6. State two ways to determine whether or not an n x n matrix A is invertible.
Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Transcribed Image Text:6. State two ways to determine whether or not an n x n matrix A is invertible.
Transcribed Image Text:Theorem 1 Let A =
(ad). !
Example: Solve
If ad-bc0, then A is invertible and
A-¹ =
ad-be
(dd).
a
If ad bc = 0, then A is not invertible.
Definition: The quantity ad-bc is the determinant of A, denoted by det A.
(²7₂2)x= (²)
X= for x using inverses.
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