1 00 0 2 <-5 0 21. 0 0 0 4 22. -3 -4 -3 4 0 0 0 1 -2 1 3 0 3 8 -5, In Exercises 23-24, find the diagonal entries of AB by inspection. [3 2 6 -1 27 23. A = 0 1 -2 B = 053 0 0 -1 006 rc 200 -1 -6 به یک
1 00 0 2 <-5 0 21. 0 0 0 4 22. -3 -4 -3 4 0 0 0 1 -2 1 3 0 3 8 -5, In Exercises 23-24, find the diagonal entries of AB by inspection. [3 2 6 -1 27 23. A = 0 1 -2 B = 053 0 0 -1 006 rc 200 -1 -6 به یک
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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1.7 question 22 and 23 on paper please thanks a lot
![### Matrix Analysis and Determination
#### Determine Invertibility:
**Instructions**: In Exercises 19–22, determine by inspection whether the matrix is invertible.
**Exercise 19**:
\[
\begin{bmatrix}
1 & 6 & -1 \\
0 & 7 & -4 \\
0 & 0 & 2
\end{bmatrix}
\]
**Exercise 20**:
\[
\begin{bmatrix}
-1 & 2 & 4 \\
0 & 3 & 0 \\
0 & 0 & 5
\end{bmatrix}
\]
**Exercise 21**:
\[
\begin{bmatrix}
1 & 0 & 0 \\
2 & -5 & 0 \\
4 & 3 & 0 \\
1 & -2 & 0 \\
\end{bmatrix}
\]
**Exercise 22**:
\[
\begin{bmatrix}
2 & 0 & 0 & 0 \\
-3 & -1 & 0 & 0 \\
-4 & -6 & 0 & 0 \\
0 & 0 & 3 & 8 \\
\end{bmatrix}
\]
#### Find Diagonal Entries:
**Instructions**: In Exercises 23–24, find the diagonal entries of \( AB \) by inspection.
**Exercise 23**:
\[
A =
\begin{bmatrix}
3 & 2 & 6 \\
0 & 1 & -2 \\
0 & 0 & -1
\end{bmatrix}, \quad
B =
\begin{bmatrix}
-1 & 2 & 7 \\
0 & 5 & 3 \\
0 & 0 & 6
\end{bmatrix}
\]
**Exercise 24**:
\[
A =
\begin{bmatrix}
4 & 0 & 0 \\
-2 & 0 & 0 \\
-3 & 0 & 7
\end{bmatrix}, \quad
B =
\begin{bmatrix}
6 & 0 & 0 \\
1 & 5 & 0 \\
3 & 2 & 6
\end{bmatrix}
\]
These exercises require identifying the diagonal elements of the resulting product matrix \( AB \).
####](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48922dd6-b6f8-4fac-84c6-05a7db5750f6%2F1f3e435a-1d5f-431d-a526-b68ce0390c03%2F6pkgsrp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Matrix Analysis and Determination
#### Determine Invertibility:
**Instructions**: In Exercises 19–22, determine by inspection whether the matrix is invertible.
**Exercise 19**:
\[
\begin{bmatrix}
1 & 6 & -1 \\
0 & 7 & -4 \\
0 & 0 & 2
\end{bmatrix}
\]
**Exercise 20**:
\[
\begin{bmatrix}
-1 & 2 & 4 \\
0 & 3 & 0 \\
0 & 0 & 5
\end{bmatrix}
\]
**Exercise 21**:
\[
\begin{bmatrix}
1 & 0 & 0 \\
2 & -5 & 0 \\
4 & 3 & 0 \\
1 & -2 & 0 \\
\end{bmatrix}
\]
**Exercise 22**:
\[
\begin{bmatrix}
2 & 0 & 0 & 0 \\
-3 & -1 & 0 & 0 \\
-4 & -6 & 0 & 0 \\
0 & 0 & 3 & 8 \\
\end{bmatrix}
\]
#### Find Diagonal Entries:
**Instructions**: In Exercises 23–24, find the diagonal entries of \( AB \) by inspection.
**Exercise 23**:
\[
A =
\begin{bmatrix}
3 & 2 & 6 \\
0 & 1 & -2 \\
0 & 0 & -1
\end{bmatrix}, \quad
B =
\begin{bmatrix}
-1 & 2 & 7 \\
0 & 5 & 3 \\
0 & 0 & 6
\end{bmatrix}
\]
**Exercise 24**:
\[
A =
\begin{bmatrix}
4 & 0 & 0 \\
-2 & 0 & 0 \\
-3 & 0 & 7
\end{bmatrix}, \quad
B =
\begin{bmatrix}
6 & 0 & 0 \\
1 & 5 & 0 \\
3 & 2 & 6
\end{bmatrix}
\]
These exercises require identifying the diagonal elements of the resulting product matrix \( AB \).
####
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