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Matrices · Question 36 of 106

Question 36

EasyOriginal question

If A=[14−2035]A = \begin{bmatrix}1 & 4 & -2 \\ 0 & 3 & 5\end{bmatrix} and B=[2−1340−2]B = \begin{bmatrix}2 & -1 & 3 \\ 4 & 0 & -2\end{bmatrix}, what is the element in row 2, column 3 of 3A−2B3A - 2B?

Options for question 36

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Each element of 3A−2B3A - 2B is 3aij−2bij3a_{ij} - 2b_{ij}.

  2. Here 3(5)−2(−2)=15+4=193(5) - 2(-2) = 15 + 4 = 19.

Worth noting

11 loses the sign: −2×(−2)-2 \times (-2) is +4+4, not −4-4.

Concept
Adding and scaling matrices
Typical time
60 s
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The rule this testsAddition and multiplication by a scalar
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Ten questions from Matrices, at your own pace.

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Ten questions from Matrices, at your own pace.