Proof by Induction 5 • Matrix Proofs • CP1 Ex8C • 🏅

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[peterbennett]

You may have covered this before, but if you don’t multiply matrices, (say matrix 1 and matrix 2 to give a product matrix, P), that regularly, the aide memoire for the product/resulting matrix, is that for each entry in it, its row position comes from matrix 1, and its column position from matrix 2, i.e. multiplied together. The entries being the summation of the multiplication of row entries in matrix 1 with column entries in matrix 2. Thus in each entry in the product matrix, say P(sub i, j) the “i”s are from the rows in matrix 1, whilst the “j”s are from the columns in matrix 2. This worked for me. At university this whole process will often be described as a dot product. Another quite general tip for university is to get used to the same thing/process having several names, some of which sound rather formal and daunting, but you’ll soon see, oh that’s just another name for x, y, z.

[humanthingss]

Omg I just had my first mock paper and I used your tip because I had one minute to write the matrix induction proof xD

[michaelswahla]

I would add after every concluding statement "by mathematical induction" just to be clear.

[humanthingss]

watching this at 10:28 on a sunday bc I decided to study 1-2 days before each of my mock exam