Matrices and Determinants

8-1 to 8-5

· I can write an augmented matrix, and use elementary row operations and back substitution to solve a system of linear equations.

· I can perform basic matrix operations of addition, subtraction, multiplication, and scalar multiplication.

· I can use matrix operations to model and solve real-life problems.

· I can use Gauss Jordan elimination to find the inverse of matrices.

· I can use the matrix capabilities of a graphing calculator to find the inverse of a matrix.

· I can find the determinants of a 2x2 matrices.

· I can find the determinants of square matrices by expanding by cofactors.

· I can use the matrix capabilities of a graphing calculator to find the determinant of a matrix.

· I can use determinant to find the area of a triangles.

· I can use determinants to test for collinear points.

· I can use determinants and Cramer’s Rule to solve systems of linear equations.

Movie title: 8-1 Notes Matrices & Systems

Movie title: 8-1 p.579(09-21) odd order & matrices

Movie title: 8-1 p.579(41-44) is it row echelon or reduced row echelon form

Movie title: 8-1 p.579(49,50) find rref using a calculator

Movie title: 8-1 p.579(55,57) write system & back-subst

Movie title: 8-1 p.579(59,61) write answers from Gauss -Jorden (rref) form

Movie title: 8-1 p.579(64,65) solve using Gauss elimination & back-subst

Movie title: 8-1 p.579(79,81) rref with infinite & no solutions

Movie title: 8-1 p.579 #107 finance using matrices & rref

Movie title: 8-1 p.579 #71 Guass Elim & back-subst

Movie title: 8-2 Notes Operations of Matrices

Movie title: 8-2 p.594(01) find x & y with equal matrices

Movie title: 8-2 p.594(12,18,19,23) add & subt matrices

Movie title: 8-2 p.594(30, 31) solve for x in the eq.

Movie title: 8-2 p.594(33,35,39) mult matrices

Movie title: 8-2 p.594(47) mult matrices AB, BA, AA

Movie title: 8-2 p.594(65,68,72) applications with matrix mult

Movie title: 8-2 p. 594(79,82,83,86) name the order

Movie title: 8-3 Notes Inverse & Square Matrix

Movie title: 8-3 p.605(05,9) Show A& B are inverses

Movie title: 8-3 p.605(13,15,17) Find the inv matrix by hand

Movie title: 8-3 p.605(25) find the inv matrix on a calculator

Movie title: 8-4 Notes Determinant of Sq Matrix

Movie title: 8-4 p.613(06,9,12,15,18, 24) find determinant

Movie title: 8-4 p.613(33) expand on cofactors to find determinant

Movie title: 8-4 p.613(39,41,43,55,62) find the determinant

Movie title: 8-4 p.613(63) determinants and multiplication

Movie title: 8-5 Decoding Extra Credit WS

Movie title: 8-5 Notes Applications of Matrices & Determinants

Movie title: 8-5 p.625(07,8,13) Cramer's Rule to solve systems

Movie title: 8-5 p.625(21,23,25,27) Find the Area of the Triangle

Movie title: 8-5 p.625 (39,40) are the points collinear

Movie title: Rev 8-1 to 8-5 (04,5) matrix operations

Movie title: Rev 8-1 to 8-5 (06,7) matrix multiplication

Movie title: Rev 8-1 to 8-5 (10,11,12) Determinants

Movie title: Rev 8-1 to 8-5 (13,14) Inverse Matrix

Movie title: Rev 8-1 to 8-5 (15,16,17,18) Determinants, Area of Triangles, Collinear pts

Movie title: Rev 8-1 to 8-5 (19,20) Cramer's Rule

Movie title: Rev 8-1 to 8-5 #01 solve system using matrices

Movie title: Rev 8-1 to 8-5 #02 solve systems with matrices

Movie title: Rev 8-1 to 8-5 #03 Borrowing money application

Movie title: Rev 8-1 to 8-5 #08 Solve for x

Movie title: Rev 8-1 to 8-5 #09 Manufacturing Application