In Exercises 1-2, classify the matrix as upper triangular, lower tri- angular, or diagonal, and decide by inspection whether the matrix is invertible. Recall that a diagonal matrix is both upper and lower triangular, so there may be more than one answer in some parts. 1 1. - [32 3] b. 0 3 -2 7 d. 0 0 0 a. C. -1 0 0 0 2 0 1 0 0 4 0 3 8

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section: Chapter Questions
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1.7 Question 1 part 1 on paper please
Exercise Set 1.7
In Exercises 1-2, classify the matrix as upper triangular, lower tri-
angular, or diagonal, and decide by inspection whether the matrix
invertible. Recall that a diagonal matrix is both upper and lower
triangular, so there may be more than one answer in some parts.
1.
- [2₂3]
b.
d
0
3
7
d. 0
31
3
0
8
a.
C.
2. a.
-1 0 0
2 0
0
C.
O
115
-2
0
[19]
b.
4
0
3
d. 3 1 0
LO
0
-2.
[7
0 0]
In Exercises 3-6, find the product by inspection.
olding
3 0
2 1
8][-
3
0
-4
1
1
0
Transcribed Image Text:Exercise Set 1.7 In Exercises 1-2, classify the matrix as upper triangular, lower tri- angular, or diagonal, and decide by inspection whether the matrix invertible. Recall that a diagonal matrix is both upper and lower triangular, so there may be more than one answer in some parts. 1. - [2₂3] b. d 0 3 7 d. 0 31 3 0 8 a. C. 2. a. -1 0 0 2 0 0 C. O 115 -2 0 [19] b. 4 0 3 d. 3 1 0 LO 0 -2. [7 0 0] In Exercises 3-6, find the product by inspection. olding 3 0 2 1 8][- 3 0 -4 1 1 0
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