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Year 10 · Patterns & Algebra
Matrix addition and scalar multiples
A matrix is a grid of numbers. Add matching entries, scale every entry, or multiply rows by columns.
How to do it
- Add: entry plus matching entry.
- Scalar: multiply every entry.
- Product: row of the first times column of the second. Determinant of [a b; c d] is ad − bc.
Worked example
What is the entry in row 1, column 1 of A + B?
Add the matching entries: 6 + (0) = 6.
Answer: 6
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Watch outAB and BA are usually different.
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