Consider the elementary matrices below. 1 For A = 0 0 det (A) = 1 0 0 For B = 0 k 0 0 0 1 det (B) = 1 For C = 0 0 0 0 0 1 1 0 det (C) = 0 0 1 k 01 Now if M is an arbitrary matrix with det (M) = 4, then det (BM) =
Consider the elementary matrices below. 1 For A = 0 0 det (A) = 1 0 0 For B = 0 k 0 0 0 1 det (B) = 1 For C = 0 0 0 0 0 1 1 0 det (C) = 0 0 1 k 01 Now if M is an arbitrary matrix with det (M) = 4, then det (BM) =
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
![Consider the elementary matrices below.
For A =
det (A)
For B =
det (B) =
For C =
=
det (C)
=
1 00
00 1
0 1 0
1 0
0 k
0
1
0
0
0
0
891
0
1
0
0
1 k
0 1
Now if M is an arbitrary matrix with det (M) = 4, then
det (BM) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf673b33-84d3-4207-a3d8-77b439e8ab65%2Fa2cab1e9-d25a-44f2-a854-a8bea6620a78%2F17igf2s_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the elementary matrices below.
For A =
det (A)
For B =
det (B) =
For C =
=
det (C)
=
1 00
00 1
0 1 0
1 0
0 k
0
1
0
0
0
0
891
0
1
0
0
1 k
0 1
Now if M is an arbitrary matrix with det (M) = 4, then
det (BM) =
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