Determine if the statement is true or false, and justify your answer. You may assume that A and B are n × n matrices. If A and B are diagonal matrices, then so is A − B. True. If i ≠ j, then Aij = Bij = 0, so (A − B)ij = 0, and A − B is diagonal. True. If i = j, then Aij = Bij = 0, so (A − B)ij = 0, and A − B is diagonal. False. If i ≠ j, then Aij = −Bij, so (A − B)ij = 2Aij, and A − B is not diagonal. False. If i = j, then (A − B)ij = Aij − Bij may not be zero, so A − B is not necessarily diagonal. False. If i ≠ j, then (A − B)ij = Aij − Bij may not be zero, so A − B is not necessarily diagon

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

it shoild be o

step-by-step explanation:

21

jk it's 20

step-by-step explanation:

step-by-step explanation:

left be aligning the decimal points is required to not required see the number of digits to the right