
#1
January 12th, 2020,
13:23
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.

January 12th, 2020 13:23
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#2
January 12th, 2020,
13:49
$[M]^{1} \cdot [M] = [I]$
$\begin{bmatrix}
5t & 6\\
t & t
\end{bmatrix}
\cdot
\begin{bmatrix}
t & 6\\
t & 5t
\end{bmatrix}=
\begin{bmatrix}
1 & 0\\
0 & 1
\end{bmatrix}$
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 ...