Let a be the 4 x 4 matrix (20.3) considered in this lecture and the previous one. (a) determine det a from (20.5). (b) determine det a from (21.3). (c) describe how gaussian elimination with partial pivoting can be used to find the determinant of a general square matrix.

answer:

the correct answer is b

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: