Matrix arithmetic

Matrix arithmetic Quiz

Spec 5.1–3 · Edexcel International A Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. Given A=(1203)\mathbf A=\begin{pmatrix}1&2\\0&3\end{pmatrix} and B=(4−125)\mathbf B=\begin{pmatrix}4&-1\\2&5\end{pmatrix}, find A+B\mathbf A+\mathbf B.

    • A. (4−2015)\begin{pmatrix}4&-2\\0&15\end{pmatrix}
    • B. (−33−2−2)\begin{pmatrix}-3&3\\-2&-2\end{pmatrix}
    • C. (5128)\begin{pmatrix}5&1\\2&8\end{pmatrix}
    • D. (512−2)\begin{pmatrix}5&1\\2&-2\end{pmatrix}

  2. 2. Find 3(2−104)3\begin{pmatrix}2&-1\\0&4\end{pmatrix}.

    • A. (6−3012)\begin{pmatrix}6&-3\\0&12\end{pmatrix}
    • B. (6−104)\begin{pmatrix}6&-1\\0&4\end{pmatrix}
    • C. (5237)\begin{pmatrix}5&2\\3&7\end{pmatrix}
    • D. (6−304)\begin{pmatrix}6&-3\\0&4\end{pmatrix}

  3. 3. Find (1234)(0110)\begin{pmatrix}1&2\\3&4\end{pmatrix}\begin{pmatrix}0&1\\1&0\end{pmatrix}.

    • A. (0230)\begin{pmatrix}0&2\\3&0\end{pmatrix}
    • B. (1324)\begin{pmatrix}1&3\\2&4\end{pmatrix}
    • C. (3412)\begin{pmatrix}3&4\\1&2\end{pmatrix}
    • D. (2143)\begin{pmatrix}2&1\\4&3\end{pmatrix}

  4. 4. A\mathbf A is a 2×32\times3 matrix and B\mathbf B is a 3×13\times1 matrix. What is the order of AB\mathbf{AB}?

    • A. 3×33\times3
    • B. 2×12\times1
    • C. 3×23\times2
    • D. AB\mathbf{AB} does not exist

  5. 5. Find (1234)(56)\begin{pmatrix}1&2\\3&4\end{pmatrix}\begin{pmatrix}5\\6\end{pmatrix}.

    • A. (524)\begin{pmatrix}5\\24\end{pmatrix}
    • B. (1139)\begin{pmatrix}11\\39\end{pmatrix}
    • C. (1739)\begin{pmatrix}17\\39\end{pmatrix}
    • D. (2334)\begin{pmatrix}23\\34\end{pmatrix}

Quiz