Answer:
See attachment
Step-by-step explanation:
How do I determine the measure of each missing angle?
1 answer:
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Answer: The answers are given below.
Step-by-step explanation: Given that a 3 × 3 matrix P satisfies the matrix equation P² = P.
We are to
(a) find the possibilities for the determinant of P.
(b) explain the reason behind there are no other possibilities.
(c) give an example of P, for each possible determinant.
(a) According to the given information, we have
So, P can be either a zero matrix of order 3 or an identity matrix of order 3.
If P = 0, then det(P) = 0 and if P = I, then det(P) = 1.
Therefore the possible determinants of P are 0 and 1.
(b) There can be any other determinant other than 0 and 1, because if so, then the given equation P² = P will not be satisfied.
(c) If |P| = 0, then the matrix P can be can be of the form as follows:
If |P| = 1, the the matrix P can be of the form as follows :
Thus, all the parts are answered.
Answer:
0.025 Kg/ cm²
Step-by-step explanation:
if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable
the equation that represents inverse proportion :
where b = constant of proportionality
to determine the answer in this question :
1. determine constant of proportionality
200 = k / 32
k = 6400
2. Determine the amount of pressure using the constant of proportionality
256, 000 = 6400 / pressure
pressure = 6400 / 256, 000 = 0.025