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

Find the magnitude of the torque about p if an f = 80-lb force is applied as shown. (round your answer to the nearest whole number.) ft-lb

Abag has more green balls than blue balls, and there is at least one blue ball. let bb represent the number of blue balls and let gg represent the number of green balls. let's compare the expressions 2b2b and b + gb+g. which statement is correct? choose 1

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?