2 2 2 Using theorems from the course, find the determinant of A - 21 Suppose A is a 3 x 3 matrix such that A 1 1 =

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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Question
Algebra
(a) Suppose A is a 3 × 3 matrix such that A 1
2
Using theorems from the course, find the determinant of A – 21
(and explain your answer with reference to the course results).
(b) Let
a b
A = d e
f
9 h i
with real numbers a, b, c, d, e, f, g, h, i such that det(A) = 3.
a
What is the determinant of B = d+2a
2g
Give a justification for your answer.
"
dx
√I+I√I
Calculus
Determine whether the following improper integral converges and, if
it does, calculate it:
[Hint: try the substitution u = √x.]
b
с
e+2b f+2c ?
2i
2h
Transcribed Image Text:Algebra (a) Suppose A is a 3 × 3 matrix such that A 1 2 Using theorems from the course, find the determinant of A – 21 (and explain your answer with reference to the course results). (b) Let a b A = d e f 9 h i with real numbers a, b, c, d, e, f, g, h, i such that det(A) = 3. a What is the determinant of B = d+2a 2g Give a justification for your answer. " dx √I+I√I Calculus Determine whether the following improper integral converges and, if it does, calculate it: [Hint: try the substitution u = √x.] b с e+2b f+2c ? 2i 2h
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