Hi its easy questions dont outo answer ok just humans expert solve it all questions solve it . Its easy for u ok ### Linear Algebra: Solving Systems of Equations and Matrix Inverses#### Problem 20**Task**: Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists.The system of equations given:1. $ x + 4y + 5z = 6 $2. $ y - 4z = 0 $**Options**:- **A**: There is one solution. The solution set is {(____________)}. _(Simplify your answers.)_- **B**: There are infinitely many solutions. The solution set is {($x$,$y$,$\frac{x}{\bullet \bullet \bullet} - 2$), where $z$ is any real number. _(Type expressions using $z$ as the variable. Use integers or fractions for any numbers in the expressions.)_- **C**: There is no solution. The solution set is $\emptyset$.#### Problem 24**Task**: Find the products $AB$ and $BA$ to determine whether $B$ is the multiplicative inverse of $A$.Matrices $A$ and $B$ are given as:\[ A = \begin{bmatrix} 5 & 6 & 8 \\ 5 & 9 & 8 \\ 5 & 9 & 8 \end{bmatrix} \]\[ B = \begin{bmatrix} \frac{17}{15} & \frac{8}{3} & \frac{2}{3} \\ -1 & 0 & 1 \\ -1 & \frac{1}{3} & -\frac{1}{3} \end{bmatrix} \]- Calculate $ AB = \_\_\_\_\_\_\_\_\_\_\_\_ $- Calculate $ BA = \_\_\_\_\_\_\_\_\_\_\_\_ $**Question**: Is $B$ the multiplicative inverse of $A$?- **No**- **Yes**#### Problem 28**Task**: Write the system below in the form $AX = B$. Then solve the system by entering $A$ and $B$ into a graphing utility and computing $A^{-1}B$.The system of equations is:1. $ 5x ### Linear Algebra Practice Problems#### Problem 4: Matrix MultiplicationGiven the matrices:\[ A = \begin{bmatrix} -9 & 0 \\ -9 & 3 \end{bmatrix}, \quad B = \begin{bmatrix} -9 & 3 \\ -4 & 9 \end{bmatrix} \]a. Find \( AB $ and determine if the matrix operation is possible.- Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. - $ \boxed{\text{A}} \quad AB = \boxed{\phantom{}} \quad \text{(Simplify your answers.)} $ - $ \boxed{\text{B}} \quad \text{This matrix operation is not possible.} $b. Find $ BA $ and determine if the matrix operation is possible.- Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. - $ \boxed{\text{A}} \quad BA = \boxed{\phantom{}} \quad \text{(Simplify your answers.)} $ - $ \boxed{\text{B}} \quad \text{This matrix operation is not possible.} $#### Problem 8: Augmented MatrixGiven the system of equations:\[\begin{cases}5x - 5y + 2z = -9 \\7x - 9y = 5 \\5x - 5z = -6\end{cases}\]Write the augmented matrix for the system of equations:- Enter each element:\[ \begin{bmatrix}\; & \; & \; & \; \\\; & \; & \; & \; \\\; & \; & \; & \;\end{bmatrix}\](Do not simplify.)#### Problem 12: Gaussian EliminationSolve the system of equations using matrices. Use the Gaussian elimination method with back-substitution.\[\begin{cases}2w + 3x + 4y - 2z = 12 \\w + x + y - z = 3 \\3w + x - 3y - 2z = -10 \\w + 3x + 3y - 3z

By using Gaussian elimination to find the complete solution to the following system of equations, or…

20. Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists. x + 4y + 5z = 6 y - 4z = 0 Select the correct choice below and fill in any answer boxes within your choice. OA. There is one solution. The solution set is {C (Simplify your answers.) B. There are infinitely many solutions. The solution set is z)), where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.) OC. There is no solution. The solution set is Ø. 2:06 PM

20. Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists. x + 4y + 5z = 6 y - 4z = 0 Select the correct choice below and fill in any answer boxes within your choice. OA. There is one solution. The solution set is {C (Simplify your answers.) B. There are infinitely many solutions. The solution set is z)), where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.) OC. There is no solution. The solution set is Ø. 2:06 PM

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.1: Matrix Operations

Problem 20EQ: Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the...

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