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Thread: Matrix equation

  1. MHB Apprentice

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    #1
    I have been teaching myself matrices for my IGCSE course and I ran into a problem in a past paper which I have no clue how to solve. The problem is part b of the attached image. Thanks for your help in advance.

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    #2
    $[M]^{-1} \cdot [M] = [I]$

    $\begin{bmatrix}
    -5t & 6\\
    t & -t
    \end{bmatrix}
    \cdot
    \begin{bmatrix}
    t & 6\\
    t & 5t
    \end{bmatrix}=
    \begin{bmatrix}
    1 & 0\\
    0 & 1
    \end{bmatrix}$

    Multiply $[M]^{-1} \cdot [M]$ , then set each corresponding element in the product equal to the elements in the identity matrix to get the desired equation in $t$.

    Give it a go and see how you do ...

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