Matrices

An m×n matrix can be multiplied by an n×p matrix, and the result is an m×p matrix. The number of columns in the first matrix must be the same as the number of rows in the second matrix. For example, a 4 ×2 matrix can be multiplied by a 2 ×3 matrix to produce a 4 ×3 matrix.

Error Analysis

The graphing of the inequality in number 20 is correct , but the line should be dotted , not solid. The graphing in number 21 is also correct , but the shaded should be below the graph.

 (1,2) is a solution for the system 5x-y=7, but it is not a solution for the other system x+4y= -5.

Absolute Value Function

Absolute Value equations are written as y=a|x-h|+k . To find the vertex of the graph , h and k will be your vertex , which looks like a coordinate pair : (h,k) . In the equation , A tells whether the V opens up or down . H moves the V right or left (opposite), and K moves V up and down.

Systems of Equations

No solution

Inconsistent