In a 1x1 matrix [ [k] ], the determinant equals:

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Prepare for the A Level Further Mathematics Core Pure Exam. Practice with flashcards and multiple-choice questions, each accompanied by hints and explanations. Ace your exam!

Multiple Choice

In a 1x1 matrix [ [k] ], the determinant equals:

Explanation:
In a 1x1 matrix, the determinant is simply the value of its single entry. So for [ [k] ], the determinant is k. This matches the idea that in 1D a matrix acts as a scaling by k, and the determinant is that scaling factor. The other options would only hold in special cases (like the matrix being the identity, or the zero matrix, or if k happened to be 0), but not in general here.

In a 1x1 matrix, the determinant is simply the value of its single entry. So for [ [k] ], the determinant is k. This matches the idea that in 1D a matrix acts as a scaling by k, and the determinant is that scaling factor. The other options would only hold in special cases (like the matrix being the identity, or the zero matrix, or if k happened to be 0), but not in general here.

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