Question

Let \begin{equation} A = \begin{bmatrix} 1 & 3 & -5 \\ 1 & 4 & -8 \\ -3 & -7 & 9 \end{bmatrix} \end{equation} Answer Question 1, 2, and 3. 1. Reduce A to reduced row-echelon form. Circle the pivot position in the reduced echelon matrix you obtain. 2. Describe the solutions of $A\vec{x} = \vec{0}$. 3. Let $\vec{b} = \begin{bmatrix} 4 \\ 7 \\ -6 \end{bmatrix}$. Describe the solutions of $A\vec{x} = \vec{b}$.

          Let
\begin{equation*}
A = \begin{bmatrix} 1 & 3 & -5 \\ 1 & 4 & -8 \\ -3 & -7 & 9 \end{bmatrix}
\end{equation*}
Answer Question 1, 2, and 3.
1. Reduce A to reduced row-echelon form. Circle the pivot position in the reduced echelon
matrix you obtain.
2. Describe the solutions of $A\vec{x} = \vec{0}$.

3. Let $\vec{b} = \begin{bmatrix} 4 \\ 7 \\ -6 \end{bmatrix}$. Describe the solutions of $A\vec{x} = \vec{b}$.

Let

A =
< b m a t r i x >

Answer Question 1, 2, and 3.
1. Reduce A to reduced row-echelon form. Circle the pivot position in the reduced echelon
matrix you obtain.
2. Describe the solutions of Ax⃗ = 0⃗.

3. Let b⃗ =
< b m a t r i x >. Describe the solutions of Ax⃗ = b⃗.

Added by Melissa M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Victor Salazar

01/27/2022

Step 1

Starting matrix A: [[1, 3, -5], [1, 4, -8], [-3, -7, 9]] Perform row operations to reduce A: R2 = R2 - R1 R3 = R3 + 3R1 New matrix A: [[1, 3, -5], [0, 1, -3], [0, 2, -6]] R3 = R3 - 2R2 Final reduced row-echelon form of A: [[1, 3, -5], [0, 1, -3], [0, 0, Show more…

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Let A=[[1,3,-5],[1,4,-8],[-3,-7,9]]. Answer Question 1, 2, and 3. Reduce A to reduced row-echelon form. Circle the pivot position in the reduced echelon matrix you obtain. Describe the solutions of Avec(x)=0. Let vec(b)=[[4],[7],[-6]]. Describe the solutions of Avec(x)=vec(b). Let 1 3 -5] A= 1 4 8 -7 9 Answer Question 1,2,and 3. 1. Reduce A to reduced row-echelon form. Circle the pivot position in the reduced echelon matrix you obtain. 2.Describe the solutions of A=0. 1 3.Letb= 7 Describe the solutions of A=b.