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lilavasa [31]
3 years ago
14

Find the values of the variables

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Looks like you're given an equality between two matrices,

\begin{bmatrix}-12&-w^2\\2f&3\end{bmatrix}=\begin{bmatrix}2k&-81\\-14&3\end{bmatrix}

Two matrices are equal if the entries in the same positions (row and column) are equal. This means

\begin{cases}-12=2k\\-w^2=-81\\2f=-14\\3=3\end{cases}

We can ignore the last one, since it's clearly true. For the remaining, we get

-12=2k\implies k=-\dfrac{12}2=-6

-w^2=-81\implies w^2=81\implies w=\pm9

2f=-14\implies f=-\dfrac{14}2=-7

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