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Matrices · Question 10 of 106

Question 10

MediumOriginal question

How many matrices of order 3 × 2 can be formed if each element is −1, 0 or 1?

18

Correct answerYour answer

216

Correct answerYour answer

243

Correct answerYour answer

729

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

A 3 × 2 matrix has $3 \times 2 = 6$ places to fill.
Each place has 3 choices, independently, so there are $3^{6} = 729$ matrices.

Worth noting

$6 \times 3$ adds the choices place by place; they multiply.

Concept: Counting matrices
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsA matrix, its elements and order

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