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Matrices · Question 52 of 106

Question 52

MediumOriginal question

What is the element in row 2, column 3 of [123][456]\begin{bmatrix}1 \\ 2 \\ 3\end{bmatrix}\begin{bmatrix}4 & 5 & 6\end{bmatrix}?

Options for question 52

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. A 3 × 1 matrix times a 1 × 3 matrix is a 3 × 3 matrix, and each element is a single product.

  2. Row 2 of the column is 2 and column 3 of the row is 6: 2×6=122 \times 6 = 12.

Worth noting

32 is 4+10+184 + 10 + 18, the product in the other order, which is a 1 × 1 matrix.

Concept
A row times a column, and a column times a row
Typical time
90 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.