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Matrices · Question 3 of 106

Question 3

EasyOriginal question

A matrix has 10 elements. How many different orders can it have?

Options for question 3

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. An order m × n needs mn=10mn = 10, so m can be any divisor of 10.

  2. The divisors give the orders 1 × 10, 2 × 5, 5 × 2, 10 × 1: 4 in all.

Worth noting

2 counts only m ≤ n, but 1 × 10 and 10 × 1 are different orders.

Concept
Possible orders of a matrix
Typical time
60 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.