MATH-1428 Lecture Notes - Lecture 30: Row Echelon Form, Augmented Matrix, Socket Am3

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6. 3 matrices and systems of equations notes: sterling. Provide a generalization to each of the key terms listed in this section. 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) (cid:20) 2x +3y. Write the augmented matrix of the following system of equations.