Percent of Crop Grown in Each Country

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Presentation transcript:

Percent of Crop Grown in Each Country Matrices Percent of Crop Grown in Each Country Wheat Rice Corn China India CIS USA

A matrix is a rectangular arrangement of numbers in rows and columns. row x column 2 x 3 matrix 2 Rows Entry (ies) 1, 2 = -1 3 Columns

Systems of equations as matrices x + 3y + z = 1 x + 5y + 2z = – 1 2x + 6y + 3z = 2 or

Solving a matrix equation coefficient matrix ax = b inverses acted upon each other yield the identity element – they cancel each other a-1ax = a-1b x = a-1b We simply have to multiply by the inverse of the coefficient matrix.

Using Graphing Calculator to solve Matrix Equation

x + 3y + z = 1 x + 5y + 2z = – 1 2x + 6y + 3z = 2 (4, -1, 0)

w + 2x + y – z = – 6 2w – 2x +y + 2z = 8 – w + x – 2y + 3z = 11 4 x 4 matrix 4 x 1 matrix (1, -1, -2, 3)

assignment page 166/19 - 21