Consider (1) inverse. A 0 2 1 2 show that A is invertible and find its (2) Find the determinant of A in two different ways: using cofactor expansion along the first row and using cofactor expansion along the third column.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider
(1)
inverse.
A =
4 0 3
0 2 -1
1 2 -2
49
show that A is invertible and find its
(2)
Find the determinant of A in two different ways: using cofactor expansion along
the first row and using cofactor expansion along the third column.
Transcribed Image Text:Consider (1) inverse. A = 4 0 3 0 2 -1 1 2 -2 49 show that A is invertible and find its (2) Find the determinant of A in two different ways: using cofactor expansion along the first row and using cofactor expansion along the third column.
(3)
(5)
(6)
Find det(1¹2).
Find det (5A).
Find the adjoint of A. This needs Section 3.3.
Consider the linear system Ax = b, where
b=2
Find 3 using Cramer's Rule. This needs Section 3.3.
Transcribed Image Text:(3) (5) (6) Find det(1¹2). Find det (5A). Find the adjoint of A. This needs Section 3.3. Consider the linear system Ax = b, where b=2 Find 3 using Cramer's Rule. This needs Section 3.3.
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