Find the trace of the matrix 3 A 2 -2 tr(A)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Matrix Trace Calculation**
**Problem Statement:**
Find the trace of the matrix.
**Matrix \( A \):**
\[ A = \begin{bmatrix} -3 & 3 \\ 2 & -2 \end{bmatrix} \]
**Trace Formula:**
The trace of a matrix, denoted as \( \text{tr}(A) \), is the sum of the elements on the main diagonal.
**Calculation:**
\[
\text{tr}(A) = (-3) + (-2)
\]
**Result:**
\[
\text{tr}(A) =
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Transcribed Image Text:**Matrix Trace Calculation**
**Problem Statement:**
Find the trace of the matrix.
**Matrix \( A \):**
\[ A = \begin{bmatrix} -3 & 3 \\ 2 & -2 \end{bmatrix} \]
**Trace Formula:**
The trace of a matrix, denoted as \( \text{tr}(A) \), is the sum of the elements on the main diagonal.
**Calculation:**
\[
\text{tr}(A) = (-3) + (-2)
\]
**Result:**
\[
\text{tr}(A) =
\]
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