2.5 DETERMINANTS AND MULTIPLICATIVE INVERSES OF MATRICES By the end of the section students will evaluate determinants, find inverses of matrices, and.

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Presentation transcript:

2.5 DETERMINANTS AND MULTIPLICATIVE INVERSES OF MATRICES By the end of the section students will evaluate determinants, find inverses of matrices, and set up matrix equations. Students will demonstrate this by creating a foldable.

Example 1: Find the determinant of each second order matrix

By the end of the section students will evaluate determinants, find inverses of matrices, and set up matrix equations. Students will demonstrate this by creating a foldable. Example 1: Find the determinant of each second order matrix

By the end of the section students will evaluate determinants, find inverses of matrices, and set up matrix equations. Students will demonstrate this by creating a foldable. Example 2: Find the determinant of each third order matrix

By the end of the section students will evaluate determinants, find inverses of matrices, and set up matrix equations. Students will demonstrate this by creating a foldable. Example 2: Find the determinant of each third order matrix

Example 3: Find the inverse of each second order matrix By the end of the section students will evaluate determinants, find inverses of matrices, and set up matrix equations. Students will demonstrate this by creating a foldable.

Didn’t matrices come from systems of equations? When are we going to get to those because I LOVE solving systems of equations! More than Christmas!!

Example 4: Write the system of equations as a matrix equation and identify the matrix needed to solve the equation. By the end of the section students will evaluate determinants, find inverses of matrices, and set up matrix equations. Students will demonstrate this by creating a foldable.

Example 4: Write the system of equations as a matrix equation and identify the matrix needed to solve the equation. By the end of the section students will evaluate determinants, find inverses of matrices, and set up matrix equations. Students will demonstrate this by creating a foldable.

Example 4: Write the system of equations as a matrix equation and identify the matrix needed to solve the equation. By the end of the section students will evaluate determinants, find inverses of matrices, and set up matrix equations. Students will demonstrate this by creating a foldable.

Summary Create your own four door foldable and create and SOLVE a problem similar to each type of example given in class. By the end of the section students will evaluate determinants, find inverses of matrices, and set up matrix equations. Students will demonstrate this by creating a foldable.