In Exercises 1-2, classify the matrix as upper triangular, lower triangular, or diagonal, and decide by inspection whether the ma- trix is invertible. [Note: Recall that a diagonal matrix is both up- per and lower triangular, so there may be more than one answer in some parts.] 1. 1 0 0 3 -2 7 0 00 2 0 (d) 0 0 3 95 1 0 0 8

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
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13 - 1.c.d

In Exercises 1-2, classify the matrix as upper triangular, lower
triangular, or diagonal, and decide by inspection whether the ma-
trix is invertible. [Note: Recall that a diagonal matrix is both up-
per and lower triangular, so there may be more than one answer
in some parts.]
1.
-1 0 0
3
-2
(c)
0 2
0
(d) 0
0
3
00
15
0
0
8
Transcribed Image Text:In Exercises 1-2, classify the matrix as upper triangular, lower triangular, or diagonal, and decide by inspection whether the ma- trix is invertible. [Note: Recall that a diagonal matrix is both up- per and lower triangular, so there may be more than one answer in some parts.] 1. -1 0 0 3 -2 (c) 0 2 0 (d) 0 0 3 00 15 0 0 8
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