Number 7 part a and b show all work please ### Section 2.2 Exercises**Find the inverses of the matrices in Exercises 1-4.**1. \[\begin{bmatrix} 8 & 6 \\ 5 & 4 \end{bmatrix}\]2. \[\begin{bmatrix} 3 & 2 \\ 8 & 5 \end{bmatrix}\]3. \[\begin{bmatrix} 7 & 3 \\ -6 & -3 \end{bmatrix}\]4. \[\begin{bmatrix} 2 & -4 \\ 4 & -6 \end{bmatrix}\]**Use the inverse found in Exercise 1 to solve the system:**\[ \begin{aligned} 8x_1 + 6x_2 &= 2 \\5x_1 + 4x_2 &= -1 \end{aligned} \]**Use the inverse found in Exercise 3 to solve the system:**\[ \begin{aligned} 7x_1 + 3x_2 &= -9 \\-6x_1 - 3x_2 &= 4 \end{aligned} \]**7. Let** \[A = \begin{bmatrix} 1 & 2 \\ 5 & 12 \end{bmatrix}, b_1 = \begin{bmatrix} -1 \\ 3 \end{bmatrix}, b_2 = \begin{bmatrix} -1 \\ -5 \end{bmatrix}, b_3 = \begin{bmatrix} 2 \\ 6 \end{bmatrix}, \text{and} b_4 = \begin{bmatrix} 3 \\ 5 \end{bmatrix}\]a. Find \(A^{-1}\) and use it to solve the four equations:\[Ax = b_1,\quad Ax = b_2,\quad Ax = b_3,\quad Ax = b_4 \]b. The four equations in part (a) can be solved by the same set of row operations, since the coefficient matrix is the same in each case. Solve the four equations in part (a) by row reducing the augmented matrix \([A \; b_1 \; b_2 \; b_3 \; b_4]\).**8. Suppose \(P\) is invert

Name: Number 7 part a and b show all work please ### Section 2.2 Exercises**
Uploaded: 2024-03-20T06:46:03.000Z
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Description: Number 7 part a and b show all work please ### Section 2.2 Exercises**Find the inverses of the matrices in Exercises 1-4.**1. \[\begin{bmatrix} 8 & 6 \\ 5 & 4 \end{bmatrix}\]2. \[\begin{bmatrix} 3 & 2 \\ 8 & 5 \end{bmatrix}\]3. \[\begin{bmatrix} 7 &