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 (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 diagonal. False. If i ≠ j, then Aij = −Bij, so (A − B)ij = 2Aij, and A − B is not diagonal.

5

step-by-step explanation:

the forst and 3rd

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

0.038

step-by-step explanation: