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Problem: Is Nonsingular matrix [[1,2,3],[4,5,6],[7,8,9]] [ Calculator, Method and examples ]

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Your problem -> Is Nonsingular matrix [[1,2,3],[4,5,6],[7,8,9]]

A square matrix A, such that |A| != 0, is called nonsingular matrix.

A =
 1 2 3 4 5 6 7 8 9

|A| =
 1 2 3 4 5 6 7 8 9

=
1 ×
 5 6 8 9
-2 ×
 4 6 7 9
+3 ×
 4 5 7 8

=1 xx (5 × 9 - 6 × 8) -2 xx (4 × 9 - 6 × 7) +3 xx (4 × 8 - 5 × 7)

=1 xx (45 -48) -2 xx (36 -42) +3 xx (32 -35)

=1 xx (-3) -2 xx (-6) +3 xx (-3)

= -3 +12 -9

=0

Here, |A| = 0, so A is not a nonsingular matrix

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