Let A = 1 2 1 2 3 0 1 4 2 . a. If Ax = 1 2 1 , use Cramers Rule to find x2. b. Find A 1

Chapter 5, Problem 2

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QUESTION:

Let \(A=\left[\begin{array}{lll} 1 & 2 & 1 \\ 2 & 3 & 0 \\ 1 & 4 & 2 \end{array}\right]\)

a. If \(A \mathbf{x}=\left[\begin{array}{r} 1 \\ 2 \\ -1 \end{array}\right]\), use Cramer’s Rule to find \(x_2\).

b. Find \(A^{−1}\) using cofactors.

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QUESTION:

Let \(A=\left[\begin{array}{lll} 1 & 2 & 1 \\ 2 & 3 & 0 \\ 1 & 4 & 2 \end{array}\right]\)

a. If \(A \mathbf{x}=\left[\begin{array}{r} 1 \\ 2 \\ -1 \end{array}\right]\), use Cramer’s Rule to find \(x_2\).

b. Find \(A^{−1}\) using cofactors.

ANSWER:

Step 1 of 3

Given .

Suppose

To find using Cramer’s rule.

Let be the solution of the equation .

First, let us find the determinant of A.

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