What is the determinant of the 1 × 1 matrix matrix A?

Determinants, Adjoint & Inverse · Question 1 of 87

Question 1

EasyOriginal question

What is the determinant of the 1 × 1 matrix $A = \begin{bmatrix} -7 \end{bmatrix}$ ?

-7

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0

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7

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49

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CorrectNot quiteAnswer A

Correct answer: A

The determinant of a 1 × 1 matrix is its one element.
So $|A| = -7$ . The bars $|A|$ mean the determinant here, not the absolute value.

Worth noting

7 reads $|A|$ as an absolute value; for a matrix the bars mean its determinant, which can be negative.

Ten questions from Determinants, Adjoint & Inverse, at your own pace.

Ten questions from Determinants, Adjoint & Inverse, at your own pace.