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Demonstrate an Understanding of Concepts

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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Demonstrate an Understanding of Concepts

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  1. Finite X/A: Unit 6 Day 1 Demonstrate an Understanding of Concepts Addition, Subtraction & Multiplication by a Scalar

  2. Matrix

  3. Football Stats  Matrix

  4. 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!

  5. Dimensions of a Matrix • Listed as... Row x Column Determine the Dimensions of the Matrices...

  6. 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

  7. 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!

  8. Adding Matrices Example

  9. 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

  10. How to Multiply by a Scalar • To perform scalar multiplication, multiply every element of the matrix by the scalar

  11. More Scalar Multiplication • You may also see matrices written as such… This still means scalar multiplication… Multiply by 4

  12. Subtracting Matrices… • To subtract matrices, combine scalar multiplication with matrix addition…

  13. Closure • What is/are… • A (the) Matrix? • The dimensions of a matrix? • Equal Matrices? • Matrix Addition and Subtraction? • Scalar Multiplication?

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