Consider the matrix a 5 A : -7 6 а -5 а Find all values of a that make det(A) = 0. Give your answer as a comma- separated list. Values of a: -4 help (numbers)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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Consider the matrix
a
5
A :
-7 6
а
-5
а
Find all values of a that make det(A) = 0. Give your answer as a comma-
separated list.
Values of a:
-4
help (numbers)
Transcribed Image Text:Consider the matrix a 5 A : -7 6 а -5 а Find all values of a that make det(A) = 0. Give your answer as a comma- separated list. Values of a: -4 help (numbers)
Consider the system of differential equations
3
x,
5
5
교 (0)
Verify that
1
8t
T(t) = ce2t
+ C2e°
is a solution to the system of differential equations for any choice of the constants
C1 and c2. Find values of c and c2 that solve the given initial value problem.
(According to the uniqueness theorem, you have found the unique solution of
a' = Pa, #(0) = ão).
a(t) = (
e2t
-1
e8t
help
(numbers)
Transcribed Image Text:Consider the system of differential equations 3 x, 5 5 교 (0) Verify that 1 8t T(t) = ce2t + C2e° is a solution to the system of differential equations for any choice of the constants C1 and c2. Find values of c and c2 that solve the given initial value problem. (According to the uniqueness theorem, you have found the unique solution of a' = Pa, #(0) = ão). a(t) = ( e2t -1 e8t help (numbers)
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