MAC1106 Chapter Notes - Chapter 12: Matrix Multiplication, Algebraic Expression, Scalar Multiplication

• School: Miami Dade College
• Department: Mathematics: Calculus & Pre-Calculus
• Course: MAC1106
• Professor: Staff

Document Summary

12. 2 systems of linear equations - matrices notes: sterling. A matrix is a rectangular array of numbers, which can be explain by the following array: Column 1 column 2 column 3 column j column n. Row m a11 a21 a31 ai1 am1 a12 a22 a32 ai2 am2 a13 a23 a33 ai3 am3 a1j a2j a3j aij amj a1n a2n a3n ain amn. Augmented matrix of a system of linear equations. An augmented matrix is when you have a system of linear equations written as a matrix by writing. [only] the coe cients and even the constants that appeared in the original equations. Write the augmented matrix of the following system of equations. x + y = 8. 2x + 3y = 20 (cid:26)2x + 3y = 20 (cid:12)(cid:12)(cid:12)(cid:12) x + y = 8 (cid:12)(cid:12)(cid:12)(cid:12) 8 (cid:21) (cid:20) 2x +3y (cid:20) 2 3. Write the augmented matrix of the following system of equations.