The linear equations: [math: 2x−7y=95x=−3]\begin{array}{l}\;2x - 7y = { m{ }}9\\;5x\quad \quad \; = -3\end{array} can be written in matrix form as:

Question

The linear equations: [math: 2x−7y=95x=−3]\begin{array}{l}\;2x - 7y = {m{ }}9\\;5x\quad \quad \; = -3\end{array} can be written in matrix form as:

BlackTom AI · Accepted Answer

The problem asks to write the given linear system in matrix form. The system, interpreted from the text, is:
2x - 7y = 9
5x = -3
This corresponds to the coefficient matrix A consisting of the coefficients of x and y in each equation, the variable vector [x y]^T, and the right-hand side vector b. Thus:
A = [[2, -7], [5, 0]]
[x y]^T is the column vector [x, y]^T
b = [9, -3]^T
So the matrix equation is A [x y]^T = b, or explicitly:
[[2, -7],
 [5, 0]] * [x, y]^T = [9, -3]^T

Now, evaluating the provided option(s):
- The listed option begins with 'b. [math: [2−750]]\left[ {\begin{array}{*{20}{c}}2&{ - 7}\5&0\end{array}} ight][math: [xy]]\left[ {\begin{array}{*{20}{c}}x\y\end{array}} ight]= [math: [9−3]]\left[ {\begin{array}{*{20}{c}}9\{ - 3}\end{array}} ight]'. This appears to be attempting to present the same matrix equation, with the coefficient matrix [[2, -7], [5, 0]] and the right-hand side vector [9, -3], but the formatting is garbled (e.g., '2−750' and mismatched brackets).

- The intended correct structure (if clean) is exactly: [[2, -7], [5, 0]] [x y]^T = [9, -3]^T. The option tries to place the same matrices and vectors, but the extra framing and odd numbers ('2−750') suggest a transcription error or formatting corruption.

Thus, the concept conveyed by the option aligns with the correct matrix form, but the actual text is not clean or reliable as written due to garbled formatting. If you were to assess correctness, you would recognize the proper A, the correct variable vector, and the correct b, while noting the presented garbling should be corrected for unambiguous notation.

In summary, the correct matrix form is [[2, -7], [5, 0]] * [x, y]^T = [9, -3]^T, and the option shown is an attempt at this form but is corrupted in its formatting and should be rewritten clearly to avoid confusion.

MCD1550 / MCD2140 - T1 - 2025 TEST 2 (Week 6)

The linear equations: [math: 2x−7y=95x=−3]\begin{array}{l}\;2x - 7y = {\rm{ }}9\\\;5x\quad \quad \; = -3\end{array} can be written in matrix form as:

查看解析

登录即可查看完整答案

类似问题

Suppose in an LP, we have the following constraints: What is the x value at the intersection point between the two constraint boundary lines x+6 y>=8 and 7x + 5y <= 35 ? (Round your answer to 4 decimals. )

Suppose 𝐴 is a 3 × 4 matrix and the column vectors of 𝐴 span 𝑅 3 . Which of the following statements must be FALSE?

Types of Solutions for a System Solve the given system of equations. Choose the best answer. { 2 𝑥 + 𝑦 = 4 8 𝑥 + 4 𝑦 = 20

Solve the system Ax=b, where A=\left[\begin{array}{ccc} 3&4\\ {5}&{6}\end{array}\right] and b=\left[\begin{array}{ccc} 4.7\\ {7}\end{array}\right]. What value is the first entry of x?

Solve the following systems of equations. [math: 2x−3y=1] 2x-3y=1 [math: 3x+4y=−1] 3x+4y=-1

Solve the system of linear equations:

Which of the following systems of linear equations does not have a unique solution? I \[\begin{array}{l}5x - 5y = 6\\2x + 6y = 3\end{array}\] II \[\begin{array}{l}\;23x + 23y = 6\\\;25x + 25y = 3\end{array}\] III \[\begin{array}{l}\;5x - 3y = 6\\\;8x - 12y = 3\end{array}\]

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单