmatrix}\begin{bmatrix}2 \\ 1 \\ 4 \end{bmatrix}\)

asked 2020-10-23

Determine if (1,3) is a solution to the given system of linear equations.

\(5x+y=8\)

\(x+2y=5\)

asked 2021-03-12

(5,3)

\(x-y=2\)

\(x+y=8\)

asked 2020-10-23

(1,2)

\(\left\{\begin{matrix} 3x−y=1 \\ 2x+3y=8 \end{matrix}\right\}\)

asked 2020-12-25

Use cramer's rule to solve system of linear equations

\(13x-6y=17\)

\(26x-12y=8\)