roblem 4. Let t 3 3 17 t 20 17 4 A = 1 1 1 8 1 2 where t is a variable. Explain why det A = at? + bt + c, where a, b, and c are constants. Find a. (a) (Ъ) (c) (d) Find det A when t = 0. Also, find det A when t = 4. No calculation is required. Use this to find b and c.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem 4. Let
3 5
3
17 t 20
17 4
A =
1
1
1
8.
1
2
3
3
where t is a variable.
(a)
(Ъ)
(c)
Explain why det A = at? + bt + c, where a, b, and c are constants.
Find a.
Find det A when t = 0. Also, find det A when t = 4. No calculation is required.
Use this to find b and c.
Transcribed Image Text:Problem 4. Let 3 5 3 17 t 20 17 4 A = 1 1 1 8. 1 2 3 3 where t is a variable. (a) (Ъ) (c) Explain why det A = at? + bt + c, where a, b, and c are constants. Find a. Find det A when t = 0. Also, find det A when t = 4. No calculation is required. Use this to find b and c.
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