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Matrices · Question 53 of 106

Question 53

MediumOriginal question

A=[123456]A = \begin{bmatrix}1 & 2 & 3 \\ 4 & 5 & 6\end{bmatrix} and B=[102103]B = \begin{bmatrix}1 & 0 \\ 2 & 1 \\ 0 & 3\end{bmatrix}. What is the element in row 2, column 1 of ABAB?

Options for question 53

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. It is row 2 of AA times column 1 of BB: (4)(1)+(5)(2)+(6)(0)(4)(1) + (5)(2) + (6)(0).

  2. That adds up to 1414.

Worth noting

11 is the element in row 1, column 2: the row and the column were swapped.

Concept
Multiplying matrices
Typical time
90 s
Your time
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The rule this testsMultiplication of matrices
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Ten questions from Matrices, at your own pace.

Practise this chapter →

Ten questions from Matrices, at your own pace.