# Further Maths - Induction for Matrices

> Source: https://ollybritton.com/notes/a-level/further-maths/topics/induction-for-matrices/ · Updated: 2021-01-05 · Tags: further-maths, induction

##### What is the general technique for proving a statement about matrices using induction??
Multiplying out the matrix for $k+1$ and showing that it's the same as substituting $k = k+1$ into the normal $k$ matrix.
^matrix-induction-technique

##### How could you rewrite $M^{k+1}$??
$$
M^k M
$$
^matrix-power-step-split

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