Need help wit h these 2 questions can have multiple Anwsers for each ## Matrix Equations and Inverses### Example 1: Matrix Equality and Multiplication#### Given MatricesSuppose the matrices \(A, B, C \in M_3(\mathbb{R})\) are given by:\[ A = \begin{pmatrix}1 & 2 & 3 \\0 & 5 & 4 \\3 & -2 & 1 \end{pmatrix}, \quadB = \begin{pmatrix}4 & -6 & 3 \\5 & 4 & 4 \\-1 & 0 & 1 \end{pmatrix}, \quadC = \begin{pmatrix}0 & 0 & 0 \\0 & 0 & 0 \\4 & -2 & 3 \end{pmatrix}\]#### QuestionCompare the matrices and choose the correct statement:- \(A\)- \(AC = BC\)- \(A = B\)- \( \text{None of These} \)---### Example 2: Finding the Inverse of a Matrix#### Given MatrixSuppose the matrix \(A\) is defined as:\[A = \begin{pmatrix}-2 & -1 & -1 \\0 & -2 & -192 \\16 & 3 & -1 \end{pmatrix}\]#### QuestionIf it exists, find the inverse, \(A^{-1}\):\[\text{Choices:}\]- \(A\)\[A = \begin{pmatrix}\frac{1}{8} & \frac{1}{4} & -\frac{3}{8} \\1 & \frac{7}{4} & -\frac{3}{4} \\-\frac{3}{8} & -\frac{7}{4} & \frac{1}{4} \end{pmatrix}\]- \(B\)\[B = \begin{pmatrix}1 & 2 & 0 \\1 & 1 & \frac{1}{7} \\-\frac{1}{7} & 1 & 0 \end{pmatrix}\]- \(C\)\[C = \begin{pmatrix}\frac{8

Name: Need help wit h these 2 questions can have multiple Anwsers for each #
Uploaded: 2024-03-05T11:53:49.000Z
Channel: Bartleby
Description: Need help wit h these 2 questions can have multiple Anwsers for each ## Matrix Equations and Inverses### Example 1: Matrix Equality and Multiplication#### Given MatricesSuppose the matrices \(A, B, C \in M_3(\mathbb{R})\) are given by:\[ A = \begin{p