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Matrices · Question 8 of 106

Question 8

MediumOriginal question

A matrix has 7 elements. How many different orders can it have?

Options for question 8

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. An order m × n needs mn=7mn = 7, so m can be any divisor of 7.

  2. The divisors give the orders 1 × 7, 7 × 1: 2 in all.

Worth noting

1 counts only m ≤ n, but 1 × 7 and 7 × 1 are different orders.

Concept
Possible orders of a matrix
Typical time
90 s
Your time
—
The rule this testsA matrix, its elements and order
Practise this chapter →

Ten questions from Matrices, at your own pace.

Practise this chapter →

Ten questions from Matrices, at your own pace.