1. (a) Consider the matrix A: (b) Let - 2 4 1 0 6 t t 13 8 8 20 22 -1 teR. Compute the determinant of the matrix and find all values of t, if any, such that A is invertible. Indicate all the steps in your calculations.

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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1.
(a) Consider the matrix
A
(ii) det
([20
Compute the determinant of the matrix and find all values of t, if any, such that A is
invertible. Indicate all the steps in your calculations.
(b) Let
3g 3h
2a+d 2b+e 2c + f
5a 5b
1
0 6
2
t t 13
48 8 20
22
3i
A
5c
-
and let det (A) = 6. Find the following determinants:
(i) det (((3.4)²)¹)
1)
Indicate all the steps in your calculations.
a
d
9
9
b
e ƒ
h
teR.
Transcribed Image Text:1. (a) Consider the matrix A (ii) det ([20 Compute the determinant of the matrix and find all values of t, if any, such that A is invertible. Indicate all the steps in your calculations. (b) Let 3g 3h 2a+d 2b+e 2c + f 5a 5b 1 0 6 2 t t 13 48 8 20 22 3i A 5c - and let det (A) = 6. Find the following determinants: (i) det (((3.4)²)¹) 1) Indicate all the steps in your calculations. a d 9 9 b e ƒ h teR.
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