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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 24E
Related questions
Question
Find the determinant of the matrix A. (Hint: Apply the properties of determinants.)
(see image)
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc17e2a4-76f7-46f2-97e3-7d367a16a370%2Fd2f62717-0eb8-4726-b261-fc55df70a04b%2F2o72m6a.png&w=3840&q=75)
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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