Find the determinant of the matrix A. (Hint: Apply the properties of determi- nants). 1 t t2 t3 1 x2 A Y y? 1 22 23 Let f(t) = detA, with x, y, z all distinct. Show that f(t) is a cubic polynomial and the coefficient of t° is non-zero.
Find the determinant of the matrix A. (Hint: Apply the properties of determi- nants). 1 t t2 t3 1 x2 A Y y? 1 22 23 Let f(t) = detA, with x, y, z all distinct. Show that f(t) is a cubic polynomial and the coefficient of t° is non-zero.
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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Find the determinant of the matrix A. (Hint: Apply the properties of determinants.)
(see image)
Transcribed Image Text:Find the determinant of the matrix A. (Hint: Apply the properties of determi-
nants).
1
t
t2
t3
1
x2
A
Y y?
1
22
23
Let f(t) = detA, with x, y, z all distinct. Show that f(t) is a cubic polynomial and the coefficient
of t° is non-zero.
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