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Determinants

Level 12 / build-up

3x3 (+/-4)

3 visual steps / 3x3 signed cofactors

1. Signed line

1. Signed lineexpand row 1.-1203-4521-3expand row 1-1 x 7det = 31
expand row 1.

expand row 1.

2. Signed term

2. Signed term-1 x 7.-1203-4521-3expand row 1-1 x 7det = 31
-1 x 7.

-1 x 7.

3. Determinant

3. Determinantdet = 31.DeterminantSettle signed terms.det = 31.-1 x 7
det = 31.

det = 31.

Practice Level 12

A few quick rounds make the products familiar; the sign is the only thing to guard.

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