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Matrices · Question 79 of 106

Question 79

MediumOriginal question

A=[aij]A = [a_{ij}] is a 3 × 2 matrix with aij=2i−ja_{ij} = 2i - j. What is the element in row 1, column 3 of A′A'?

Options for question 79

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Row 1, column 3 of A′A' is row 3, column 1 of AA: a31a_{31}.

  2. a31=2(3)−1=5a_{31} = 2(3) - 1 = 5.

Worth noting

−1-1 is 2(1)−32(1) - 3, as if AA had an a13a_{13}; a 3 × 2 matrix has no column 3.

Concept
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Ten questions from Matrices, at your own pace.

Practise this chapter →

Ten questions from Matrices, at your own pace.