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Matrices · Question 25 of 106

Question 25

EasyOriginal question

If [x+256y−1]=[7563]\begin{bmatrix} x + 2 & 5 \\ 6 & y - 1 \end{bmatrix} = \begin{bmatrix} 7 & 5 \\ 6 & 3 \end{bmatrix}, what is x+yx + y?

Options for question 25

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Equal matrices have equal corresponding elements: x+2=7x + 2 = 7 and y−1=3y - 1 = 3.

  2. So x=5x = 5, y=4y = 4 and x+y=9x + y = 9.

Worth noting

11 moves both constants the wrong way: x=9x = 9 and y=2y = 2.

Concept
Equality of matrices
Typical time
60 s
Your time
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The rule this testsEquality 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.