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Writ review Lesson: “For you enjoyment” Writ Review WHAT’S OUR ROW REDUCE, WHAT’S ENTER THE REVERSE VECTOR, REUSE, VICTOR? UP DOT? MATRIX RECYCLE IN-VERSE 250 250 250 250 250 500 500 500 500 500 750 750 750 750 750 1000 1000 1000 1000 1000 Final Jeopardy What’s our vector? Example They are the two things a given vector possesses, which make it unique. What are “direction” and “magnitude?” RETURN What’s our vector? for 250 It is the graphical solution of a b where: a 3,1 b 1, 4 What is a b b a RETURN What’s our vector? for 500 It is the algebraic solution of a 2b where: a 2,2 b 1,3 What is a 2b 0,4 RETURN It’s the real name of this former Los Angeles Laker basketball player and legend pictured in the video. Who is Kareem Abdul Jabar? http://www.youtube.com/watch?v=fVq4_HhBK8Y RETURN What’s our vector? for 1000 Determine the constants c1 and c2 that result from the vector decomposition of p 0 in and terms of the vectors v 1 v2 What are c1 1 c2 5 2 RETURN What’s up, Dot? example Compute (if possible), 9,6,3 2,1,3 What is 21? RETURN What’s up, Dot? for 250 It’s the name we use to describe the following calculation: 6 4,2 What is a scalar multiplication? RETURN What’s up, Dot? for 500 Compute (if possible), 3,1 (6 1,3 ) What is 36? RETURN What’s up, Dot? for 750 Compute (if possible), u v 3 given that: u 1,1,0 v 0,1,0 What is -3? RETURN What’s up, Dot? for 1000 Compute (if possible), 0.5 b a given that: a 3,0.50 b 0.50,2 What is -0.25? RETURN Enter the Matrix for 250 Given, 2 3 2 2 1 A 4 1 B C 1 6 3 1 3 0 Compute AB 22 7 14 1 What is ? 16 10 RETURN Enter the Matrix for 500 Given, 2 3 2 2 1 A 4 1 B C 1 6 3 1 3 0 Compute CA What is DNE? RETURN Enter the Matrix for 750 Considering the following the matrix multiplication, 2 1 4 1 3 2 s 27 43 3 2 4 4 9 1 13 21 32 2 3 7 2 3 10 4 0 77 Find s What is -2? RETURN Enter the Matrix for 1000 Considering the following the matrix multiplication, 2 1 4 1 3 2 14 27 43 3 2 4 4 9 1 13 21 32 2 3 7 2 h 10 4 0 77 Find h What is -3? RETURN Row Reduce, Reuse, & Recycle example When performing row reduction, they are the 3 basic operations that can be applied to a system of equations [Book use authorized!]. What are: 1. Multiply any equation by a non-zero constant? 2. Interchange any two equations (change their order)? 3. Add (or subtract) a multiple of any equation to (or from) any other equation and replace one of the equations involved in this operation with the resulting equation? [Note: Pg. 204] RETURN Row Reduce, Reuse, & Recycle for 250 Convert the following to augmented-matrix form, 1 8 x y 2 z 32 2 7 3 y 7 x 9 z 17 7 4x z 5 5 y 4 1 / 2 8 / 7 2 32 What is 7 3 9 17 4 5 7/4 5 RETURN Row Reduce, Reuse, & Recycle for 500 Convert the following to matrix-vector form, 1 8 x y 2 z 32 2 7 3 y 7 x 9 z 17 7 4x z 5 5 y 4 What is 1 / 2 8 / 7 2 x 32 7 3 y 17 9 4 5 7 / 4 z 5 RETURN Row Reduce, Reuse, & Recycle for 750 Solve using row reduction, x1 x 2 0 x1 x 2 4 What is x1 2 ? x2 2 RETURN Row Reduce, Reuse, Recycle for 1000 Solve using row reduction, x1 x 2 2 2 x1 2 x 2 5 What is x1 x 2 2 ? 0 1 No solution RETURN Reverse Inverse for 250 It is the det(B) given, 2 0.1 B 3 0.75 What is 1.80? RETURN Reverse Inverse for 500 ; Find A-1 given, 2 1 A 1 3 3 / 5 1 / 5 What is A-1 = ? 1 / 5 2 / 5 RETURN Reverse Inverse for 750 Find C-1 given, 0.75 2.25 C 2 6 What is DNE? Det(C) = 0 RETURN Reverse Inverse for 1000 1 1 2 Given D-1 = 6 3 15 Find D. 3 2 What is ? 6 1 RETURN FINAL JEOPARDY Find a Matrix J, given det(J) = -5. What is “anything?” [As long as it works!]