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Matrices · Question 6 of 106

Question 6

MediumOriginal question

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

8

Correct answerYour answer

15

Correct answerYour answer

16

Correct answerYour answer

32

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

A 2 × 2 matrix has $2 \times 2 = 4$ places to fill.
Each place has 2 choices, independently, so there are $2^{4} = 16$ matrices.

Worth noting

$4 \times 2$ 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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