2.3 EXERCISES Unless otherwise specified, assume that all mat kercises are nxn. Determine which of the mat ses 1-10 are invertible. Use as few calculation stify your ansSwers. -4 2 -3 2. 6. -3 0. 0. -5 -3 -4 0. 4. 8. 5 -3 0. -3 -3 0 4 101 32
2.3 EXERCISES Unless otherwise specified, assume that all mat kercises are nxn. Determine which of the mat ses 1-10 are invertible. Use as few calculation stify your ansSwers. -4 2 -3 2. 6. -3 0. 0. -5 -3 -4 0. 4. 8. 5 -3 0. -3 -3 0 4 101 32
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Number 2 4 and 6 please ?
![### 2.3 Exercises
**Instructions:**
Unless otherwise specified, assume that all matrices in these exercises are \( n \times n \). Determine which of the matrices in Exercises 1-10 are invertible. Use as few calculations as possible. Justify your answers.
1. \[
\begin{pmatrix}
5 & 7 \\
-3 & -6
\end{pmatrix}
\]
2. \[
\begin{pmatrix}
-4 & 2 \\
6 & -3
\end{pmatrix}
\]
3. \[
\begin{pmatrix}
3 & 0 & 0 \\
8 & -4 & 0 \\
8 & 5 & -3
\end{pmatrix}
\]
4. \[
\begin{pmatrix}
-5 & 1 & 4 \\
0 & 0 & 0 \\
1 & 4 & 9
\end{pmatrix}
\]
5. \[
\begin{pmatrix}
3 & 0 & -3 \\
2 & 0 & 4 \\
-4 & 0 & 7
\end{pmatrix}
\]
6. \[
\begin{pmatrix}
1 & -3 & -6 \\
0 & 4 & 3 \\
-3 & 6 & 0
\end{pmatrix}
\]
7. \[
\begin{pmatrix}
3 & 5 & 8 \\
-2 & -6 & 3 \\
0 & -1 & 2
\end{pmatrix}
\]
8. \[
\begin{pmatrix}
3 & 4 & 7 & 4 \\
0 & 1 & 4 & 6 \\
0 & 0 & 2 & 8 \\
0 & 0 & 0 & 1
\end{pmatrix}
\]
9. \[
\begin{pmatrix}
4 & 0 & -3 & -7 \\
-6 & 9 & 9 & 9 \\
7 & -5 & 10 & 19 \\
-1 & 2 & 4 & -1
\end{pmatrix} \qquad [M]
\]
10. \[
\begin{pmatrix}
5 & 3 & 1 & 7 &](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee22cf2f-b974-4b00-a3cf-09b388e7d65d%2F4811fafa-de77-4039-9581-10db398d23e7%2Ff6h4vp8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### 2.3 Exercises
**Instructions:**
Unless otherwise specified, assume that all matrices in these exercises are \( n \times n \). Determine which of the matrices in Exercises 1-10 are invertible. Use as few calculations as possible. Justify your answers.
1. \[
\begin{pmatrix}
5 & 7 \\
-3 & -6
\end{pmatrix}
\]
2. \[
\begin{pmatrix}
-4 & 2 \\
6 & -3
\end{pmatrix}
\]
3. \[
\begin{pmatrix}
3 & 0 & 0 \\
8 & -4 & 0 \\
8 & 5 & -3
\end{pmatrix}
\]
4. \[
\begin{pmatrix}
-5 & 1 & 4 \\
0 & 0 & 0 \\
1 & 4 & 9
\end{pmatrix}
\]
5. \[
\begin{pmatrix}
3 & 0 & -3 \\
2 & 0 & 4 \\
-4 & 0 & 7
\end{pmatrix}
\]
6. \[
\begin{pmatrix}
1 & -3 & -6 \\
0 & 4 & 3 \\
-3 & 6 & 0
\end{pmatrix}
\]
7. \[
\begin{pmatrix}
3 & 5 & 8 \\
-2 & -6 & 3 \\
0 & -1 & 2
\end{pmatrix}
\]
8. \[
\begin{pmatrix}
3 & 4 & 7 & 4 \\
0 & 1 & 4 & 6 \\
0 & 0 & 2 & 8 \\
0 & 0 & 0 & 1
\end{pmatrix}
\]
9. \[
\begin{pmatrix}
4 & 0 & -3 & -7 \\
-6 & 9 & 9 & 9 \\
7 & -5 & 10 & 19 \\
-1 & 2 & 4 & -1
\end{pmatrix} \qquad [M]
\]
10. \[
\begin{pmatrix}
5 & 3 & 1 & 7 &
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