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Matrices · Question 34 of 106

Question 34

EasyOriginal question

AA and BB are 2 × 3 matrices and CC is a 3 × 2 matrix. Which of the following is NOT defined?

Options for question 34

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Matrices can be added or subtracted only when they have the same order.

  2. AA, BB, 2B2B and 3A3A are all 2 × 3, but CC is 3 × 2, so A+CA + C is not defined.

Worth noting

A scalar multiple keeps the order: 2B2B is still 2 × 3, so A−2BA - 2B is defined.

Concept
When a sum of matrices is defined
Typical time
60 s
Your time
—
The rule this testsAddition and multiplication by a scalar
Practise this chapter →

Ten questions from Matrices, at your own pace.

Practise this chapter →

Ten questions from Matrices, at your own pace.