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Algebra ★

Section 8: Determinant Synthesis

Practice connecting determinant facts across vectors, systems, transformations, and rank.

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Question 1 / 5

If $\det(A)\neq0$ for a $2\times2$ matrix, which statements are true?

The area factor is

0

.

A

is invertible. The columns are independent.

A\mathbf x=\mathbf b

has a unique solution for every

\mathbf b

.

Submit to see the correction

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