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Finite X/A: Unit 6 Day 1. Demonstrate an Understanding of Concepts. Addition, Subtraction & Multiplication by a Scalar. Matrix. Football Stats Matrix. Definition of a Matrix.
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Finite X/A: Unit 6 Day 1 Demonstrate an Understanding of Concepts Addition, Subtraction & Multiplication by a Scalar
Definition of a Matrix • An m by n matrix is a rectangular array of elements arranged in m rows and n columns such that it can be written as… Matrices are denoted with Capital Letters!
Dimensions of a Matrix • Listed as... Row x Column Determine the Dimensions of the Matrices...
Equal Matrices • Two matrices are equal if… • They have the same dimension • They have the same exact numbers in all corresponding positions Equal or not equal? and
Adding Matrices • Matrices can only be added if… • To add them, add each number in the corresponding position and then write the sum in that corresponding position of the new matrix. They have the SAME dimension!
Multiplication by a Scalar • As we saw before, matrices are denoted by capital letters. • Sometimes you will see a problem like this… , Find 3A. This is called scalar multiplication
How to Multiply by a Scalar • To perform scalar multiplication, multiply every element of the matrix by the scalar
More Scalar Multiplication • You may also see matrices written as such… This still means scalar multiplication… Multiply by 4
Subtracting Matrices… • To subtract matrices, combine scalar multiplication with matrix addition…
Closure • What is/are… • A (the) Matrix? • The dimensions of a matrix? • Equal Matrices? • Matrix Addition and Subtraction? • Scalar Multiplication?