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Matrices · Question 44 of 106

Question 44

EasyOriginal question

AA is a 3 × 2 matrix and BB is a 2 × 4 matrix. What is the order of ABAB?

Options for question 44

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. ABAB is defined: AA has 2 columns and BB has 2 rows.

  2. The product takes the rows of AA and the columns of BB: 3×43 \times 4.

Worth noting

The 2 that the two orders share is what lets them multiply; it disappears from the product.

Concept
When a product is defined, and its order
Typical time
60 s
Your time
—
The rule this testsMultiplication of matrices
Practise this chapter →

Ten questions from Matrices, at your own pace.

Practise this chapter →

Ten questions from Matrices, at your own pace.