14 If (a, b) is a multiple of (c,d) with abcd #0, show that (a, c) is a multiple of (b, d). This is surprisingly important; two columns are falling on one line. You could use numbers first to see how a, b, c, d are related. The question will lead to: The matrix A = [a b] C d has dependent columns when it has dependent rows.
14 If (a, b) is a multiple of (c,d) with abcd #0, show that (a, c) is a multiple of (b, d). This is surprisingly important; two columns are falling on one line. You could use numbers first to see how a, b, c, d are related. The question will lead to: The matrix A = [a b] C d has dependent columns when it has dependent rows.
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
![14
If (a, b) is a multiple of (c,d) with abcd ‡ 0, show that (a,c) is a multiple of
(b,d). This is surprisingly important; two columns are falling on one line. You
could use numbers first to see how a, b, c, d are related. The question will lead to:
The matrix A
a b
= [28
с d
]
has dependent columns when it has dependent rows.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe243852a-5427-4fc7-bd56-ad30d22cf89a%2F4736db55-7adc-4ddb-93c5-0831e17813e8%2Fdr8ixeb_processed.png&w=3840&q=75)
Transcribed Image Text:14
If (a, b) is a multiple of (c,d) with abcd ‡ 0, show that (a,c) is a multiple of
(b,d). This is surprisingly important; two columns are falling on one line. You
could use numbers first to see how a, b, c, d are related. The question will lead to:
The matrix A
a b
= [28
с d
]
has dependent columns when it has dependent rows.
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