INVERSE MATRIX(2x2)

Cariaga, Melody KayeDelgado, Diana MarieFeliciano, Aila Marie

WHAT IS AN INVERSE MATRIX?

The inverse of a nonsingular matrix A is the matrix A-1 where A · A-1 = A-1 · A = I, theidentity matrix.

TERMS

IDENTITY MATRIX The matrix I is called an identity matrix because IA = A and AI = A for all matrices A. This is similar to the number 1, which is called the multiplicative identity, because 1 a = a and a 1 = a for all real numbers a.

IDENTITY MATRIX “unit matrix” A square matrix which has a 1 for each element on the main diagonal and 0 for all other elements.

22x

33x

44x

Determinant an algebraic expression that transforms a square matrix M into a scalar.

Solving the Inverse of a 2x2 Matrix

Sample Problem No. 1

Sample Problem No. 1

Sample Problem No. 1

Sample Problem No. 1

Sample Problem No. 1c

Sample Problem No. 1

Sample Problem No. 1

Sample Problem No. 1

Sample Problem No. 1

Sample Problem No. 1

Sample Problem No. 1

Proving:

Sample Problem No. 2

Sample Problem No. 2

Sample Problem No. 2

Sample Problem No. 2

Sample Problem No. 2

Sample Problem No. 2

Sample Problem No. 2

Proving:

SOURCES:Pictures:http://help.adobe.com/en_US/FlashPlatform/beta/reference/

actionscript/3/images/identityMatrix.jpghttp://www.adobe.com/devnet/flash/articles/

matrix_transformations/fig02.gif

 Informationshttp://khanexercises.appspot.com/video?v=iUQR0enP7RQhttp://www.answers.com/topic/inverse-matrix-mathematicshttp://planetmath.org/encyclopedia/Determinant2.htmlhttp://chortle.ccsu.edu/VectorLessons/vmch16/

vmch16_4.html