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Mathematics
Problem
(a) Define the adjoint of a square matrix. (b) State the necessary and sufficient condition for a square matrix to possess an inverse. (c) For the matrix
A
=
(
a
b
c
d
)
A = \begin{pmatrix} a & b \\ c & d \end{pmatrix}
A
=
(
a
c
b
d
)
, write down the expression for
A
−
1
A^{-1}
A
−
1
.
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