Mathematics·Matrices · NSSCO 10.1
Matrices & operations
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A matrix is just numbers arranged neatly in rows and columns — and it turns out to be one of the tidiest tools in mathematics. In this lesson we learn to read a matrix and state its order, then add and subtract matrices, multiply by a scalar, and tackle the big skill: multiplying two matrices row by column. We meet the identity and zero matrices, work out the determinant and inverse of a 2×2, and finish by using that inverse to solve two simultaneous equations at once.
What you'll learn in this lesson
By the end you should be able to (NSSCO Mathematics 10.1):
- Represent information as a matrix of any order and state the order (rows × columns) of a matrix
- Add and subtract matrices of the same order, entry by entry
- Multiply a matrix by a scalar
- Multiply two matrices row-by-column, and decide when a matrix product is possible
- Use the zero matrix and the identity matrix
- Calculate the determinant of a 2×2 matrix
- Find the inverse of a non-singular 2×2 matrix
- Solve simultaneous linear equations by the matrix (inverse) method
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