![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Does the matrix in mathematics play an important role in the calculation with the advanced method
It should be said that not only that. Matrix theory has more rich content
Very simple matrix operation!
Z on the top left
- I on the top right
The lower left is 1-i
The bottom right is 1 + I
This is zero
Find the value of complex Z?
Please tell me something about it. Did you learn it~
Matrix operation, such as this four value matrix, the result of cross multiplication subtraction
Z (1 + I) - (- 1) (1-I) = 0, Z + Zi + 1-I = 0, z = (i-1) / (I + 1) denominator can be obtained by multiplying I-1 at the same time, z = - 2I / (- 2) = I
Proof: if a is an integer, by (2a + 1) &# 178; - (2a-1) &# 178; must be divisible by 8
（2a+1）²-（2a-1）² = (4a² + 4a +1) - (4a² - 4a +1) = 8a
8a is definitely divisible by 8
The maximum value of the function y = x4-4x + 3 in the interval [- 2,3] is______ ．
∵ y = x4-4x + 3, ∵ y '= 4x3-4, when y' = 4x3-4 ≥ 0, X ≥ 1, the function y = x4-4x + 3 monotonically increases ∵ on [1,3], when x = 3, the function takes the maximum value 72, when y '= 4x3-4 < 0, x < 1, the function y = x4-4x + 3 monotonically decreases ∵ on [- 2,1], when x = - 2, the function takes the maximum value 27
The outer diameter of a type 26 bicycle wheel is about 64 cm, which is 16 / 17 of that of a type 28 bicycle wheel
(1) What is the ratio of wheel circumference of type 26 to type 28?
Please write it in full
(2) How many centimeters does the wheel of model 28 rotate more than that of model 26
Please write it in full
(1) What is the ratio of wheel circumference of type 26 to type 28?
Circumference = π D, the preceding term of ratio = molecule
So it's 16:17
(2) How many centimeters does the wheel of model 28 rotate more than that of model 26
64x1 / 17, etc
Prove the existence of sequence limit and find its value A1 = √ C, an + 1 = √ (c + an)
In order to prove that an has an upper bound, guess an
Obviously, y = √ (c + x) is an increasing function
√(c+M)
Try to divide 88.8 (2008 8) by 13 (solve the problem in detail)
2008X8=1004X16=1004X13+1004X3
1004X3=251X12=251X13-251=251X13-260+9
The remainder is 9
How can we simply calculate 13 × (- 7) of 99 and 14?
13 × (- 7) of 99 and 14
= (1 / 100-14) × (- 7)
= 100 × (- 7) - 1 / 14 × (- 7)
= (- 700) + 1 / 2
= - 699 and 1 / 2
How to solve the variable coefficient differential equation: Y "- 2XY '- 4Y = 0, initial value: Y (0) = 0, y' (0) = 1
Let y '= t, then y' '= DT / DX, y = 1 / 2T ^ 2 + C1
DT / dx-2xt-2t ^ 2 + C1 = 0, the general solution can be obtained by solving the formula of the first order equation, and two undetermined coefficients can be obtained by bringing in the initial value solution
It is known that there are six integer solutions to the inequality system {x-a > 0,3-2x.0} about X. how to find the value range of a?
From x-a > 0, 3-2x > 0
The solution is: a
RELATED INFORMATIONS
- 1. Simple operation of 0-1 matrix 1 0 1 0 1 0 What's the square of this matrix
- 2. When calculating decimal addition and subtraction, be sure to align the same digits______ (judge right or wrong)
- 3. Formula calculation 1. The number of girls in grade five accounts for four ninth of the total number of students in grade five, one fourth of the total number of students in grade five, and what percentage of the total number of students in grade five? 2. In a subtraction formula, if the subtraction is equal to four ninths of the subtracted, what is the difference equivalent to? 3. Three quarters of the number a is equal to two thirds of the number B. A: how much is the number B? 4. For a simplest fraction, if the numerator adds 1, the fraction becomes 1; if the numerator subtracts 2, it can be reduced to two-thirds. What is the simplest fraction?
- 4. Fourth grade oral simple operation with answers, urgent!
- 5. Fourth grade oral arithmetic, simple
- 6. Calculating lim2n-1 / N + 3 with sequence limit
- 7. The limit value of sequence If xn = 1 / 2n power, and how to judge the convergence or divergence of the sequence, please give me another example, thank you!
- 8. Linear Algebra: simple matrix proof 1. If matrix A of order n satisfies a ^ 3 = 3A (A-I), it is proved that I-A is invertible and (I-A) ^ (- 1) is obtained 2. Let a, B and C be matrices of the same order, and C be nonsingular. Satisfy C ^ (- 1) AC = B. prove: C ^ (- 1) a ^ MC = B ^ M
- 9. Given the matrix A = 0 3 3 1 10 - 1 2 3, and ab = a + 2B, how to find the matrix B? Distance matrix A is a 3-order distance matrix. I don't know if I can understand it. I'll write another one now The known matrix A = 0.33, 1 1 0. -1 2 3, and ab = a + 2B for matrix B How should I ask for this?
- 10. A proof problem of College Linear Algebra: let n-order matrix a satisfy the square of a = a, e is n-order unit matrix, and prove that R (a) + R (A-E) = n
- 11. The operation of matrix unit I is the unit matrix of 2 * 2, a = 2453, C = a-7i, C =?
- 12. Matrix A = α ^ t α - I, B = 2 α ^ t α + I, where I is the unit matrix of order n, then what is ab equal to
- 13. What is the square of the identity matrix equal to?
- 14. Can the square of matrix (a + b) also be directly calculated by the square formula, which is equal to a + 2Ab + B, and the cube or something
- 15. -How to judge whether this matrix is similar to diagonal matrix or not
- 16. The solution of diagonal matrix 2 0 1 3 1 3 Find his diagonal matrix and judge whether they are similar or not
- 17. Let a matrix of order 3 be a = | 1,2,3 2,1,3 3,3,6 |, Find the invertible matrix P such that P ＾ - 1) AP = a
- 18. 1-21-2513-8-2 find the inverse of this matrix 1 -2 1 -2 5 1 3-8-2 find the inverse of this matrix
- 19. Number a is 20, number B is 25. 1. What percentage is number B? 2. What percentage is number a less than number B? 3. What percentage is number B more than number a? 4. What's the percentage of the sum of a, B, two numbers? Quick! Clear answer, don't give me the answer directly, and don't omit the middle of the formula^
- 20. There is a batch of goods, which will be transported by car a in 10 hours and by car B in 12 hours. How many hours will it take if car B transports the goods three hours before car a transports the goods?