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Recent questions in Forms of linear equations

sanuluy 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%.

shadsiei 2021-09-21

Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equations. 7 x-5 y=11 x-y=-5

pedzenekO 2021-09-20

Check to see if each first-order differential equation is linear, separable, both, or neither:
a) $\frac{d y}{d x} + e^{x} y = x^{2} y^{2}$
b) $y + \sin x = x^{3} y^{'}$
c) $\ln x - x^{2} y = x y^{'}$
d) $\frac{d y}{d x} + \cos y = \tan x$

nicekikah 2021-09-20

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.
Write the solution in vector form. $[\begin{matrix} 1 & - 3 & 2 & 0 & 4 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 & 0 \end{matrix}]$

CMIIh 2021-09-20

The coefficient matrix for a system of linear differential equations of the form y′=Ay has the given eigenvalues and eigenspace bases. Find the general solution for the system.
$λ 1 = 1 \to {\begin{array}{cc} 2 & 1 \end{array}}, λ 2 = 3 \to {\begin{array}{cc} 3 & 1 \end{array}}$

Chardonnay Felix 2021-09-19

Write the vector form of the general solution of the given system of linear equations.
x1+3x2+2x4=0
x3−6x4=0

remolatg 2021-09-19

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Tell whether the system has one solution, no solution, or infinitely many solutions. Write the solutions or, if there is no solution, say the system is inconsistent. $[\begin{matrix} 1 & 0 & 0 & - 1 \\ 0 & 1 & 0 & 3 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 0 \end{matrix}]$

ka1leE 2021-09-18

Reduce the system of linear equations to upper triangular form and solve.
x−2y=2
4y−2x=−4

sjeikdom0 2021-09-18

Write the vector form of the general solution of the given system of linear equations.
x1+2x2−x3+x4=0

Brittney Lord 2021-09-17

Let AX = B be a system of linear equations, where A is an m×nm×n matrix, X is an n-vector, and BB is an m-vector. Assume that there is one solution X=X0. Show that every solution is of the form X0+Y, where Y is a solution of the homogeneous system AY = O, and conversely any vector of the form X0+Y is a solution.

glasskerfu 2021-09-16

Reduce the system of linear equations to upper triangular form and solve.
5x+2y=8
-x+3y=9

Brennan Flores 2021-09-16

Find the linearization L(x) of the function at a. $f (x) = x^{4} \mp 3 x^{2}$ , $a = - 1$

Tammy Todd 2021-09-15

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Tell whether the system has one solution, no solution, or infinitely many solutions. Write the solutions or, if there is no solution, say the system is inconsistent. $[\begin{matrix} 1 & 0 & - 1 & | & 1 \\ 0 & 1 & 2 & | & 1 \end{matrix}]$

ankarskogC 2021-09-14

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Tell whether the system has one solution, no solution, or infinitely many solutions. Write the solutions or, if there is no solution, say the system is inconsistent. [101 011 000]

generals336 2021-09-14

The coefficient matrix for a system of linear differential equations of the form y′=Ay has the given eigenvalues and eigenspace bases. Find the general solution for the system.
$λ_{1} = 2 \Rightarrow {[\begin{matrix} 4 \\ 3 \\ 1 \end{matrix}]}, λ_{2} = - 2 \Rightarrow {[\begin{matrix} 1 \\ 2 \\ 0 \end{matrix}], [\begin{matrix} 2 \\ 3 \\ 1 \end{matrix}]}$

vazelinahS 2021-09-14

Suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given reduced row echelon form. Solve the system. Assume that the variables are named x1,x2,… from left to right. [1,2,0,2,−1,3]

avissidep 2021-09-14

Suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given reduced row echelon form. Solve the system. Assume that the variables are named x1,x2,…x,… form left to right. $[\begin{matrix} 1 & - 3 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{matrix}]$

Khadija Wells 2021-09-13

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. Write the solution in vector form. $[\begin{matrix} 1 & 0 & 0 & - 3 & 0 \\ 0 & 1 & 0 & - 4 & 0 \\ 0 & 0 & 1 & 5 & 0 \end{matrix}]$

Chardonnay Felix 2021-09-13

Reduce the system of linear equations to upper triangular form and solve.
7x−y=4
3x+2y=1

Chardonnay Felix 2021-08-16

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. or x, y, z. or $x_{1}, x_{2}, x_{3}, x_{4}$ as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.
$[\begin{matrix} 1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 & 2 \\ 0 & 0 & 1 & 2 & 3 \end{matrix}]$

Students dealing with post-secondary Algebra will know that linear equation standard form examples are quite hard to find, let alone obtain solutions to questions related to algebraic problems. Luckily, you will find suitable answers to your linear equation standard form tasks by turning to help based on provided solutions. Even though one may use several calculators online, the college professors will require a verbal or written explanation, which is where provided forms of linear equations answers always help to avoid trouble and see the reasoning.

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