Is a positive definite matrix symmetric?

Is a positive definite matrix symmetric?


The definition of positive definite matrix is: let m be a symmetric matrix with real coefficients of order n, if x = (x) for any nonzero vector_ 1,...x_ n) If Xmx ^ t > 0, M is positive definite



The complex Z is a real number if and only if the absolute value of AZ = Z, the conjugate complex of BZ = Z


Choose a complex number B to be its conjugate, which means that the imaginary part of the complex number is 0 and it is a real number



Three teachers will take 38 students from class 41 to visit the science and Technology Museum. There are two kinds of vehicles available for rent: one is minivan, which can take up to seven people; the other is minivan;
Second, the car can take up to four people
Please write down three different car rental schemes
Who knows? Please tell me right away. I'm so anxious!


According to the theme, there are 41 teachers and students who need to take the bus
First, only rent a minibus, 7 people a car, 41 people need a total of 6 cars, a car will be empty a seat
Second, only rent a car, 4 people a car, 41 people need a total of 11 cars, a car will empty three places
Third, rent both minibuses and cars. 41 people need 3 minibuses and 52 cars are just finished



How does LIM (x tends to π / 2) {in (SiNx)} / (π - 2x) ^ 2 become LIM (x tends to π / 2) {sinx-1} / (π - 2x) ^ 2


The equivalent infinitesimal of X - 1 when x tends to 1 is LNX
The proof is as follows
lim(x-1/lnx)
x->1
Using the law of Robida
The formula is 1
It's over
So (SiNx - 1)
x->π/2
The equivalent infinitesimal of is ln (SiNx)
On the equivalent infinitesimal



It is known that the function f (x) whose domain is R is both an odd function and a periodic function with period 3. When x ∈ (0,32), f (x) = sin π x, f (32) = 12, then the number of zeros of function f (x) in the interval [0,6] is ()
A. 3B. 5C. 7D. 9


∵ when x ∈ (0, 32), f (x) = sin π x, Let f (x) = 0, then sin π x = 0, and the solution is x = 1. Moreover, the function f (x) is an odd function with the domain R, ∵ in the interval ∈ [- 32, 32], f (- 1) = f (1) = 0, f (0) = 0, f (x) is a periodic function with period 3, then the process f (x) = 0



You know, I know, I know, you know, how to say it in English?


You know I know,I know you know.



Five feet is equal to several meters in height


3 feet 1 meter 5 feet is about 1 meter 65



Let the variables X and y satisfy the constraint condition 2x − y ≤ 2x − y ≥ - 1x + y ≥ 1, then the maximum value of Z = 4x + 6y is______ .


The variables X and y satisfy the constraint conditions 2x − y ≤ 2x − y ≥ - 1x + y ≥ 1, and the feasible region is shown in the figure, so the maximum value of Z = 4x + 6y is when passing through the intersection point (3,4) of M, that is, 2x − y = 2x − y = − 1, so the maximum value is: 3 × 4 + 4 × 6 = 36



Driving a private car is more convenient than riding a bicycle


It's more convenient to drive a private car than to ride a bicycle
It is more convenient to drive a private car than ride a bike.



A number minus 2 can be divided by 3, minus 4 can be divided by 5, minus 6 can be divided by 7, minus 8 can be divided by 9, find this number? Thank you, who knows!
This number can be divided by 11


According to your question, that is to say, a number + 1 can be divided by 3, 5, 7 and 9 at the same time, and itself can be divided by 11
The least common multiple of 3, 5, 7 and 9 is 5 * 7 * 9 = 315, so let the number be 315k-1 (k is a positive integer)
It also needs to be divisible by 11, that is 315k-1 = 11a (both K and a are positive integers)
When k = 8, a obtains the positive integer solution 229
At this time, the number of the minimum satisfaction problem is 2519