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Linear Algebra: a sufficient condition for the similarity of matrix A and B I think we just need to verify that 1 rank is equal and 2 eigenvalues are consistent. But there is no reason
Let me give you an example: 110010001 and 110011001 have the same eigenvalues and ranks, but they are not similar
What are the conditions for the commutation of two matrices in linear algebra?
There are many kinds of commutative matrices. 1. If a and B are symmetric matrices, then AB is a symmetric matrix, which is a necessary and sufficient condition for ab = ba. 2. If a and B are inverse matrices, then AB = Ba = E3. The minimum polynomial of a matrix is equal to its characteristic polynomial, then AB = Ba is equivalent to B, which can be expressed as a polynomial of a, B = f (a)
Linear algebra! Matrix
Let AP = Pb, P = 1, B = - 1, find: F (a) = a ^ 8 (5e-6a + A ^ 2)
1 0 -2 1
1 -1 1 5
There's something wrong with that format. P is a third-order matrix. The first line is 11.1, the second line is 10-2, the third line is 1-11.b is also a third-order matrix, and the main diagonal line is - 11.5, and the rest is 0
Very simple. P is invertible. Then a = Pb (P inverse). So AB is similar. The eigenvalues of similar matrices are the same, so the eigenvalues of a are the same as B, which are - 1,1,5. F (a) = a ^ 8 (A-1) (a-5).. you need to understand the formula that the eigenvalues satisfy, and the matrix substitution also holds. So you need to be a 0 matrix. It is a 0 matrix of 3 * 3
Xiao Ming walks 78 meters per minute, and the distance from the Grand Theater to the school is three times as long as Xiao Ming's home to the school,
How far is the journey from Xiaoming's home to the Grand Theater? When can I get there?
The distance from Xiaoming to school is: 78x15 = 1170m
The distance to the Grand Theater is 1170 x 3 = 3510 meters
From school to the Grand Theater: 15x2 = 30 minutes
I wish you progress in your study and hope you will adopt it
Do not know, welcome to ask
Cut a cuboid whose length, width and height are 7cm, 6cm and 5cm into two cuboids, so that the sum of the surface areas of the two cuboids is the largest. What is the sum of the surface areas in cm2?
(7 × 6 + 7 × 5 + 6 × 5) × 2 + 7 × 6 × 2 = 107 × 2 + 84 = 214 + 84 = 298 (square centimeter)
Xiao Li rode from home to the county town. He planned to arrive in 5 hours and 30 minutes. Because the road is 3.6km uneven, the speed of this section of road is equivalent to 2 / 3 of the original,
So it's 12 minutes late. I'm looking for the whole journey
5 hours 30 minutes = 5.5 hours,
The original time for walking 3.6km is:
12 ÷ (3 / 2 - 1) = 24 minutes = 0.4 hours
The original speed was per hour:
3.6 △ 0.4 = 9 (km)
Xiao Li's family is far away from the county seat
5 × 9 = 49.5 (km)
A: Xiaoli is 49.5 kilometers away from the county
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Sixth grade mathematics essay (according to the reality of life)
hurry up
There are many interesting things in the world of mathematics. For example, in my exercise book of Book 9, there is a thinking question that says: "a bus is driving from the east city to the West City, traveling 45 kilometers per hour, stopping after 2.5 hours, just 18 kilometers from the midpoint of the East and West cities, East
Divide the wire with length of 1 into two sections to form a square and a circle respectively. In order to minimize the sum of the areas of the square and the circle, calculate the perimeter of the square?
I don't need to know the process of solving problems, just want to ask experts to help me see why my inequality method is wrong
Let the side length of a square be x and the radius of a circle be r
4*x+2*π*r=1
π (basic inequality) under the root sign of X & # 178; + π * r & # 178; ≥ 2 * x * r *
If we take the equal sign, then x = π under R * radical
Then π = 1 under 4 * x + 2 * x * radical
X = 1 / (π under 4 + 2 * radical)
Then the perimeter is equal to 4 / (π under the root of 4 + 2 *)
But the answer is 4 / (4 + π)
Let X be the side length of a square
Length 4x
Circumference of circle = 1-4x
Area of square = x ^ 2
Area of circle = π [(1-4x) / 2 π] ^ 2 = (1-4x) ^ 2 / 4 π
4πS=4πx^2+16x^2-8x+1
=4(π+4)x^2-8x+1
πS/(π+4)=x^2-2x/(π+4)+1/4(π+4)
=（x-1/(π+4))^2+π/4(π+4)^2
When x = 1 / (π + 4), the sum of areas is the smallest
Given that a = - y ^ 2 + AY-1, B = 2Y ^ 2 + 3ay-2y-1, and the value of polynomial 2A + B has nothing to do with the value of letter Y, find the value of A
2A+B=-2y^2+2ay-2+2y^2+3ay-2y-1
=(5a-2)y-3
The value of the polynomial 2A + B is independent of the value of the letter y
5a-2=0
a=2/5
A company sells a brand car in a and B, and the profit is L1 = 5.06-0.15x2 and L2 = 2x, where x is the sales volume. If the company sells 15 cars in these two places, what is the maximum profit
I don't know if it's 450! There's something wrong with the title you wrote! L1 = 5.06-0.15x2
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