4.1 Using Matrices Warm-up (IN) Learning Objective: to represent mathematical and real-world data in a matrix and to find sums, differences and scalar.

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Presentation transcript:

4.1 Using Matrices Warm-up (IN) Learning Objective: to represent mathematical and real-world data in a matrix and to find sums, differences and scalar products of matrices. Evaluate each expression for a=-5, b=1.3 and c=-7. 1.a+b 2. b-c3. a-b+c4. -4b Solve each equation: 5. 16=2x y+8=-y x=10.5 y=-5.75

Matrix – Notes Dimensions – Learning Objective: to represent mathematical and real-world data in a matrix and to find sums, differences and scalar products of matrices. A rectangular array of #s enclosed in single set of brackets row column Entry (or element) – each # in the matrix address – row 2 column 1

Learning Objective: to represent mathematical and real-world data in a matrix and to find sums, differences and scalar products of matrices. 2 matrices are equal if they have the same dimensions and corresponding entries are equivalent EX 1 – Solve for x and y:

EX 2 – Learning Objective: to represent mathematical and real-world data in a matrix and to find sums, differences and scalar products of matrices.

EX 3 – Scalar Multiplication Learning Objective: to represent mathematical and real-world data in a matrix and to find sums, differences and scalar products of matrices.

EX 4 – Represent the quadrilateral as matrix R E(-4,4) F(3,1) H(-4,-3) G(0,-4) E F G H Learning Objective: to represent mathematical and real-world data in a matrix and to find sums, differences and scalar products of matrices.

EX 5 – Graph the polygon that is represented by the matrix described below a. 3R b. 1/3R Learning Objective: to represent mathematical and real-world data in a matrix and to find sums, differences and scalar products of matrices.

HW – p #13-45 odd, 59-62, 66 Out – explain how to represent a polygon in the coordinate plane as a matrix. Summary – today I learned…