For three matrices of equal size, a, b, and c, where a represents a reflection across the line y = x, b represents a
counterclockwise rotation of 45°, c represents a reflection across the y-axis, and x =
:
a. show that matrix addition is commutative: a+ b= b+ a
b. show that matrix addition is associative: a+ (b+ c) = (a+ b) + c

If anyone has done the algebra 2 chaos theory portfolio would you be wiling to me? i kind of know what i'm doing i just don't know if i'm doing it right.

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

The price of a visit to the dentist is calculated according to the formula 50+100n50+100n where nn is the number of cavities the dentist finds. on your last visit to the dentist, 22 cavities were found. what was the cost of your visit?