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A homogeneous system AX = O in three unknowns has a… | StemPy Lab
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A homogeneous system AX = O in three unknowns has a solution other than X = O. What must be true of A?
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Algebra › Matrices and Determinants
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A homogeneous system
A
X
=
O
AX = O
A
X
=
O
in three unknowns has a solution other than
X
=
O
X = O
X
=
O
. What must be true of
A
A
A
?
A
A
A
is the identity matrix
∣
A
∣
=
0
|A| = 0
∣
A
∣
=
0
∣
A
∣
=
1
|A| = 1
∣
A
∣
=
1
A
A
A
has an inverse
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