**SHORT ANSWER:** Write the word or phrase that best completes each statement or answers the question.**Provide an appropriate response.**6) Use a graphing utility and augmented matrix methods to solve the system: \[1.8x_1 - 12.17x_2 = 33\] \[-3.75x_1 + 5.73x_2 = 7\] Express your answer accurate to three decimal places. \( \underline{\phantom{Answer}} \)7) Solve the linear system corresponding to the following augmented matrix: \[\begin{bmatrix}1 & 4 & 0 & \vert & 5 \\0 & 0 & 1 & \vert & 6 \\0 & 0 & 0 & \vert & 0 \\\end{bmatrix}\] \( \underline{\phantom{Answer}} \)**MULTIPLE CHOICE:** Choose the one alternative that best completes the statement or answers the question.8) Only one of the following augmented matrices of a linear system is in a reduced form. Choose the matrix that is in reduced form. \( \underline{\phantom{Answer}} \)

Answered: 6) Use a graphing utility and augmented…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In this question, concept of matrices is used to solve question.

Matrix

A matrix is a rectangular array or table in which numbers or components are arranged in rows and columns. Matrices is the plural version of matrix. Matrices can contain various columns and rows. Matrix addition, scalar multiplication, matrix multiplication, transposition, and other operations can be done on them.When conducting these matrix operations, certain rules must be followed, such as matrices can only be added or subtracted if they have the same number of rows and columns, and they can only be multiplied if the columns in the first and rows in the second are precisely the same.